vibration isolation design and analysis xpert

Vibration Isolation Design and Analysis Expert

Email: jjangwu@nkust.edu.tw

Users’ Manual

MDOF Module

A solution for you to design a successful vibration isolation system

1. Components of VidaE MDOF Module (1/8)

Verification using SDOF Random Analysis Program

Verification using SDOF Shock Analysis Program

Verification using MDOF Free Vibration Analysis Program

Mount Selection using SDOF Fundamental Program

Verification using SDOF Harmonic Analysis Program

Construction of 3D Model of Equipment

Verification using MDOF Pitching/Rolling Analysis Program

Verification using MDOF Shock Analysis Program

Exchange of Mount Parameters between SDOF and MDOF Modules

Verification using MDOF Random Analysis Program

Verification using MDOF Harmonic Analysis Program

Pitching/Rolling Analysis Program

Shock Analysis Program

Free Vibration Analysis Program

3D Model Construction Program

Harmonic Analysis Program

Random Vibration Analysis Program

Virtual Box

Cylinder

STL 3D Model

EBS (Equivalent Boundary Spring)

EAM (Equivalent Attached Mass)

Resilient Mount

Campbell Diagram

Mode Shape Animation and AVI Animation

Full Report Generator

Mount Deformation Analysis using Conventional Method

Arbitrary Point Movement Analysis using DOD-STD-1399 301A

Natural Frequency Calculation

Mode Shape Matrix & Mode Coupling Indicator

Arbitrary Point Movement Analysis using Conventional Method

Mount Deformation Analysis using DOD-STD-1399 301A

Harmonic excitation of ground is represented as a series of acceleration/displacement wave

Animation of equipment due to shock of mass/ground

Deformation and Movement Analysis due to Harmonicexcitation of mass/ground

Animation of equipment due to Harmonic excitation of mass/ground

Mass acceleration and displacement responses in time domain

Shock of mass/ground is represented as a single or doublehalf-sine acceleration wave

Mass acceleration and displacement responses in time domain

Harmonic excitation of mass is represented as a series of force wave

Deformation and Movement Analysis due to Shock of Ground

Deformation and Movement Analysis due to Shock of Mass

To be available soon

• The following components are available for constructing the 3D model of equipment:• Virtual Box : It is used to represent the simplified figure of the equipment.

Length, width, height, rotational angles, COG coordinates, mass and mass moment of inertia can be assigned according to the corresponding physical properties of the equipment.

• Cube/Cylinder/STL 3D Model : If the Virtual Box cannot represent the figure of theequipment properly, Cube, Cylinder and STL 3D Model can be used for better representation of the equipment. Note that the Cube, Cylinder and STL 3D Model are massless. It is only used for representation of figure of the equipment. Overall physical properties (e.g., mass, mass moment of inertia, COG coordinates, …etc.) of Cube, Cylinder and STL 3D Model are assigned in the relevant parameters of Virtual Box.It is recommended that the user creates the 3D model in CAD software and then save itas a STL file. In such a case, VidaE will be able to import the above-mentioned STL modelinto the software for better representation of real equipment.

• EBS (Equivalent Boundary Spring) : It is used to represent the spring effects of external connecting elements (e.g., pipe, shaft, support, …etc.) of equipment.

• EAM (Equivalent Attached Mass) : It is used to represent the extra mass and mass moment of inertia attached to the equipment. Summation of mass and mass moment of inertia of Virtual Box and EAMs give the overall properties of entire equipment.

• Resilient Mount : Position and rotational angles can be assigned arbitrarily.

• Calculation of natural frequencies, mode shapes and mode coupling indicator.• Campbell diagram of the equipment, Vibration order, equipment operating speed and

resonance range, …etc. can be setup as necessary. • Generation of full reports consist of all input parameters for equipment, all physical

parameters of resilient mounts, natural frequencies, mode shape matrix and mode coupling indicator matrix.

• Display the animation of mode shape corresponding to each natural frequency of the equipment. The mode shape animation can be observed from any view angle.

• Generation of AVI animation file for arbitrary mode shape.

• Mount Deformation Analysis and Movement Analysis for arbitrary point of equipment due to Pitching/Rolling motion of the ship by Conventional Method.

• Mount Deformation Analysis and Movement Analysis for arbitrary point of equipment due to Pitching/Rolling motion of the ship using DOD-STD-1399-301A.

• Generation of full reports consist of all input parameters for equipment, all physical parameters of resilient mounts, all input parameters for pitching/rolling motion of the ship, deformations and reaction forces of resilient mounts, displacements for arbitrary points of equipment, …etc.

• Harmonic excitation of ground is represented as a series of sin/cos/rectangle/triangle/

half-sine acceleration/displacement wave.

• Harmonic excitation of mass is represented as a series of sin/cos/rectangle/triangle/

half-sine/Imbalance force wave.

