1976003058 · 1 1 i ' i i @ hyoraulic research v_rt report no. hr 73900022 and i_ianupai_ti,...
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t _HYDRAULIC RESEARCH/
August 22, 1975
N:'t:onal Ae, _utics & Space Administration
Geerge C. i_arshall Space Flight Center
Hu_u, ville, Alabama 35812
FINAL SUMMARY REPORT
D SSME-HAS
DYNAMIC LOAD SIMULATORS
(NASA-CR-1_3984) SSME-HAS DYNAMIC LOAD N76-10146SISULATORS Final Summary Report (Hydraulic
Research and Mfg. Co.) 22 p HC $3.25CSCL 14B Unclas
G3/09 39428
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-- _ HYDRAULICRESEARCHandMANUFACTURINGCOMPANY
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1976003058
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_ HYDRAULIC RESEARCH , .e_oRr_o. HR73900022_ ,,,nd MANUFAGTURINO COMPANY textro-'_'n '
25200 WESTRYECANYON ROAD * VALENCIA,CALIFORNIA9t3_5 C0HPAI. HRaM JOB NO,J
7, _ PHONE(10S) 259-4030 * TWX 910-336-1438 * TELEX65-1492 '" _ ,,.( O'
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CODE IDENT 81873 CONTRACT NAS 8-30893
i NO.PAGES 19_ DATE_ 8-19-7_
I I i j,
REV.m
_: FI'NAL SUMMARY REPORT
SSME-HAS
DYNAMIC LOAD SIMULATORS
|
MPVA Load Fixture - Part No. T34000280-1-61
PVALoad Fixture - Part No.. T34000290-1-68
" Prepared for George C. Marshall Space Flight Center
NASA, Marshall Space Flight Center, Ala.
_ CH£CKED
_/ APPROVEDBY DAT[
1976003058-002
(_ HYIDRAULIC RESEARCH J
, REPORT NO. HR 73900022end MANtJI_ACTURINO COMPANY textron |..o .,,s,., CA,,,.ON,,o.o• V,,.NC,*,C,,L,,O.N,,'0,_. _o...--"--_ REV. PA GE NO. i
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I TABLE OF CONTENTS|
: PAGE
1.0 Summary of Accomplishments 1
2.0 Design and Functional Description 2
3.0 Documents and Drawings 2
4.0 Calculations 6
5.0 Statement of Conformance 9
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_ HYDRAULIC RESEARCH ,and MANUFACTURINGCOMPANY textron REPORT NO. HR ?3900022,s,oo.,s, ,,, c,,,,,o.,o.o• v._,,,,,,._-.,o,.,. ,,., _o..... ! R EV. I:)AGE NO. 1
PHON| |110$)259-4030 * IWX 910-]36-14311 • TELEX 65-'492 J I_)A I_T NO.,t
1.0 SUMMARY OF ACCOMPLISHMENTS
Hydraulic Research and Manufacturing Company was awardedcoutract No. NAS 8-30893 on June 3, 1974, to design, develop,
fabricate, test and deliver five load fixture assemblies for
laboratory system testing of the Five Space Shuttle Main Engine(SSME) Propellant Valve Actuators. In addition, HR & M Co.
agreed to deliver a preburner valve actuator (PVA) that wasreferred to in the contract as "an alignment fixture to permit
precise adjustment of the load simulator mechanical interface."
The five dynamic load simulators are designed to simulate theloads reflected into the SSME Hydraulic Actuators by the Chamber
Coolant Valve (CCV), the Fuel Preburner Oxidizer Valve (FPOV),the Oxidizer Preburner Oxidizer Valve (OPOV), the Main Oxidizer
Valve (MOV) and the Main Fuel Valve (MFV). And they are similar
to the actual load fixtures used for acceptance testing of theSSME Hydraulic Actuators.
Late in October, 1974, HR & M Co. completed mechanical
drawings of the Load Simulators and forwarded them to NASA-MSFC for design review and approval. Comments and design
approval were received from NASA-MSFC in the middle of
November, 1974 and the next four weeks saw design and fabri-cation proceeding at a pace consistent with the scheduleddelivery date of March 3, 1975.
However, in the middle of December, 1974, Hydraulic Research& Mfg. Co. suffered a labor dispute and all work was stopped
for the duration of the dispute. Supplemental agreement No. 2,executed March 3, 1975, extended the contract delivery date
to July 3, 1975.
