tongil ballscrew catalog (english)

TSF Type (No preload)(Tube Type, Flange, Single-nut)

TFP Type (Integrally Preloaded )(Tube Type, Flange, Single-nut)

TFN Type (Tube Type, Flange, Double-nut)

TFF Type (Tube Type, Flange-to-Flange, Double-nut)

DSF Type (No preload)(Deflector Type, Flange, Single-nut)

DFP Type (Integrally Preloaded)(Deflector Type, Flange, Single-nut)

DFN Type (Deflector Type, Flange, Double-nut)

DFF Type (Deflector Type, Flange-to-Flange, Double-nut)

YEF Type (Preloaded with Oversize Balls)(Endcap Type, Flange, Single-nut)

LEF Type (No Preroad)(Endcap Type, Flange, Single-nut)

LTF Type (No preload)(Tube Type, Flange, Single-nut)

LTP Type (Preloaded with Oversize Balls)(Tube Type, Flange, Single-nut)

TBSF Type (Tube Built-in Flange nut)

TNSF Type (Outer Diameter small Flange nut)

TMS Type (Triangle Screw Type nut)

TRS Type (Square Shape nut)

8

Main Product Items

High-tech equipment system of TIC produces the best ball screw with high technical skills

In order to keep the whole temperature and humidityconstantly in the main production line, 4 thermo-hygrostats are automatically operated, therefore the production of the goods with high precision is available minimizing the error due to difference of temperature and humidity such as bending under the process, change of length, etc..

NUT Form Measuring Instrument

Shaft Laser Measuring Instrument

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Equipment System

Shaft proportional Measuring instrument

Torque Measuring instrument

NUT Thread Internal Grinding Machine (Matrix)

Shaft Cylindrical Grinding Machine (Kondo)

Shaft Thread External Grinding Machine (Mitsuisiki)

Quality System

MainProduction Equipment

This tester helps to solve the precision and noise problems which happen to ball screws and analyze the problems through computers to find out the causes of defects. It is an important piece of testing equipment which TIC has developed on its own.

This is a device to secure customers’ reliability by improving feeding accuracy of NC machine tools measuring the rigidity of ball screws in axial direction and conducting optimum design to minimize displacement by cutting forces.

rigidity tester

Ball screw total tester

displacement sensor

10 11

Introducing new Ball Screw

Quality Assurance Facilities

Equipment System

How to read the measured data

Average-Range

Upper limit

Actual value

Lower limit

Base line

Rigidity

- Low noise and good sound quality achieved improved ball circulation structure (Structure to reduce ball impulsive sound)- Noise reduction achieved by change of material (Adoption of material with low impulsive sound)- Higher precision of ball track shape (Improvement in track shape and surface roughress)

- Written in 3 -

Noise comparison between conventional and new products

Circulation in tangential directions

Circulation in lead angle directions

Contribution to comfortable environmentFirst step toward production of low-noise machines and equipment

Features

Construction Performance

10 11


High-speed Low-Noise Ball Screws (YEF Type)

Shaft diameter

Lead

Steel diameter

Lubricants

No. of winding

Noise Assessment distance between microphone and ball screw

Noise reduction effectiveness increases as the speed increases

New ProductsComparison Products

Rotation speed of shaft

- Low noise and anacceptable running sound- The use of ball cage reducing the fluctuation in dyramic torque, thus to achieve smooth motion- Grease pockets to be achieving long-term mainte nance-free operation

High speed ball screw with caged

Low noise, Low torque frictionLong-term, maintenace free operation

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Features

Construction

Performance

Preload torquePreload torque

Preload torque

Standard products

Retainer applied products

Conventional products

New products

Features 1. Noise reduction effectiveness increases as the speed increases. 2. About 6 dB less than the conventional tube. (3,500 RPM)


comparative circulation of friction torque noise test data




High-speed Precision Ball with Air Cooling sustem

Actions against thermal displacement by frictionLow friction/low heat dissipation structure

- Built-in shaft/unit air cooling mechanis mand high-precision feed with minimal environmental impact- Low noise and good sound quality achieved improved ball circulation structure (Structure to reduce ball impulsive sound)- Higher precision of ball track shape (Improvement in track shape and surface roughness)- Maximum feed speed : 60mm/min

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Features

Construction

Cooling data

T.P. Model no.

Shaft diameter

Lead

Number of coils

Max-speed

Max-acceleration

Weight of moving part

windings

General products

Air cooling products

Coil and air filled products

Time

Test Conditions

T.P. Model no.

Shaft diameter

Lead

Number of coils

Max-speed

Max-acceleration

Weight of moving part

windings

General products

Air cooling products

Coil and air filled products

Time

Temperature increase data (Measuring position : nut)

Air cooling structure

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TIC Precision Ball Screws :Types, Series, and Construction

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Table 1.1 TIC Precision Ball Sc rews : Types, Series, and Construction

Series

1. T Series(Tube type : externalball circulation)

A tube is provided in the nut. Steel balls, rolling in the grooves between the shaft and nut, enter the tube and roll down. They then return to the groove between the shaft and nut. This series fits the widest variety of applications among the series, and is suitable for standard manufacture.The nut outer diameter is determined such that the components through which balls circulate (tube and holder) cannot move beyond the nut circumference.The nut outer diameter which is smaller then tube and holder position is also available on request. Deflectors are provided inside the nut. Steel balls, rolling

Deflectors are provided inside the nut. Steel balls, rolling in the grooves between the shaft and nut, move along the grooves of deflector. They then return to the groove between the shaft and nut, passing through the shaft groove rand. Since steel balls circulate inside the nut, the nut outer diametercan be small. The deflectors are placed at equally spaced on the nut outsidesurface, so the nut can retain good balance.

The L series is characterized by a large lead. Precise nut positioning is possible at high speed. They can be classified into the tube type and end cap type, according to the steel ball circulation system.

It is characterized by high speeds and clean and clear sounds through smooth rotation by making the rotation direction of the steel ball consistent with the lead angle. It is also possible to make the same rigidity of products with the internal circulation type and compact structure, which is 30% more compact than conventional products.