• Direction of harmonic excitation can be easily assigned using the GUI of the software.

• Calculation of mass acceleration and displacement responses in time domain induced by

harmonic excitation of mass/ground.

• Calculation of mount deformation responses in time domain induced by harmonic excitation

of mass/ground.

• Deformation Analysis of resilient mount due to harmonic excitation of mass/ground.

• Movement Analysis for arbitrary point of equipment due to harmonic excitation of

mass/ground.

• Generation of full reports consist of all input parameters for equipment, all physical

parameters of resilient mounts, all input parameters for harmonic excitation of mass/ground,

maximum and minimum deformation and reaction force of resilient mount, maximum and

minimum displacement for arbitrary point of equipment, …etc.

• Display the animation of equipment due to harmonic excitation of mass/ground. The

animation can be observed from any view angle.

• Generation of AVI animation file for equipment due to harmonic excitation of mass/ground.

• Shock of ground is represented as a single or double half-sine acceleration wave.

• Shock of mass is represented as a single or double half-sine force wave.

• Direction of shock wave can be easily assigned using the GUI of the software.

• Calculation of mass acceleration and displacement responses in time domain induced by

shock of mass/ground.

• Calculation of mount deformation responses in time domain induced by shock of

mass/ground.

• Deformation Analysis of resilient mount due to shock of mass/ground.

• Movement Analysis for arbitrary point of equipment due to shock of mass/ground.

• Generation of full reports consist of all input parameters for equipment, all physical

parameters of resilient mounts, all input parameters for shock of mass/ground, maximum

and minimum deformation and reaction force of resilient mount, maximum and

minimum displacement for arbitrary point of equipment, …etc.

• Display the animation of equipment due to shock of mass/ground. The animation can be

observed from any view angle.

• Generation of AVI animation file for equipment due to shock of mass/ground.

• This program is absent so far.• This program will be available soon.

2. 3D Model Construction Program (1/16)2.1 Coordinate System

Right-handed coordinate system

• Right-handed coordinate system is used in VidaE.• There are three sorts of important coordinate systems

in VidaE : (1) Fixed global coordinate system go through original point (0, 0, 0).(2) Global coordinate system go through COG of entireequipment.(3) Local coordinate system of EBS, EAM and Resilient Mount.

Fixed global coordinate system go through original point (0, 0, 0).

Global coordinate system go through COG of entire equipment.

Local coordinate system of EBS Local coordinate system of EAM

Local coordinate system of Resilient Mount

2. 3D Model Construction Program (2/16)2.2 Mouse Picking

• The following elements can be picked with (Ctrl Key)+(Mouse Click)(1) Cube/ Cylinder/ STL Model.(2) EBS (Equivalent Boundary Spring).(3) EAM (Equivalent Attached Mass).(4) Resilient Mount.

• (Ctrl Key)+(Mouse Click with Left Button): All above elements can be picked, therefore, if multiple objects are coincident each other, the one closest to the user will be picked.

• (Ctrl Key)+(Mouse Click with Middle Button): All above elements can be picked except Cube and STL Model. In such a case, the Cube element and STL Model will never be picked.

• (Ctrl Key)+(Mouse Click with Right Button): All above elements can be picked except Cube, Cylinder and STL Model. In such a case, the Cube element, Cylinder element and STL Model will never be picked.

Ctrl Key)+(Mouse Click with Left Button): The object closest to the user is picked.Thus, the Cube is selected.

(Ctrl Key)+(Mouse Click with Middle Button): The Cube element and STL Model will never be picked. Thus, the cylinder or EAM is selected.

(Ctrl Key)+(Mouse Click with Right Button): The Cube element, Cylinder element and STL Model will never be picked. Thus, the Resilient Mount is selected.

2. 3D Model Construction Program (3/16)2.3 Mouse Manipulations

(Hold Mouse Right Button)+(Move Mouse) to change the view angle of the equipment 3D model

(Rolling Mouse Wheel) to Zoom In/Zoom Out the equipment 3D model

Note that the users may (Hold Mouse Left Button)+(Move Mouse) to change the view field of the equipment 3D model.

2. 3D Model Construction Program (4/16)2.4 Graphical User Interface

Display Parameters Window : The parameters in Display ParametersWindow can be used to adjust the viewing parameters for 3D model of the equipment.

Filename for current3D model of the equipment.

Demonstration of a 3D model of equipment.

Copy Image of current 3D model to Clipboard.

Open an existing file

Save file

3D Model of equipment

Program Panel to input the parameters of equipment and perform the analysis of equipment due to various excitations.

2. 3D Model Construction Program (5/16)2.5 What is Virtual Box

• The Virtual Box is used to represent the simplified figure of the equipment. The size of VirtualBox should be able to include all the components of equipment except resilient mounts.

• All the parameters of Virtual Box should be assigned at the beginning of a new project.

The size of Virtual Box should be able to include all the components of equipment except the resilient mount.