After settlement of the labor dispute, HR & M Co. continuedfabrication of the five load simulators and an electronic load
system that, with inputs of valve differential pressure (LhP(t))
and valve inlet pressure (P(t)), supplied by NASA, wouldaccurately simulate the loads reflected into each SSME Hydraulic
Actuator by its respective valve.
During the period of June 9 through June 13, 1975, Mr. John
Glaznez of NASA witnessed acceptance tests of the five loadsimulators in the Engineer Development Lab at HR & M Co. and
conditionally accep_ J them on June 13, 1975, subject to an
|0 02$ (lev. II174)
1976003058-004
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I(_ HYDRAULIC , | REPORT NO. HR 73900022
RESEARCHand MANUFA_TURINQ COMPANY
._oo,,,,,,, c.H.ON.o*o•V*.N¢,*,¢*L,fO.N,*.,,. CO.., EV. PA GE NO. 2PHONE {|05) 2S9-40'0 " TWX 910-336-14)11 • TELEX6S-1492 I_)ART NO,
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acceptablesystem functionaldemonstrationinthe HydraulicSimulationLaboratoryatMarshallSpace FlightCenter.
The FiveLoad Simulatorsand the ElectronicLoad Systemtogetherwiththe PVA alignmentfixturewere shippedairfreighttoNASA-MSFC on June20, 1975.
2.0 DESIGN AND FUNCTIONAL DESCRIPTION
2.1 General
The design and function of the five load simulators is the sameas that of the SSlVE-I-L'kS Load Fixtures used for acceptancetesting of the SSME Hydraulic Actuators at HR & M Co. Acomplete functional and operational description of the LoadFixtures is presented in the operation manual (HR No. 79700012).
2.2 Mechanical
Each of the load fixtures simulates flow torque by applyinghydraulic pressure through a three-stage servovalve to apush-push piston-crankshaft assembly.
Reference Drawing No. T34000280-1-61 and T34000290-1-68.
2.3 Electronic s
The electroniccontrolcircuitsaredividedintotwo sections.
One, the servoamplifier which multiplies the flow torque command
from the NOVA 1210 computer with the AP(t ) valve from NASA andsums this valve with crankshaft linkage multiplied by feedback _P.
Two, the friction scaling amplifier solves the friction equation
and sums that value with the P(t) and _P(t) values supplied byNASA.
The servoamplifierand frictionscalingamplifiersignalsaresummed togetherto applythe properdrivesignaltothe servovalve.
3.0 DOCUMF, NTS AND DRAWINGS
A complete setofdetaileddrawingshave been submittedincom-,. pliancewiththe Data RequirementsListNo. 433.
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1976003058-005
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@ HYORAULIC RESEARCH V_rt
REPORT NO. HR 73900022and I_IANUPAI_TI, JR|NQ COMDANY textron PAGE NO. 32|200 WIST ITll CANYON tQAO * VAUNCIA CAUfOIINiA 111]qS CIi, I
_mo.,,.,_o • ,,.x.,o-.,_,4.• m,x_s,4. PART NO.iii i i i i l i
LIST OF DRAWINGS
Mechanical
Main PropellantValve Actuator(MPVA) Load Fixture
I 'f34000280-I-61 Load FixtureAssembly (MPVA)I T34000280-1-2 Houslng, Adapterl
T34000280-1-59 Shaft, TorqueT34000280-1-37 F lywhee 1T34000290-1-5 End Cap, HousingT34000290-1-16-2 Cover, PistonT34000290-1-71 Pulley, Transducer (External)T34000280-1.-40 Spacer, SplinedT34000280-1-10 Washer, ThrustT34000290-I-19 Cam, CalibrationT34000290-1-20 Arm, CalibrationT34000290-1-1B Clamp, CableT34000280-1-41 WasherT34000280-1-7 Pulley, Take-offT54000280. ".-Z_ Bracket, MountingT34000280-1-24 Lug, MountingT34000290-1-75 Cover, EncoderT340002 80-1-22 BaseplateT34000290-1-42 Assembly, TubeT34000280-I-38 Screw, Shoulder
• T34000290-I-17 Washer, BellvilleBackupT34000290-I-62 Screw, ShoulderT34000290-I-65 Housing and PistonAssemblyT34000290-I-92 Houslng, PistonT34000290-1-43 Piston
T34000290-I-63 Rod Assembly, PistonT34000260 Valve, HydraulicServoT34000260-2 Housing AssemblyT34000260-3 Spool,SleeveAssemblyT34000260-5 Cap, AdjusterT34000260-7 SpoolT34000260-8 SleeveT34 000260-9 Insert
T34000260-10 Sleeve AssemblyT34000260-11 Adapter PlateT34000280-I-29 CalibrationTool
T34000280-1-30 BodyT34000280-1-31 Spud
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1976003058-006
(_ HYC)RAULIC RESEARCH J REPORT NO. HR 73900022i
•nd MANUFACTURINO COMPANY t0xt"_
2S2_ WIST EYE _AN_ON IOA0 * VA"NQ&, CALIFO|MA 911S$ C41P_ I R EV. I P A GE NO. 4
_o_(,os)2s,.4o2o• ,wx_o_3,,,. • ,R,x..,4. J I PART NO.