R series represent form rolling ball screw and the type use a tube type.Tube inserting method can be divided into 4 kinds including a dumping type where insert completely into nut outer diameter and a projecting type where project to outside

2. D Series(Deflector type : internalball circulation)

3. L Series(Tube type)

4. E Series(Endcap type)

5. R Series(Rolling Ball Screw)

Construction

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TFN Type(Flange, Double-nut)TSF Type(No preload, Flange, Single-nut)TFP Type(Preload, Flange, Single-nut)TFF Type(Flange-to-flange, Double-nut)TNN Type(No flange, Double-nut)TSN Type(No preload, Single-nut)TPN Type(Preload, Single-nut)YTF Type(Preloaded with Oversize Balls)

DFN Type(Flange, Double-nut)DSF Type(No preload, Flange, Single-nut)DFP Type(Preload, Flange, Single-nut)DFF Type(Flange-to-flange, Double-nut)DNN Type(No flange, Double-nut)DSN Type(No preload, Single-nut)DPN Type(Preload, Single-nut)YDF Type(Preloaded with oversize balls)

LTF Type(Tube type, No preload, Flange)LTP Type(Tube type, Preload, Flange)

TBSF Type(Tube Built-in Flange Nut)TNSF Type(Outer Diameter Small Flange Nut)TMS Type(Triangle Screw Type Nut)TRS Type(Square Shape Nut)

YEF Type(Preloaded with Oversize Balls)H-ESH Type(No preload)

Type Page

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TIC Precision Ball Screw Features

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TIC Precision Ball Screw Specifications

High transfer efficency.

Ball screws, unlike slide screws, produce extremelylow friction. They achieve high transfer efficiency,while maintaining running torque at one-third that ofslide screws. Great thrust load can be obtained atsmall torque.

Figs. 2.1 and 2.2 show ball screw transfer efficiency.Ball screws convert rotary motion into linear motionin normal use, but can also be used to convertlinear motion into rotary motion(reverse action).

Fine travel capabilities.

The rolling contract of ball screws contributesextremely low starting friction. They do not produceany stick slip, to which slide screws are liable.Ball screws can be controlled precisely is a finetravel.

High rigidity with preload.

High rigidity can be achieved by using a preloadwith two nuts, or by using a preload with oversizeballs in single nut, which eliminates axial clearance.

Long service life.

Steel balls roll on heat-treated or hardened groovesis extremely low, and high precision can bemaintained over a long period of time.Service life can be estimated by calculation.

Easy maintenance.

Unlike slide screws, ball screws do not requirefrequent lubrication. Under normal operatingconditions, they operate satisfactorily with anoccasional supply of grease or lubrication oil.

High reliability

TIC precision ball Screws are highly reliable,produced at plants where temperature is strictlycontrolled. They are controlled under an integratedquality control system, which governs material,production equipment, production and inspection.

The relationship between input and output can beexpressed by equation 2.1 below.

W h e r e ,1 : Input torque1 : Output thrust: Lead, mm

1 : Efficiency in normal action

Fig. 2.1 Mechanical Efficiency of Precision BallScrews(Normal Action)

The relationship between input and output can beexpressed by equation 2.2 below.

W h e r e ,2 : Input torque2 : Output thrust: Lead, mm

2 : Efficiency in active action

Fig. 2.2 Mechanical Efficiency of Precision BallScrews(Reverse Action)

1 =2 1

1

2 =2

2 2

*

*

*

*

*

16

TIC Precision Ball Screw Features

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TIC precision ball screw tolerances (class 5 and above) are established according to Japanese Industrial Standards(JIS).The lead tolerances are defined in Fig. 3.1.

Lead tolerances

Lead Precision Terms

1) Basic lead.

The lead used as basic.It is normally the same as the nominal lead. However, a modified value may intentionally be used depending on the purpose.

2) Cumulative basic lead(Cumulative lead target value).

The value obtained by deducting the cumulative lead of the effective threaded portion length from the basic lead(Cumulative nominal lead). To make relevant compensation in case of shaft elasticdeformation due to external loads or in case of deformation due to temperature variation, ball screws may be produced to a cumulative basic lead that may either be larger or smaller than the basic lead.

3) Cumulative actual lead.

The cumulative lead is obtained by measuring at an optionally selected cross section which includes the shaft axis.

4) Cumulative representative lead.

A straight line that represents the tendency of cumulative leads. This is obtained by approximating the cumulative actual lead curve by the method of least square or by similar approximation method.

5) Cumulative representative lead error.

The value obtained by deducting the cumulative basic lead from the cumulative representative lead.

6) Variation

The width of the cumulative actual lead variation. It is obtained by drawing two lines, one of which runs on the peak of the variation on the upper side of the cumulative actual lead curve, and the other, on the lower side of the curve. The two lines should be parallel to the representative lead line.

: Maximum width for the entire effective threaded portion length.

3 0 0 : Maximum width for a 300-mm range optionally designated in the effective threaded portion l e n g t h .

2 : Maximum width of difference between an actuallymeasured axial lead and the basic lead for an optionally designated rotation angle.The angle should be designated not to exceed one entire turn of the shaft.

Refernce

The cumulative lead error for general-purpose ballscrews C7 and C10 is determined solely depending ontolerances for a 300mm range optionally designatedwithin the effective threaded portion length.

Fig. 3.1 Definition of Cumulative Lead Error Terms

C l a s s Cumulative Lead Error,

*

*

*

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19


Unit :

Effective ThreadedPortion Length

Tolerance Class

O v e rI n c lCumulative representative lead error

Variation Variation Variation Variation Variation Cumulative representative lead error

Cumulative representative lead error



Table3.1 Cumulative Cumulative Representateiv Lead Errors and Allowable Variation Values

Unit :

Tolerance Class

I t e m

Table3.2 Tolearnces of Variation for 300mm in the Eefcftiev Threaded Portion Length ( ) and Variation for 2 ra d( )

Unit :

Axial Clearance

Tolerance Class preloaded Up to Up to Up to Up to

- -- -- -

--

-

Table 3.3 Available Combination of Axial Clearance Size and Thread Tolerance

Axial Clearance *

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Regular combinations of shaft outerdiameter and lead

Table 3.4 shows regular combinations of the shaftouter diameter and lead. For products of otherspecifications, please consult TIC.