Resilient mount do not need to be included in the Virtual Box

Note that the STL 3D model will be automatically scaled according to the size of the Virtual Box when the user import the STL 3D model to VidaE.

2. 3D Model Construction Program (6/16)2.6 Parameters of Virtual Box

COG X: Center of Gravity for global X coordinate of Virtual Box.COG Y: Center of Gravity for global Y coordinate of Virtual Box.COG Z: Center of Gravity for global Z coordinate of Virtual Box.θx: Rotational angle of Virtual Box about global X axis .θy: Rotational angle of Virtual Box about global Y axis .θz: Rotational angle of Virtual Box about global Z axis .Lx, Ly and Lz: Length, width and Height of Virtual Box.dx, dy and dz: Distances between Center of Gravity and front, back and top surface of Virtual Box.Mass: Total Mass of Equipment (excluding resilient mount).Ixx: Mass moment of inertia of Equipment about its local x axis.Iyy: Mass moment of inertia of Equipment about its local y axis.Itt: Mass moment of inertia of Equipment about its local z axis.

2. 3D Model Construction Program (7/16)2.7 Geometry/Cube

Reference point of Geometry/Cube locates at its left surface

Length: Length of Geometry/Cube in its local x axis.Width: Width of Geometry/Cube in its local y axis.Height: Height of Geometry/Cube in its local z axis.Ref X: Global X coordinate of reference point.Ref Y: Global Y coordinate of reference point.Ref Z: Global Z coordinate of reference point.θx: Rotational angle of Geometry/Cube about global X axis.θy: Rotational angle of Geometry/Cube about global Y axis.θz: Rotational angle of Geometry/Cube about global Z axis.Remark: There is no Mass and Mass Moment of Inertia forGeometry/Cube. The above effects are included in those ofVirtual Box.

Height

WidthLength

2. 3D Model Construction Program (8/16)2.8 Geometry/Cylinder

Reference point of Geometry/Cylinderlocates at its left end surface

Diameter

Length

Length: Length of Geometry/Cylinder in its local x axis.Diameter: Diameter of Geometry/Cylinder.Ref X: Global X coordinate of reference point.Ref Y: Global Y coordinate of reference point.Ref Z: Global Z coordinate of reference point.θx: Rotational angle of Geometry/Cylinder about global X axis.θy: Rotational angle of Geometry/Cylinder about global Y axis.θz: Rotational angle of Geometry/Cylinder about global Z axis.Remark: There is no Mass and Mass Moment of Inertia forGeometry/Cylinder. The above effects are included in those ofVirtual Box.

2. 3D Model Construction Program (9/16)2.9 Geometry/Import STL Model

All the parameters of Virtual Box should be properly assigned at the beginning of a new project.In such a case, the imported STL 3D model will be automatically scaled according to the above Virtual Box. Now, the imported STL 3D model can be used to replace the Virtual Box.

2. 3D Model Construction Program (10/16)2.9 Geometry/Import STL Model

Reference point of Geometry/STL locates at the GeometryCenter of the 3D Model.Ref X: Global X coordinate of reference point.Ref Y: Global Y coordinate of reference point.Ref Z: Global Z coordinate of reference point.θx: Rotational angle of Geometry/STL about global X axis.θy: Rotational angle of Geometry/ STL about global Y axis.θz: Rotational angle of Geometry/ STL about global Z axis.Scale: Scaling ratio of the STL 3D Model.Remark: There is no Mass and Mass Moment of Inertia forSTL 3D Model. The above effects are included in those ofVirtual Box.

Virtual Box

STL 3D Model

Reference point of STL 3D Model locates at its Geometry Center

2. 3D Model Construction Program (11/16)2.10 EBS (Equivalent Boundary Spring)

Pipeline A

Pipeline B

Equipment BEquipment A

Resilient Mount

Equipment B

Equivalent Stiffness of Pipeline A

Equivalent Stiffness

of Pipeline BEquivalent Stiffness

of Shaft

Equivalent Model of Equipment B

• The equipment is usually connected with external pipelines, shafting mechanism, supports (excluding resilient mount), … etc.

• The stiffness of pipelines, shafts or supports may significantly influence the dynamic behavior of equipment. Thus, the above-mentioned effects must be considered in the dynamic analysis of equipment.

• In VidaE, the Equivalent Boundary Spring (EBS) is used for representing the stiffness effects of pipelines, shafts or supports, …etc.