T34000280-1-32 InsertT34000280-1-33 HandleT34000280-1-34 DetentT34000280-1-35 Stop PlateT34000280-1-36 Spacer22252380 Servovalve, Two Stage, 4-WayT34000290-1-81 Hydraulic Schematic, Load Fixture
Preburner Valve Actuator (PVA) L_ad Fixture
T34000290-1-68 Load Fixture Assembly (PVA)T340C0290-1-2 Hous fng, AdapterT34000290-I-67 Shaft, TorqueT34000290- l-37 FlywheelT34000290-1-5 End Cap, HousingT34000290-1-16-2 Cover, PistonT34000290-1-71 Pulley Transducer, ExternalT34000290-1-70 Nut, JamT34000290-1-17 Washer, Bellville BackupT34000290-1-18 Clamp CableT34000290-1-19 Cam, CalibrationT34 000290-1-2 0 Arm, CalibrationT34000280-1-41 WasherT34000290-1-80 WasherT34000280-1-7 Pulley, TakeoffT34000280-1-22 BaseplateT34000280-1-23 Bracket, MountingT34000280-1-24 Lug, MountingT34000280 - 1-25 Cover, Enc oder
T34000290-1-42 Tube Assembly ,T34000290-1-62 Screw, ShoulderT34000290-1-65 Housing and Piston AssemblyT34000290-1-92 Housing, PistonT34000290-1-43 PistonT34000290-1-63 Rod As sembly, PistonT34000290-1-29 Calibration ToolT34000290-1-30 BodyT34000290-1-31 SpudT34000290-1-32 HandleT34000290-1-33 InsertT34000290-1-34 DetentT3400290-1-35 Stop PlateT3400029 0-1-36 SpacerT34000260 Valve, Hydraulic Servo
i i iii |
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1976003058-007
HYDRAULIC RESEARCH I
, REPORT NO. HR73900022end MANUFACTURINO COMPANY textro---'-_i P AGE NO. 5=._ ,,,s,.,, c.,,.o,,,,oA.• ,,-_,Nc,.,c.u,o,,.,-.,._ '°''---'_ rt £V.
,No,.(,0,11..o3o• ,w=.,o-..-,., • *tL,x,,-,.2 I PA RT NO.i i /I i i i _ i i i ill . . __
T34000260-2 Housing AssemblyT34000260-3 Spool, Sleeve AssemblyT34000260-5 Cap, AdjusterT3400026 0-7 SpoolT34000260-8 SleeveT34000260-9 InsertT34000260-10 Sleeve As semblyT34 000260-11 Adapter Plate22252380 Servovalve, Two Stage, 4-WayT34000290-1-81 Hydraullc Schematic, Load FixtureT34000721 Ring, Internal SplineT34000722 Disc, BrakeT34000724 Arm, Sine BarT34000740 P.Ing and Arm Ascembly (PVA)T34000770 Ring and Arm Assembly (MPVA)
Elect_'ical
Load Control System
34010290-001 Load Con:rol System _ssembly34023290-002 Chassis Assembly, Servo Amplifier, Dual34020290-003 Chassis Assembly, Servo Amplifier, Single3402 0290-011 Chassis Assembly, Interface Cards34020290-012 Chassis Assembly, 10V and 15V Power Supply34020290-013 Chassis Assembly, 5V Pcwer Supply34030290-001 Block Diagram, Load Control System34030290-002 Schematic, Servo Amplifier34030290-004 Schematic, Friction Scaling34030290-005 Schematic, Friction Scalinq Direction
Inverter, Dual3403 0290-006 Schematic, Friction Scalinq Direction
Inverter; Single3403 029 0-007 Schematic, CPU Termination3403 0290-008 Schemat ;c, Encoder Analog Converter34030290-009 Logic Diagram, Encoder Read Registers34030290-010 Logic Diagram, DAC Hold Registers3404029 0- 002 P.C. Board, Drilling, Servo Amp 1lfie r34040290-004 P.C. Board, Drilling, Friction Scaling34050290-002 Card Assembly, Servo Amplifier34050290-004 Card Assembly, Friction Scaling34050290-005 Card Assembly, Friction Scaling Direction