Table 3.4 Standard Combinations of Shaft Outer Diameter and Lead

P roducible range in overall shaft length

Fig. 3.2 shows the producible range of precision ballscrews in terms of overall shaft length. For thoseexceeding the shown ranges or extra small ballscrews, please consult TIC.

Fig. 3.2 Producible Range in Overall Shaft Length

Material and heat treatment

The hardness of groove surfaces is critical for ballscrew service life. TIC uses materials and heattreatments listed in Table 3.5 below to achieveappropriate hardness.

Table 3.5 Precision Ball Screw Materials and HeatTreatments

For use in special environments, e.g., in a corrosiveenvironment or in a vacuum, ball screws made fromspecial material, such as stainlesssteel(e.g.SUS440C), are also available on request.Please consult TIC.

Unit :

Shaft OuterDiameter

S h a f t

N u t

Lead

**

*

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Preload engineering and preload torque

Ball screws normally have a slight clearancebetween steel balls and groove surfaces. If noclearance is provided, backlash occurs due toelastic displacement caused by axial loads. Toprevent this, ball screws are preloaded, i.e., axialloads are applied, giving elastic displacement tosteel balls and groove surfaces and eliminating axialclearance, while enhancing rigidity.

1) Preloading systems

(a) Spacer preloading system A spacer is provided between two nuts, when preloading the ball screw. There are two methods in this s y s t e m .One is to provide a thick spacer between two nuts to apply an appropriate size of preload tothe ball screw(Fig. 3.3). This method is called tensile preload.

Fig. 3.3 Tensile Preload.

The other is to provide a thin spacer between two nuts to apply an appropriate size of preloadto the ball screw(Fig. 3.4). This method is called compression preload.

Fig. 3.4 Compression Preload

(b) Single-nut preloading system

This method uses a single nut to preload the ball screw. There are two methods. One method uses steel balls which are slightlylarger than the ball grooves, as shown in Fig.

3.5. The balls are in contact with the grooves between the nut and shaft at four points, whenpreload the ball screw. This method is called preload with oversize balls.

Fig. 3.5 Preload With Oversize Balls

In the second method, nut is grinded by shiftingthe screw lead at middle point, as shown in Fig. 3.6 to produce an appropriate preload.This is called integral preload .

Fig. 3.6 Integral Preload

(c) Constant preloading system

This system uses two nuts, between which a spring is provided, to give a specified size of preload to the ball screw. This system can keep torque variation low.

Fig. 3.7 Constant Preload

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2) Effects of preload

The relationship between ball screw axial load and elastic displacement can be expressed as

( : constant), according to Hertz s theory.

Supposing that preload P is working on both nuts A and B as in Fig.3.8, axial displacement p

occurs on both, as shown in Fig.3.6.

If axial load Pa is exerted externally under these conditions, nut A axial displacement occurs. It can be expressed as follows:

A p a

Nut B axial displacement is expressed as follows: B p a

Therefore, the loads working on the respective nuts can be expressed as follows:

A p a a

B p a

If axial load Pa enlarges and external axial displacement on nut B( B) becomes zero eventually ( a b), A equals p.

Therefore, the following equations are established:

p • p and p • b

Based on these equations, b can be expressed as follows:

These equations show that, when an axial load isapproximately three times as large as the preload(load), axial displacement is p. This means that, compared with when no preload is given, the ball screw is twice as rigid.A preload is effective when the external axial load is approximately three times as large as the preload or less. It is recommended, therefore, to apply a preload that is approximately one-third the maximum axial load.

Fig.3.10 shows two curves of nut axial displacement, one without a preload, the other with a preload.

Fig.3.8 Loads on Preloaded Ball Screws

Fig. 3.9 Relationship between Nut

Fig. 3.10 Difference in Nut Axial Displacementbetween with a Preload and without a Preload

p( )b b p p

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3) Preloading torque

Preloaded ball screws are exposed to dynamic torque. Terminology related to the torque, a torque calculation equation, and an allowable torque variation range are given below.

(a) Preloading torque terminology

Preloading dynamic torque:

An amount of dynamic torque which is required to rotate the shaft or the nuts continuously when the ball screw is given a specified.

Reference torque:

A target amount of preloading dynamic torque.

Torque variations:

Variations in the target preloading dynamictorque. They can be larger or smaller than the reference torque.

Torque variation ratio:

The ratio of torque variations to reference torque.

Actual torque:

Preloading dynamic torque measured on an actual ball screw.

Average actual torque:

The average of the maximum and minimum actual torque values measured by reciprocating the nut on the effective threaded portion.

Average actual torque variations:

The maximum and minimum actual torque

values measured by reciprocating the nut on the effective threaded portion.It can be larger or smaller than the average actual torque.

Actual torque variation ratio:

The ratio of actual torque variations to average actual torque.

(b) Reference torque ( p) calculation equation

Reference torque p on a preloaded ball

screw can be calculated with equation 3.1 given below:

W h e r e ,

p : Reference torque,

p : Preload,

: Lead,

: Lead angle, degrees

p : Steel ball pitch circle diameter,

(c) Torque variation ratio tolerances(Refer to Table 3.6.)

p

p

p

Unit :

R e f e r e n c eT o r q u e( )

Effective Threaded Portion Length

Up to 4,000 Over 10,000Up to 4,000

Relation of(screw length / screwO.D.): 40 or Less

Relation of(screw length / screwO.D.): 60 or Less

-

Tolerances Class Tolerances Class Tolerances Class

O v e r L e s s

Table 3.6 Torque Variation Ratio Tolerances

( R e m a r k s ) 1) Relation of screw length / screw O.D. refers to the value obtained by dividing the threaded portion length by the shaft nominal outer diameter.