EBS (Equivalent Boundary Spring) in VidaE

2. 3D Model Construction Program (12/16)2.10 EBS (Equivalent Boundary Spring)

X, Y and Z: Global X, Y and Z coordinates for attached point of EBS.θn, θy and θz: Rotational angle of EBS about its normal axis and global Y and Z axes.Diameter: Display parameter for Diameter of EBS in VidaE.Kxd: Dynamic stiffness of EBS in its local x axis direction.Dxd: Damping ratio of EBS in its local x axis direction.Kyd: Dynamic stiffness of EBS in its local y axis direction.Dyd: Damping ratio of EBS in its local y axis direction.Kzd: Dynamic stiffness of EBS in its local z axis direction.Dzd: Damping ratio of EBS in its local z axis direction.Kxs: Static stiffness of EBS in its local x axis direction.Kys: Static stiffness of EBS in its local y axis direction.Kzs: Static stiffness of EBS in its local z axis direction.

Local coordinate system of EBS

Normal Axis

2. 3D Model Construction Program (13/16)2.11 EAM (Equivalent Attached Mass)

• The designer may need to understand the influence of attached element mass on the dynamic characteristics of entire system.

• For the example of an equipment with a water tank, the total mass of equipment usually represents the equipment with EMPTY water tank. However, the mass of water may influence the dynamic behavior of entire system to some degree. In such a case, mass of water should be considered in the analysis.

• In VidaE, the Equivalent Attached Mass (EAM) is used for representing the mass effects of attached elements.

• For the above-mentioned example, the user may add an EAM to the model to represent the mass of water, so that the dynamic behavior of equipment with FULL water tank can be easily determined.

An equipment with Empty Water Tank

An equipment with FULL Water Tank

EMPTY Water Tank

FULL Water Tank

The mass of Water may have significantly influence on the dynamic

characteristics of entire system.

2. 3D Model Construction Program (14/16)2.11 EAM (Equipment Attached Mass)

Local coordinate system of EAM

Ref X: Global X coordinate for COG of EAM.Ref Y: Global Y coordinate for COG of EAM.Ref Z: Global Z coordinate for COG of EAM.θx: Rotational angle of EAM about global X axis.θy: Rotational angle of EAM about global Y axis.θz: Rotational angle of EAM about global Z axis.Diameter: Display parameter for Diameter of EAM in VidaE.Mass: Mass of EAMIxx: Mass moment of Inertia of EAM about its local x axis.Iyy: Mass moment of Inertia of EAM about its local y axis.Izz: Mass moment of Inertia of EAM about its local z axis.

2. 3D Model Construction Program (15/16)2.12 Resilient Mount

X: Global X coordinate for attached point of Resilient Mount.Y: Global Y coordinate for attached point of Resilient Mount.Z: Global Z coordinate for attached point of Resilient Mount.θn: Rotational angle of Resilient Mount about its normal axis.θy: Rotational angle of Resilient Mount about global Y axis.θz: Rotational angle of Resilient Mount about global Z axis.Diameter: Display parameter for Diameter of Resilient Mount in VidaE.Kxd: Dynamic stiffness of Resilient Mount in its local x axis direction.Dxd: Damping ratio of Resilient Mount in its local x axis direction.Kyd: Dynamic stiffness of Resilient Mount in its local y axis direction.Dyd: Damping ratio of Resilient Mount in its local y axis direction.Kzd: Dynamic stiffness of Resilient Mount in its local z axis direction.Dzd: Damping ratio of Resilient Mount in its local z axis direction.

Local coordinate systemof Resilient Mount

Normal Axis

2. 3D Model Construction Program (16/16)2.12 Resilient Mount

kxs: Static stiffness of Resilient Mount in its local x axis direction.kys: Static stiffness of Resilient Mount in its local y axis direction.kzs: Static stiffness of Resilient Mount in its local z axis direction.dFx: Limitation of reaction force for Resilient Mount about its local x axis.dFy: Limitation of reaction force for Resilient Mount about its local y axis.dFz: Limitation of reaction force for Resilient Mount about its local z axis.dx, dy, dz: Not used in current version of VidaE.Material: Material of Resilient Mount.Connection Type: Connection Type of Resilient Mount.Supplier: Supplier of Resilient Mount.Web: Web address for supplier of Resilient Mount.Remark: Remark of Resilient Mount. Rotation of Resilient Mount

3. Free Vibration Analysis Program (1/7)

Normalized vibration amplitudes in X, Y and Z directions

Normalized vibrationamplitudes in θx, θy and θz directions

NaturalFrequenciesof theentiresystem

Ratios for kinetic energy in X, Y and Z directions

Ratios for kinetic energy in θx, θy and θz directions

Calculation of Mode Coupling Indicator Matrix withcoupling terms of mass moment of inertia consideredor ignored

Generation ofAnimation file for a

particular mode shape

Scaling factor for vibration amplitude of mode shape

Next Step for Animation of Mode Shape

Pause/Continue Animation of Mode Shape

Stop Animation of Mode Shape

Previous Step for Animation of Mode Shape

Play Animation of Mode Shape

Animation Status indicator

Report generator

Plot Campbell Diagram

Perform Free Vibration Calculation

Calculate the natural frequencies, mode shapes and mode coupling indicators of the entire equipment based on the parameters of Virtual Box, EBS, EAM and Resilient Mounts.

Plot the Campbell Diagram of the equipment according to its natural frequencies. The title, axis tick interval, equipment operation speed, maximum simulation speed, resonance range and vibration order can be easily customized.

Generation of full reports consist of all input parameters for Virtual Box, EBS, EAM and Resilient mounts, and natural frequencies, mode shapes and mode coupling indicators of the entire equipment.

Play the animation of a particular mode shape according to the mode shape matrix.

Select the nth row of mode shape matrix to show the animation of nth mode shape of equipment.

Pause the animation of mode shape and move to the Previous step of mode shape.

Pause the animation of mode shape and move to the Next step of mode shape.

Pause or Continue the animation of mode shape.

Stop the animation of mode shape.

Scaling ratio for adjusting the vibration amplitudes for animation of mode shape.

Generation of an animation file for the mode shape corresponding to the selected row in mode shape matrix.

When Animation Status indicator is running, the user will be unable to perform any calculation task. Click to stop the running of animation status indicator.

• The size of Virtual Box should be able to include all the components of equipment exceptresilient mounts.

• After the user has constructed the 3D model of equipment or imported the STL 3D modelof equipment, the user may switch off the Render Surface and Draw Wireframe in Body Tabpage to hide the Virtual Box, so that the 3D model may be used to represent the figureof the equipment accurately.

Virtual Box

The user may switch off the Render Surface and

Draw Wireframe to hide the Virtual Box, so that

the 3D model may be used to represent the figure

of the equipment accurately.

1st Mode Shape 2nd Mode Shape 3rd Mode Shape

4th Mode Shape 5th Mode Shape 6th Mode Shape

If a Virtual Box is used to represent the figure of equipment, the mode shapes of an equipment are listed in the following .

1st Mode Shape 2nd Mode Shape 3rd Mode Shape

4th Mode Shape 5th Mode Shape 6th Mode Shape

If a 3D model is used to represent the equipment, the mode shapes of a equipment are listed in the following.

4. Pitching/Rolling Analysis Program (1/11)

• For the equipment installed on a foundation with pitching, rolling, heaving or surging

motions (e.g., ship, aircraft, …, etc.), the inertia forces of equipment will influence the

reliability of resilient mount significantly.

• In VidaE, the inertia forces of equipment induced by pitching, rolling, heaving or

surging motions are determined using two methods: (1) Conventional Method, and

(2) DOD-STD-1399 Sec 301A.

• For the details of Conventional Method, the user may refer to the following reference:

Cashman, R. M., Design of marine machinery foundations, Trans. SNAME, Vol. 70,

pp. 723-748, 1962.

• For the details of DOD-STD-1399 Sec 301A, the user may refer to the following reference:

DOD-STD-1399(NAVY) SECTION 301A, Interface Standard for Shipboard Systems, SECTION

301A, Ship Motion and Attitudes, 1986.

• Based on the theory of Conventional Method or DOD-STD-1399 Sec 301A, VidaE will

perform the Mount Deformation Analysis to calculate the mount deformation and reaction

force due to inertia forces of equipment. In addition, Movement Analysis will also be

performed to calculate the movements for arbitrary point of equipment. Full reports consist

of the following information will be automatically generated: Input parameters for

Equipment, EBS, EAM and Resilient Mounts, deformation and reaction force of resilient

mount, and displacement for arbitrary point of equipment, …etc.

Mount Deformation Analysis and Arbitrary Point Movement Analysis with Conventional Method

Mount Deformation Analysis and Arbitrary Point Movement Analysis with DOD-STD-1399 Sec 301A

Mount Deformation Analysis Reportusing DOD-STD-1399 Sec 301A

Mount Deformation Analysis Reportusing Conventional Method

Arbitrary Point Movement AnalysisReport using Conventional Method

Arbitrary Point Movement AnalysisReport using DOD-STD-1399 Sec 301A

Input Parameters for Pitchingand Rolling Analysis Program

Points for Movement Analysis of equipment

Toolbar for creatingPoints for MovementAnalysis of equipment

)(−xP)(−zP

)(−zR

• For the case of Pitching/Rolling Analysis of equipment using Conventional Method, the

input parameters are described in the following.

Remark: The following definitions are used in VidaE.

(1) Pitching Motion represents the Rotational Motion about an axis parallel to global Y axis. (2) Rolling Motion represents

the Rotational Motion about global X axis. (3) Heaving Motion represents the Translational Motion parallel to Global Z axis.

(4) Surging Motion represents the Translational Motion parallel to Global X axis.