2) Those of reference torque 0.2 or less are controlled based on other TIC standards .

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Fig. 3.11 Precision of Ball Screw Fittings

TIC Precision ball screws are identified by a numbering system as show below. Each number or letter represents amajor specification.

No. of circuit (No. of turns X No. of row)

Overall shaft length ( )

Precision class

Thread length ( )

Thread direction (No letter: Right-handed/ L: Left-handed)

L e a d ( )

Shaft diameter ( )

Nut type code (Refer to Page 7)

*

*

P recision of ball screw fittings

Fig. 3.11 shows what items should be checkedregarding the precision of ball screw fittings. Eachitem is outlined below:

(1) Redial deviation of the shaft supporting part cylindrical surface to the axis of the threaded p o r t i o n .

(2) Concentricity of the ball screw fitting to the shaft supporting part axis.

(3) Perpendicularity of the bearing installation face to the shaft supporting part axis.

Definition of product NO

(4) Perpendicularity of the nut reference end face or flangeinstallation face to the shaft axis.

(5) Concentricity of the nut outside surface(cylindrical) to the shaft axis.

(6) Parallelism of the nut fitting surface(installation plane) to the shaft axis.

(7) Total radial deviation of the shaft axis.These precision control items are as specified in JIS B 1191 and B 1192. Some tolerances at TIC are stricter JIS.

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Selection of Precision Ball Screws

25


Allowable axial load

Select a ball screw of an appropriate shaft diameterwhich will not be buckled axially under the maximumcompression load.An allowable axial load on the shaft can be obtainedby equation 4.1 given below.

W h e r e ,: Allowable axial load, : Safety factor (0.5): Young s modulus (2.06x10 5 ): Shaft minimum geometrical moment of inertia, 4

r : Shaft root diameter, : Distance between effective load centers, : Factors to be used according to the ball screw

Supported - Supported = 1Fixed - Supported = 2Fixed - Fixed = 4Fixed - Free = 0 . 2 5

Fig. 4.1 is a diagram of allowable axial loads for TICprecision ball screws. Please refer to it in selectingthe minimum shaft diameter required in terms of axialload accommodation.

2( )2

6 4r4

Fig. 4.1 Allowable Axial Load Diagram

*

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Maximum allowable speed

1) Critical speed

A ball screw rotates while bending by the weight of the shaft.When the rotation speed is close to the shaft s resonant point, resonance may occur.Therefore, ball screws need to be used in such a way that its rotation speed does not reach the resonance-starting point (critical speed).The critical speed can be obtained by equation 4.2 below.

W h e r e ,

: Critical speed, : Safety factor (0.8): Young s modulus(2.06x10 5 ): Shaft minimum geometrical moment of inertia,

r : Shaft root diameter, : Distance between effective load centers, : Steel density(7.85)

: Shaft minimum cross-sectional area,

: Factors to be used according to the ball screw

Supported- SupportedF i x e d - S u p p o r t e dFixed-Fixed Fixed-Free

2)

The maximum allowable speed is restricted by steelball peripheral speed, as well.

≦ 7 0 , 0 0 0Where,

: Steel ball pitch diameter, : Rotation speed,

Products beyond the above allowable values arealso available. Please consult TIC for such specialp r o d u c t s .Fig. 4.2 is a diagram of allowable rotation speeds forTIC precision ball screws. Please refer to it inselecting the best shaft diameter for a given set ofrotation speed conditions.

6 4r4

4r2

2

6 0 x 2 x 10 9

Fig. 4.2 Allowable Rotation Speed Diagram

*

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Installation methods

Fig. 4.3 shows representative ball screwinstallation methods.How a ball screw is installed hasconsiderable effect on allowable axialloads, i.e., for buckling prevention, as wellas on allowable speed ranges, determinedso as not to reach a critical speed. Selectan installation method considering thesepoints of view.For special installation method andapplication under severe operatingconditions, consult TIC.

Fig. 4.3 Ball Screw Representative Installation Methods

*

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Life Ball screw life is expressed as a total number ofrotations the screw makes before flaking occurs onthe groove or steel ball surfaces due to rollingfathgue resulting from repeated stresses.In order to obtain the rated life of ball screws, theyare rotated in a group under the same conditions.The total number of rotations which 90% of ballscrews can make without flaking is called the ratedlife. The axial load under which the ball screw srated life is 10 6 times of rotation is called the basicdynamic load capacity ( ) .The basic dynamic load capacity values are given inthe Ball Screw Dimension Tables.

1) Estimation of lifeThe rated life is expressed in terms of the total number of rotations, the total rotations hours, and the total running distance. They can be calculated by equations 4.3, 4.4 and 4.5.

Total number of rotations

Total rotation hours

Total running distance

W h e r e ,Total number of rotations, Total rotation hours, Total running distance, Basic dynamic load capacity, Axial load, Rotation speed, Lead, : Load factor

For smooth, impact-free rotation : 1 . 0 ~ 1 . 2For rotation under average conditions : 1 . 2 ~ 1 . 5For rotation with impact : 1 . 5 ~ 3 . 0

If loads and rotation speed vary, estimate life with anaverage load and average rotation speed. For howto obtain an average load and average rotationspeed, refer to the care of Precision Bearings.In case that axial load fluctuates and number ofrevolutions differs under each load, the average axialload and number of revolutions can be calculated bythe following equation for estimation of lifee x p e c t a n c y .

A required ball screw life is determined dependingon the equipment to which the screws are applied,as well as on rotation conditions.Table 4.1 shows average life required for ball screws:

Table 4.1 Average life Required for Ball Screws

Fig. 4.4 shows the relationship between rotationspeed, life in hours, and the ratio of the basicdynamic load capacity to the axial load.(However,the data applies to smooth, impact-free rotation.)