Pitching motion of a Ship

Rolling motion of a Ship Amplitude for rolling angle of a ship

Trim angle of a ship

Heaving acceleration of a ship

Surging acceleration of a ship

Period for rolling motion of a ship

Y Position of the equipment with

respect to COR (Center Of Rolling)

Z Position of the equipment with

respect to COR (Center Of Rolling)

Amplitude for pitching angle of a ship

Period for pitching motion of a ship

Z Position of the equipment with

respect to COP (Center Of Pitching)

X Position of the equipment with

respect to COP (Center Of Pitching)

Z LXTY

• For the case of Pitching/Rolling Analysis of equipment using DOD-STD-1399 Sec 301A, the

input parameters are described in the following.

Remark: The following definitions are used in VidaE.

(1) Pitching Motion represents the Rotational Motion about an axis parallel to global Y axis. (2) Rolling Motion represents

the Rotational Motion about global X axis. (3) Heaving Motion represents the Translational Motion parallel to Global Z axis.

(4) Surging Motion represents the Translational Motion parallel to Global X axis.

Amplitude for pitching angle of a ship

Period for pitching motion of a ship

Amplitude for rolling angle of a ship

Period for rolling motion of a ship

Heaving acceleration of a ship

Surging acceleration of a ship

Distances between equipment and

COG of a ship in X direction

COG of a ship in Y direction

COG of a ship in Z direction

Select the 8 end points of theVirtual Box as the points for Movement Analysis

Select the attached points (with equipment) of EBS as the points for Movement Analysis

Select the attached points (with equipment) of Resilient Mounts as the points for Movement Analysis

Clear all points for Movement AnalysisAdd a point for Movement Analysis

Remove a point for Movement Analysis

Move Up a point for Movement Analysis

Move Down a point for Movement Analysis

Enable or disable the point for Movement Analysis

Points for Movement Analysisof equipment

For the case of that the Conventional Method is used for Pitching/Rolling Analysis of equipment,

the Report of Mount Deformation Analysis Results will be automatically generated as follows.

(Generate the Report of Mount Deformation Analysis Results using Conventional Method)

For the case of that the Conventional Method is used for Pitching/Rolling Analysis of equipment, the

Report of Arbitrary Point Movement Analysis Results will be automatically generated as follows.

(Generate the Report of Arbitrary Point Movement Analysis Results using Conventional Method )

For the case of that DOD-STD-1399 Sec 301A is used for Pitching/Rolling Analysis of equipment ,

the Report of Mount Deformation Analysis Results will be automatically generated as follows.

(Generate the Report of Mount Deformation Analysis Results using DOD-STD-1399 Sec 301A )

For the case of that DOD-STD-1399 Sec 301A is used for Pitching/Rolling Analysis of equipment ,

the Report of Arbitrary Point Movement Analysis Results will be automatically generated as follows.

(Generate the Report of Arbitrary Point Movement Analysis Results using DOD-STD-1399 Sec 301A )

For the Pitching/Rolling Analysis using Conventional Method, Input Parameters A and Points

List B, the user may Click C to obtain the Report of Mount Deformation Analysis Results and

Click D to obtain the Report of Movement Analysis Results for Points List B.

Input Parameters A

Points List B

Remark:

The angles and periods for pitching and rolling motions of a ship are clearly described in the following reference.

DOD-STD-1399(NAVY) SECTION 301A, Interface Standard for Shipboard Systems, SECTION 301A, Ship Motion and Attitudes,

For the Pitching/Rolling Analysis using DOD-STD-1399 Sec 301A, Input Parameters E and

Points List F, the user may Click G to obtain the Report of Mount Deformation Analysis

Results and Click H to obtain the Report of Movement Analysis Results for Points List F.

Input Parameters E

Points List F

Remark:

The angles and periods for pitching and rolling motions of a ship are clearly described in the following reference.

DOD-STD-1399(NAVY) SECTION 301A, Interface Standard for Shipboard Systems, SECTION 301A, Ship Motion and Attitudes,

5. Harmonic Analysis Program (1/22)

• For the equipment installed on a ground with Harmonic Displacement Excitations or Harmonic Acceleration Excitations, VidaE Harmonic Analysis Program may easily performthe Mount Deformation Analysis, Arbitrary Point Movement Analysis and calculations of acceleration/displacement responses in time domain. In addition, the animation for theresponses of equipment can also be easily generated.

• The Harmonic Displacement Excitations can be represented as a series of sin/cos/rectangle/triangle/half-sine function.

• The Harmonic Acceleration Excitations can be represented as a series of sin function.• For the equipment installed on a fixed ground and subjected to External Harmonic Loadings,

VidaE Harmonic Analysis Program may easily perform the Mount Deformation Analysis, Arbitrary Point Movement Analysis and calculations of acceleration/displacement responses in time domain. Besides, the animation for the responses of equipment can also be easilygenerated.

• The External Harmonic Loadings can be represented as a series of sin/cos/rectangle/triangle/Imbalance function.

• The Directions of Harmonic Displacement Excitations, Harmonic Acceleration Excitationsand External Harmonic Loadings can be easily assigned using the GUI of the software.