( ) x 1 063

( 4 . 3 )

6 0h ( 4 . 4 )

1 06s ( 4 . 5 )

Machine Type Life in Hours

Machine tools 20,000 hoursIndustrial machines 10,000 hours

Automatic control equipment 15,000 hoursMeasuring instruments 15,000 hours

Fig. 4.4 Ball Screw Life(Smooth, Impact-free, Rotation)

*

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2) Allowable load on grooves

To evaluate load conditions under a very low rotation speed or under a standstill condition, be sure that themaximum axial load is less than the basic static load c a p a c i t y .The basic static load capacity is an axial load at which the sum of permanent deformations at the contact between the shaft and balls and at the contact between the nut groove and steel balls is one ten thousandth the steel ball diameter that is confirmed free from problems under a given set of operating conditions.The basic static load capacity requirement can be calculated by equation 4.6.

W h e r e ,

: Basic static load capacity, : Maximum axial load, : Safety factorOperation under average condition : 1 ~ 2Operation under impact and vibration : 2 ~ 4

3) Influence of unbalanced loads

If ball screws are exposed to unbalanced loads(moment loads or radial loads), loads concentrate on a local part of the steel balls. This results in adverse effects on performance and may shorten ball screw life.Control installation precision extremely carefully.

Recommended installation precision control valueInclination error: 1/2 000 or lessMisalignment: 0.020 mm or less

Fig. 4.6 shows estimated life decrease when ball screws are exposed to moment loads.

4) Influence of hardness

If a ball screw has surface hardness below 58HRC, being made from special material, ball screw life may be lower. It should be calculated by correcting the standard dynamic load capacity value( ) and basic static load capacity value( ) .Correct the standard and with equations 4.7 and 4.8.

W h e r e ,: Basic dynamic load capacity hardness factor(according to data given in Fig. 4.7): Basic static load capacity hardness factor(according to data given in Fig. 4.7)

Fig. 4.5 Unbalanced Load

Fig. 4.6 Influence of Installation Precision on Life

Fig. 4.7 Hardness Factors

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Rigidity of whole feed shaft system

To ensure high positioning precision in applicationsto precision machines such as numerically controlledmachine tools, not only rigidity between grooves andsteel balls, but also rigidity of all components of theentire feed shaft system should be evaluated.

The rigidity of a feed shaft system can be expressedby equation 4.9.

W h e r e ,: Rigidity of the entire feed shaft system,

1 : Shaft rigidity, 2 : Rigidity between grooves and steels balls, 3 : Rigidity of support bearing, 4 : Rigidity of nut and bearing installation fitting,

1) Rigidity of the entire feed shaft system :

W h e r e ,

: Axial load on the feed shaft system, : Axial elastic displacement of the feed shaft system,

2) Shaft rigidity :

(a) Standard installation(Refer to Fig. 4.8)

W h e r e ,

: Minimum cross-sectional area of the shaft,

E : Young s modulus(2.06 1 0 5 )L : Distance between effective load centers,

(b) When both ends are fixed(Refer to Fig. 4.9)

W h e r e ,

,a n d : Distance between effective load centers, Maximum axial displacement occurs when the following equation is established:

In this case,can be expressed as follows:

1 2

Fig. 4.8 Standard Installation

Fig. 4.9 When Both Ends Are Fixed

3 4

1 0

1 0

1 0

*

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31


3) Rigidity between grooves and steel balls :

(a) Rigidity when no preload is applied(when a clearance is provided).

The relationship between axial load and axial elastic displacement can be expressedby equation 4.10 below:

W h e r e ,

: Constant determined based on the material, shape, and dimensions.(2.4~2.6): Contact angle between grooves and ball screws, degrees: Ball screw diameter, : Axial load, : Number of steel balls that are exposed to axial loads

Theoretical rigidity value is obtained based onelastic displacement between grooves and steelballs under an axial load which is equivalent to 30%of basic dynamic load capacity .The value is as shown in the Dimension Tables. Innormal applications, assume rigidity to be 80% of thevalue to be safe.

Rigidity value under conditions where axial load is different from three-tenths of can be calculatedby equation 4.11.

W h e r e ,: Rigidity value specified in the dimension table, : Axial load, : Basic dynamic load capacity,

(b) Rigidity when a preload is appliedTheoretical rigidity value is obtained based on elastic displacement between grooves andsteel balls under a preload which is equivalent to 10%(or 5% for single-nut screwspreloaded with oversize balls) of basic dynamic load capacity .The value is as shown in the dimension table.In normal applications, assume rigidity to be 80% of the value to be safe.

Rigidity value under conditions where axial load is different from one-tenth(or one twentieth) of can be calculated by equation4 . 1 2 .

W h e r e ,: Rigidity value specified in the dimension table, : Axial load, : Basic dynamic load capacity, : Correction factor= 0 . 1=0.05(preloaded with oversize balls)

4) Rigidity of support bearing :

Angular contact ball bearings are often used to support ball screws.The rigidity of these bearings can be calculated by equation 4.16 below.

W h e r e ,

: Preload on support bearing, : Axial elastic displacement to the preload,

: Contact angle, degrees: Steel ball diameter, : Number of steel balls

5 ) Rigidity of nut and bearing installation fitting :

The rigidity of nut and bearing installation fitting should be examined thoroughly when designing to ensure high rigidity.

{ }( )

{ }( )

( )

( )

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Driving torque

1) Ball screw torque

Ball screw torque can be calculated based on operating conditions and an applied preload.

(a) Normal actionTorque produced when a ball screw converts rotary motion into linear motion can be calculated by equation 4.15.

W h e r e ,

1 : Normal action torque, : Axial load, : Lead,

1 : Normal action factor (0.9~0.95)

(b) Reverse actionTorque produced when a ball screw converts linear motion into rotary motion can be calculated by equation 4.16.

W h e r e ,

1 : Reverse action torque, : Axial load, : Lead, 2 : Reverse action factor (0.7~0.85)

(c) When a preload is appliedDynamic torque produced by a preload can be calculated by equation 4.17.