• Animation of equipment due to Harmonic Displacement Excitations, Harmonic Acceleration Excitations and External Harmonic Loadings can be shown on the main window of the software. In which, the animation can be observed from any view angle. Besides, the animationcan also be saved as an animation file, so that the user may play the last animation file in any other media.

Analysis of equipment with its main body subjected to External Harmonic Loadings

Analysis of the equipment with the ground subjected to Harmonic Acceleration Excitations

Analysis of the equipment with the ground subjected to Harmonic Displacement Excitations

Arbitrary Point Movement Analysis of Equipment

(1) Mount Deformation Analysis. (2) Calculations of acceleration/displacement responses in time domain.(3) Generation of animation for the responses of equipment.

5. Harmonic Analysis Program (3/22)Case A0: Equipment main body subjected to external Harmonic Loadings

Multiple sets of External Harmonic Loadings can be selected at a time.

Multiple External Harmonic Loadings can be applied on the main body of equipment simultaneously.

5. Harmonic Analysis Program (4/22)Case A1: Equipment main body subjected to an external Harmonic Loading (Sin Function)

Time (ms)

Frequency = 1/Period

Phase Angle

Position and DirectionParameters for externalharmonic loadings

Position and Directionof the external harmonicloadings can be easily adjusted

5. Harmonic Analysis Program (5/22)Case A2: Equipment main body subjected to an external Harmonic Loading (Cos Function)

Position and Direction of the external harmonicloadings can be easily adjusted

Time (ms)

Phase Angle

5. Harmonic Analysis Program (6/22)Case A3: Equipment main body subjected to an external Harmonic Loading (Rectangle Function)

Time (ms)

ts tsFo

5. Harmonic Analysis Program (7/22)Case A4: Equipment main body subjected to an external Harmonic Loading (Triangle Function)

Time (ms)

Ft1 t2

5. Harmonic Analysis Program (8/22)Case A5: Equipment main body subjected to an external Harmonic Loading (Half-Sine Function)

Time (ms)

5. Harmonic Analysis Program (9/22)Case A6: Equipment main body subjected to an external Harmonic Loading (Imbalance Function)

5. Harmonic Analysis Program (10/22)Case B0: Equipment with Ground Displacement Excitations

Only one set of Ground Displacement Excitation can selected at a time.

The arrows represent the direction for Ground Displacement Excitation selected in the Following Table.

Time (ms)

Phase Angle

5. Harmonic Analysis Program (11/22)Case B1: Equipment with Ground Displacement Excitations (Sin Function)

Direction Parametersfor Ground Motion

Direction of GroundMotion can be easily adjusted

Time (ms)

Phase Angle

5. Harmonic Analysis Program (12/22)Case B2: Equipment with Ground Displacement Excitations (Cos Function)

Time (ms)Dis

Tpts ts

5. Harmonic Analysis Program (13/22)Case B3: Equipment with Ground Displacement Excitations (Rectangle Function)

Time (ms)Dis

t1 t2ts ts

5. Harmonic Analysis Program (14/22)Case B4: Equipment with Ground Displacement Excitations (Triangle Function)

Time (ms)Dis

Tpts ts

5. Harmonic Analysis Program (15/22)Case B5: Equipment with Ground Displacement Excitations (Half-Sine Function)

5. Harmonic Analysis Program (16/22)Case C0: Equipment with Ground Acceleration Excitations

Only one set of Ground Acceleration Excitation can selected at a time.

The arrows represent the direction for Ground Acceleration Excitation selected in the Following Table.

Time (ms)Acc

Tpts ts

5. Harmonic Analysis Program (17/22)Case C1: Equipment with Ground Acceleration Excitations (Sin Function)

5. Harmonic Analysis Program (18/22)Play the animation for responses of equipment due to external harmonic loadings or ground excitations.Pause the animation for responses of equipment and move to the Previous step.

Pause the animation for responses of equipment and move to the Next step.

Pause or Continue the animation for responses of equipment.

Stop the animation for responses of equipment .

Generation of an animation file for the responses of equipment .

When Animation Status indicator is running, the user will be unable to perform any calculation task. Click to stop the running of animation status indicator. A parameter for adjusting the animation speed for responses of equipment .

Scaling ratio for adjusting the vibration amplitudes for animation of equipment responses.

Points for MovementAnalysis of equipment

5. Harmonic Analysis Program (20/22)For the case of that the Equipment main body subjected to External Harmonic Loadings usingInput parameters A and Points List B, the user may Click C to obtain the displacement and acceleration responses of the equipment in time domain, Click D to obtain the Report of Mount Deformation Analysis Results , Click E to obtain the Animation Data of equipment , Click F to obtain the movement responses for Points List B in time domain and Click G to obtain the Reportof Movement Analysis Results for Points List B.