W h e r e ,

D : Preloaded nut dynamic torque, : Preload, : Lead, : Preload torque factor( 0 . 2 )

2) Motor driving torque

Torque required to drive a mechanical system in counteraction to external loads can be calculated as follows:

(a) Driving torque at constant speed

W h e r e ,1 : Driving torque at constant speed, : +9 . 8x1 : Axial component on the shaft, such as cutting power, : Movable component mass, : Sliding face friction coefficientB : Support bearing dynamic torque,

(b) Driving torque during acceleration

W h e r e ,: Maximum driving torque during acceleration,: Motor angular acceleration, : Motor inertial moment, : Shaft inertial moment, : Gravitational acceleration( )

1

1 x 1 0- 3(

22 x 1 0- 3

1

D x 1 0- 3

1 B )

2 1

M s ( )

Fig. 4.10 Motor Driving Torque

*

T Series

P recision Ball Screws T Series (Tube Ty pe )

The T series fits the widest variety of applications among all the

whole series. They are suitable for standard manufacture.

1) TF Type (Tube Type, Flange, Single-nut)

This type of ball screw has the simplest structure, provided with a

single nut. The flange shape can be selected from between round

(A) and notched (B). Select the most suitable depending on the

space and installation position.

TSF Type (No preload)

This ball screw has a little axial clearance.

YTF Type (Preloaded with Oversize Balls)

This ball screw is preloaded with balls that are slightly larger

than the groove dimension of the shaft and nut. The loading

balls and spacer balls are used at a 1-to-1 ratio.

This type of ball screw is suitable in applications where lightly

preloaded ball screws are required.

TFP Type (Integrally Preloaded)

This ball screw is preloaded by shifting the screw lead of nut

so as to produce an appropriate preload. This is the same

system as used in double-nut ball screws, though this ball

screw has a single nut.

This type of ball screw is suitable in applications where lightly

preloaded or medium preloaded ball screws are required.

2) TFN Type (Tube Type, Flange, Double-nut)

A spacer to produce an appropriate preload is built between the

two nuts.

This type of ball screw is suitable in applications where medium-

preloaded or heavily preloaded ball screws are required.

3) TFF Type (Tube Type, Flange-to-flange, Double-nut)

A spacer to produce an appropriate preload is built between the

two nuts.

This type of ball screw is suitable in applications where medium-

preloaded or heavily preloaded ball screws are required.

For the construction of nuts, please refer to Table 1.1, TIC Precision

Ball Screws: Types, Series, and Construction given in the engineering

data section. For preload, please refer to Section 3.6, Preload and

preload torque which is also included in the engineering data section.

Ball Screw

1) WiperWhen placing an order, please specify whether or not a wipershould be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shownbelow .

2) RigidityRigidity values given in the table are calculated based on axialelastic displacement that occurs between grooves and steel ballswhen the ball screw is under an axial load that is equal to 30% ofthe basic dynamic load capacity ( ) .

3) Nut flange shapeThe nut flange shape should be selected form between type A(standard) and type B, depending on the space and installation position.

Nut No. L e a d Ball Dia.Shaft Root

D i a .No. ofT r a c k s

Basic LoadCapacity

Rigidity Ball CenterCircular Dia.

S h a f tO u t s i d e

D i a .Turn Circuit

36

Precision Ball Screws Dimension Table

37


T Series

TSF Tube Type, Flange, Single-nut Ball Screws (No Preload)

36


37


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




38


39


T Series


38


39


T Series

Nut Dimensions

Unit : mm

Nut No.






Basic LoadCapacity



D i a .Turn Circuit

40


41


T Series


40


41


T Series

Nut Dimensions

Unit : mm

Nut No.






Basic LoadCapacity



D i a .Turn Circuit

42


43


T Series


42


43


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit

1) WiperWhen placing an order, please specify whether or not a wipershould be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shown below.

2) RigidityRigidity values given in the table are calculated based on axialelastic displacement that occurs between grooves and steel ballswhen an axial load is working on the ball screw which is under apreload that is equal to 5% of the basic dynamic load capacity( ) .


4) Basic load capacityLoading balls and spacer balls are used at a 1-to-1 ratio. Thevalues are different form those of TSF type, which are not preloaded.

44


45


T Series

YTF Tube Type, Flange, Single-nut Ball Screws (Preloaded with Oversize Balls)

44


45


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit





46


47


T Series


46


47


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit





48


49


T Series


48


49


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit

1) WiperWhen placing an order, please specify whether or not wiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with w iper is shown above the center line, and that without wiper is shown below.

2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) .

3) Nut flange shapeThe nut flange shape should be selected form betweentype A (standard) and type B, depending on the space andinstallation position.

50


51


T Series

TFP Tube Type, Flange, Single-nut Ball Screws (Integrally Preloaded )

50


51


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




52


53


T Series


52


53


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




54


55


T Series


54


55


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




56


57


T Series


56


57


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit

1) WiperWhen placing an order, please specify whether or not a wiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based on axial elasticdisplacement that occurs between grooves and steel balls when anaxial load is working on the ball screw which is under a preload thatis equal to 10% of the basic dynamic load capacity( ) .


58


59


T Series

TFN Tube Type, Flange, Double-nut Ball Screws

58


59


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



60


61


T Series


60


61


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



62


63


T Series


62


63


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



64


65


T Series


64


65


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



66


67


T Series


66


67


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit

1) WiperWhen placing an order, please specify whether or not awiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut witha wiper is shown above the center line, and that withouta wiper is shown below.

2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between groovesand steel balls when an axial load is working on the ballscrew which is under a preload that is equal to 10% ofthe basic dynamic load capacity( ) .

68


69


T Series

TFF Tube Type, Flange-to-flange, Double-nut Ball Screws

68


69


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



70


71


T Series


70


71


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



72


73


T Series


72


73


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



74


75


T Series


74


75


T Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



76


77


T Series


76


77


T Series

Nut Dimensions

Unit : mm

Nut No.