Input Parameters A

Points List BC

5. Harmonic Analysis Program (21/22)For the case of that the Equipment with Ground Displacement Excitations using Input parametersA and Points List B, the user may Click C to obtain the displacement and acceleration responses ofthe equipment in time domain, Click D to obtain the Report of Mount Deformation Analysis Results,Click E to obtain the Animation Data of equipment , Click F to obtain the movement responses forPoints List B in time domain and Click G to obtain the Report of Movement Analysis Results forPoints List B.

Input Parameters A

Points List BC

5. Harmonic Analysis Program (22/22)For the case of that the Equipment with Ground Acceleration Excitations using Input parametersA and Points List B, the user may Click C to obtain the displacement and acceleration responses ofthe equipment in time domain, Click D to obtain the Report of Mount Deformation Analysis Results,Click E to obtain the Animation Data of equipment , Click F to obtain the movement responses forPoints List B in time domain and Click G to obtain the Report of Movement Analysis Results forPoints List B.

Input Parameters A

Points List BC

6. Shock Analysis Program (1/8)

• For the equipment installed on a fixed ground and subjected to a Shock Force applied on its

main body, VidaE Shock Analysis Program may easily perform the Mount Deformation

Analysis, Arbitrary Point Movement Analysis and calculations of acceleration/displacement

responses in time domain. In addition, the animation for the responses of equipment can also

be easily generated.

• The Shock Force can be represented as a single or double half-sine forcing function.

• For the equipment installed on a ground with a Shock Acceleration Excitation, VidaE Shock

Analysis Program may easily perform the Mount Deformation Analysis, Arbitrary Point

Movement Analysis and calculations of acceleration/displacement responses in time domain.

Besides, the animation for the responses of equipment can also be easily generated.

• The Shock Acceleration Excitation can be represented as a single or double half-sine

acceleration function.

• The Directions of Shock Force and Shock Acceleration Excitation can be easily assigned using

the GUI of the software.

• Animation of equipment due to Shock Force and Shock Acceleration Excitation can be shown

on the main window of the software. In which, the animation can be observed from any view

angle. Besides, the animation can also be saved as an animation file, so that the user may play

the last animation file in any other media.

Analysis of equipment with its mainbody subjected to a Shock Force

Analysis of the equipment withthe ground subjected to a Shock Acceleration Excitation

Arbitrary Point Movement Analysis of Equipment

(1) Mount Deformation Analysis. (2) Calculations of acceleration/displacement responses in time domain.(3) Generation of animation for the responses of equipment.

Only one Shock Force or one Shock Acceleration Excitation can be selected at a time.

Equipment with its main bodysubjected to a Shock Force

Equipment with the ground subjectedto a Shock Acceleration Excitation

6. Shock Analysis Program (3/8)Case 1: Equipment with its main body subjected to a Shock Force

Direction Parametersfor Shock Force

Position and Directionof the Shock Force canbe easily adjusted

Double Half-Sine Forcing Function Single Half-Sine Forcing Function

6. Shock Analysis Program (4/8)Case 2: Equipment with the ground subjected to a Shock Acceleration Excitation

Direction of theShock Accelerationcan be easilyadjusted

Double Half-Sine Acceleration Function Single Half-Sine Acceleration Function

Direction Parametersfor Shock Acceleration

6. Shock Analysis Program (5/8)Play the animation for responses of equipment due to Shock Force or Ground Shock Acceleration.

Pause the animation for responses of equipment and move to Previous step.

Pause the animation for responses of equipment and move to Next step.

Pause or Continue the animation for responses of equipment.

Stop the animation for responses of equipment .

Generation of an animation file for responses of equipment .

When Animation Status indicator is running, the user will be unable to perform any calculation task. Click to stop the running of animation status indicator.

A parameter for adjusting the animation speed for responses of equipment .

Scaling ratio for adjusting the vibration amplitudes for animation of equipment responses.

Points for MovementAnalysis of equipment

For the case of that the Equipment main body subjected to a Shock Force using Input parameters

A and Points List B, the user may Click C to obtain the displacement and acceleration responses

of the equipment in time domain, Click D to obtain the Report of Mount Deformation Analysis

Results , Click E to obtain the Animation Data of equipment , Click F to obtain the movement

responses for Points List B in time domain and Click G to obtain the Report of Movement Analysis

Results for Points List B.

Input Parameters A Points List B

For the case of that the Equipment main body subjected to a Shock Acceleration Excitation using

Input parameters A and Points List B, the user may Click C to obtain the displacement and

acceleration responses of the equipment in time domain, Click D to obtain the Report of Mount

Deformation Analysis Results , Click E to obtain the Animation Data of equipment , Click F to obtain

the movement responses for Points List B in time domain and Click G to obtain the Report of

Movement Analysis Results for Points List B.

Input Parameters A Points List B

Vibration Isolation Design and Analysis Expert

Email: jjangwu@nkust.edu.tw

A solution for you to design a successful vibration isolation system

vibration isolation design and analysis xpert

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