Ball Screw

D Series

Precision Ball Screws D Series (Deflector Type )

This series has compact nuts, in witch steel balls circulate.

1) DF Type (Deflector Type, Flange, Single-nut)

This type of ball screw has the simplest structure, provided with a single nut.

The flange shape can be selected from between round (A) and notched (B).

Select the most suitable depending on the space and installation position.

DSF Type (No Preload)


DFP Type (Integrally Preloaded)

This ball screw is preloaded by shifting the screw lead of nut so as to

produce an appropriate preload. This is the same system as used in

double-nut ball screw, Though this ball screw has a single nut.

This type of ball screw is suitable in applications where lightly preloaded or medium-preloaded ball screws are required.

YDF Type (Preloaded with Oversize Balls)

This ball screw is preloaded with balls that are slightly larger than the

groove dimension of the shaft and nut. The loading balls and spacer

balls are used at a 1-to-1 ratio. This type of ball screw is suitable in

applications where lightly preloaded ball screws are required.

2) DFN Type (Deflector Type, Flange, Double-nut)

A spacer which to produce an appropriate preload is built between the two nut.

This type of ball screw is suitable in applications where medium-preloaded

or heavily preloaded ball screws are required.

3) DFF Type (Deflector type, Flange-to-flange, Double-nut)

A spacer to produce an appropriate preload is built between the two nuts.

This type of ball screw is suitable in applications where medium-preloaded

or heavily preloaded ball screws are required.







Basic LoadCapacity



D i a .Turn Circuit

1) WiperWhen placing an order, please specify whether or not awiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with awiper is shown above the center line, and that without awiper is shown below.

2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when the ball screw is under an axial load that isequal to 30% of the basic dynamic load capacity( ) .

3) Nut flange shapeThe nut flange shape should be selected form between typeA (standard) and type B, depending on the space andinstallation position.

80


81


D Series

DSF Type, Deflector Type, Flange, Single-nut Ball Screws (No Preload)

80


81


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit


2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when the ball screw is under an axial load that isequal to 30% of the basic dynamic load capacity( ) .


82


83


D Series

DSF Type, Deflector Type, Flange, Single-nut Ball Screws (No Preload)

82


83


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




84


85


D Series

DFP Type, Deflector Type, Flange, Single-nut Ball Screws (Integrally Preloaded)

84


85


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




86


87


D Series


86


87


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




88


89


D Series


88


89


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




90


91


D Series

DFN Type, Deflector Type, Flange, Double-nut Ball Screws

90


91


D Series

Nut Dimensions

Unit : mm

Nut No.






Basic LoadCapacity



D i a .Turn Circuit

92


93


D Series


92


93


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




94


95


D Series


94


95


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit




96


97


D Series


96


97


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit

1) WiperWhen placing an order, please specify whetheror not a wiper should be provided, as nutlengths are different.In the illustration on the far right, the shape of anut with a wiper is shown above the center line,and that without a wiper is shown below.

2) RigidityRigidity values given in the table are calculatedbased on axial elastic displacement that occursbetween grooves and steel balls when an axialload is working on the ball screw which is undera preload that is equal to 10% of the basicdynamic load capacity( ) .

98


99


D Series

DFF Type, Deflector Type, Flange-to-flange, Double-nut Ball Screws

98


99


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



100


101


D Series


100


101


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



102


103


D Series


102


103


D Series

Nut Dimensions

Unit : mm

Nut No.



Basic LoadCapacity



D i a .Turn Circuit



104


105


D Series


104


105


D Series

Nut Dimensions

Unit : mm

Nut No.

Ball Screw

Precision Ball Screws L Series

The L series is characterized by a large lead.

Precise nut positioning is possible at high speed.

1) LTF Type (Tube Type, Flange, Single-nut)

LTF Type (No Preload)


LTP Type (Preloaded with Oversize Balls)

This ball screw is preloaded with balls that are slightly larger than

the groove dimension of the shaft and nut.

L Series





1) LTP Type (Preloaded with Oversize Balls) Loading ballsand spacer balls are used at a 2-to-1 ratio.

2) RigidityLTF series rigidity values given in the table are calculatedbased on axial elastic displacement that occurs betweengrooves and steel balls when the ball screw is under anaxial load that is equal to 30% of the basic dynamicload capacity(Ca).

LTP series rigidity values given in the table are calculatedbased on axial elastic displacement that occurs betweengrooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to5% of the basic dynamic load capacity( ) .



Basic LoadCapacity



D i a .Turn Circuit

108


109


L Series

LTF Tube Type, Flange, Single-nut Ball Screws (No Preload)LTP Tube Type, Flange, Single-nut Ball Screws (Preloaded with Oversize Balls)

108


109


L Series

Nut Dimensions

Unit : mm

Nut No.

1) LTP Type (Preloaded with Oversize Balls) Loading ballsand spacer balls are used at a 2-to-1 ratio.

2) RigidityLTF series rigidity values given in the table are calculatedbased on axial elastic displacement that occurs betweengrooves and steel balls when the ball screw is under anaxial load that is equal to 30% of the basic dynamicload capacity(Ca).

LTP series rigidity values given in the table are calculatedbased on axial elastic displacement that occurs betweengrooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to5% of the basic dynamic load capacity( ) .



Basic LoadCapacity



D i a .Turn Circuit

110


111


L Series

LTF Tube Type, Flange, Single-nut Ball Screws (No Preload)LTP Tube Type, Flange, Single-nut Ball Screws (Preloaded with Oversize Balls)

110


111


L Series

Nut Dimensions

Unit : mm

Nut No.

Ball Screw

E Series

Low noise high speed ball screw E series

1) YEF model low noise high speed ball screws (Preloaded with Oversize Balls)

Insert the steel ball which is slightly bigger than the screw groove between the screw axis and the net and apply pre-load.

※ Please contact TIC as various types are available depending on pre-load methods and mounting structures.



Basic LoadCapacity



D i a .Turn Circuit

1) YEF Type (Preloaded with Oversize Balls) Loading ballsand spacer balls are used at a 1-to-1 ratio.

2) Rigidity

YEF series rigidity values given in the table are calculatedbased on axial elastic displacement that occurs betweengrooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to3% of the basic dynamic load capacity( ) .

114


115


E Series

YEF model ENDCAP type single flange and nut (Preloaded with Oversize Balls)

114


115


E Series

Nut Dimensions

Unit : mm

Nut No.

TYPE A TYPE B

Ball Screw

Precision Ball Screws R Series

1) TBSF Type Rolling Ball Screw (Tube Built-in Flange Nut)

A tube built-in type is sealed completely with glue (adhesive) in which

insert the tube entirely into the nut outer diameter.

2) TNSF Type Rolling Ball Screw (Outer Diameter Small Flange Nut)

It applies in case of small size; the tube and the holder are projected

outside of the nut.

3) TMS Type Rolling Ball Screw (Triangle Screw Type Nut )

Triangle screw located in nut outer diameter without flange,

use direct assembling method.

4) TRS Type Rolling Ball Screw (Square Shape Nut)

Since a square shape nut has a hole to support the screw,

it can be supported compactly into body of machine without housing.





R Series

A tube built-in type is sealed completely with glue (adhesive)

in which insert the tube entirely into the nut outer diameter.

Nut No.L e a d Ball B . C . D No. of Tracks

T u r n C i r c u i t

Basic Load Capacity Shaft OutsideD i a .

118


119


R Series

TBSF Type Rolling Ball Screw (Tube Built-in Flange Nut)

118


119


R Series

Nut No. Rigidity Nut Dimensions B O L T O I LHO L EAX CLE

Unit : mm

Nut No. L e a d Ball B . C . D No. of Tracks

T ur n C i r c u i t


It applies in case of small size; the tube and the holder are

projected outside of the nut.

120


121


R Series

TNSF Type Rolling Ball Screw (Outer Diameter Small Flange Nut)

120


121


R Series

Nut No.Rigidity Nut Dimensions B O L T O I L

HO L EAX CLE

Unit : mm




Triangle screw located in nut outer diameter without

flange, use direct assembling method.

122


123


R Series

TMS Type Rolling Ball Screw (Triangle Screw Type Nut )

122


123


R Series

Nut No.Rigidity Nut Dimensions

RemarksAX CLE

Unit : mm

Since a square shape nut has a hole to support thescrew, it can be supported compactly into body ofmachine without housing.




124


125


R Series

TRS Type Rolling Ball Screw (Square Shape Nut)

124


125


R Series

Nut No.Rigidity Nut Dimensions B O L T O I L

HO L EAX CLE

Unit : mm

1) Lead degree is C5 level.

2) As it is covered with rust preventive oil, the supply of oil and grease are needed in use.

3) Nut Specification•TFN TYPE : Double Flange Nut•TSF TYPE : Single Flange Nut•TFP TYPE : Single Flange Nut (Preload Type)

Nut No.Lead

DynamicLoad

Capacity

StaticLoad

Capacity

NutOutside

Dia.

FlangeDia.

Basic LoadCapacity Nut DimensionsNo. of

TracksTurn×Circuit

Ball Dia. B ,C ,DShaftOutside Dia.

126


127


Standard Product Ball Screw (Axis Column in theorugh)

Standadr Product

126


127


P.C.D VariationShaft Dimensions Cumulative

RepresentativeLead Error

FlangePerpendic

ularity

OILHOLE

Deviation of theShaft Axis

NutConcentri

city

Fixing Bolt HoleDimensions

Unit : mm

Standadr Product

1) Lead degree is C5 level.

2) As it is covered with rust preventive oil, the supply of oil and grease are needed in use.

3) Nut Specification•TFN TYPE : Double Flange Nut•TSF TYPE : Single Flange Nut•TFP TYPE : Single Flange Nut (Preload Type)

Nut No.Lead

DynamicLoad

Capacity

StaticLoad

Capacity

NutOutside

Dia.

FlangeDia.

Basic LoadCapacity Nut DimensionsNo. of

TracksTurn×Circuit

Ball Dia. B ,C ,DShaftOutside Dia.

128


129


Standadr Product

Standard Product Ball Screw (Axis Column in theorugh)

128


129


P.C.D VariationShaft Dimensions Cumulative

RepresentativeLead Error

FlangePerpendic

ularity

OILHOLE

Deviation of theShaft Axis

NutConcentri

city

Fixing Bolt HoleDimensions

Unit : mm

Standadr Product

Appendix1. Permission Value of Axis ValueClassification ofDiameter

Over

Tolerance Class of Axis

Below

Difference Value of Average inside Diameter within a Plane Surface

132

Reference Data

133

Reference Data

Reference D

ata

132

Reference Data

133

Reference Data

Classification ofDiameter

Over

AxisNumber(0 Level)

Below

Unit : μm( Reference)

Reference D

ata

Appendix 2. Permission Value of Housing Hole SizeClassification ofDiameter

Over

Tolerance Class in the Hole

Below

Difference Value of Average inside Diameter within a Plane Surface

134

Reference Data

135

Reference Data

Reference D

ata

134

Reference Data

135

Reference Data


Over

AxisNumber(0 Level)

Below

Unit : μm( Reference)

(150 below)

(150 over)

Reference D

ata

Appendix 3. Value of Basic Tolerance


Over

Tolerance Class (IT)

Classification of Basic Value Classification of Basic ValueBelow

Note 1) IT14~IT18 tolerance class don’t apply below 1㎜basic value.

136

Reference Data Reference Data

Reference D

ata

136

Reference Data Reference Data

Appendix 3. Hardness Conversion Table

RockwellVickers

Brinell

Standard BallTungsten

Carbide Ball

Rockwell

A Scale B ScaleShoreC Scale

1417N {150 kgf}

Reference D

ata

tongil ballscrew catalog (english)

Documents

rigidity of ball screws

best ball screw

noise problems

cagedlow noise

noise machines

noise comparison

use of ball cage

production of low