Inverter, Dual
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1976003058-008
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HYE3RAULIC RESEARCH ,end MANUFACTUR,|_IOCOMPANY tex_r0n ; REPORT NO. HR 73900022_s,=o,.. ,,, c..,o. ,o.= • v.,,.o,. _._,,o,.,.,,,ss '°'"'_---';-J R E V. P AGE NO. 6
no.,(,os)2s._o=o• ,.x.,o-.=,.,,• ,,.x,s-,.. I PART NO.L i : :i • _ __
34050290-006 Card Assembly, Friction Scaling DirectionInver=er, Single
34050290-007 C-_rd Assembly, CPU Terminatione
34050290-008 Card Assembly, Encoder Analog Converter34050290-009 Card Assembly, Encoder Read Registers34050290-010 Card Assembly, DAC Hold Registers
34060290-002 Wiring Diagram, Servo Amplifier, Dual
34060290-003 Wiring Diagram, Servo Amplifier, Single34070290-012 Wiring Diagram, Power Supply Harness
34080290-001 Cable Assembly, Nova 1210 CPU
-_ 34080290-002 Cable Assembly, Servo Amplifier, Dual34080290-003 Cable Assembly, Servo Amplifier, Single
34080290-004 Cable Assembly, Pressure Transducer
34080290-005 Cable Assembly, Servovalve
34080290-006 Cable Assembl.v, Encoder Peader, Nos. ] & 234080290-007 Cable Assembly, £ncoder Reader, Nos. 3 & 4
34030290-008 Cable Assembly, Encoder Reader, No. 534090650-002 Wire List, Load System Termination
34090290-008 Wire List, Encoder Analog Converter
34;,90290-009 Wire List, Ercoder Read Registers
34090290-010 Wh'e List, DAC Hold R_gisters
34090290-011 WL-e List, Card Chassis Backplane
34109290-011 Pin Layout, I/O Connector, Card Chassis' PL34050290-002 Parts List, Servo Amplifier Card Ass_k_zbly
PL34050290-004 Parts List, Friction Scaling Card Assembly
4.0 CALC ULATIONS
e
4.1 Load Fixture Control Transformt
The control transform uses known parameter_ to determine the
servovalve pressure drop corresponding to the required torque.The control transform is used (via computer) to set this servo-
valve pressure drop during actuator testing. The load fixtureprovides a shaft torque for a specific shaft angle. A schematicof the load fixture showing pertinent geometric parameters is
" shown in Figure 1.
Three equations which, when combines, will yield shaft torqueare:
1) T = P1LIA1 -P2L2A2 = (P1L1 -P2L2)A
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1976003058-009
(_ HYORAULIC RESEARCH J
, REPORT NO. HR73900022
.rid I_IJlNUPACTUR!NO COMPANY |SX(r0--"--'_ /R[2,200.., .. c,.,o, .o,o• v,_,.c,,c,u,o,.,,,,.s ""' EV. P AGE NO. 7,.o., ;,o..,o4.o• ,.x .,_.. ,., • ..x.s,,._ |PART NO.
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where T = shaft torque (in-lb)
P1 = pressure in chamber #1 (psi) r
P2 = pressure in chamber #2 (psi)
L1 = effective lever arm #1 (in)
L2 = effective lever arm #2 _in)
AI=A2=A = cylinder bore cross-sectional a_'ea (in2)
2. _P = P1 - P2
where _P = pressure difference between chambers#1 and #2
3. PS-PR = PI+P2
where PS = servovalve supply pressure E
PR = servovalve return pressure
Combining equations 2 and 3
4. P1 = AP+Ps-PR2
5. P2 = PS-PR- P
Combining equations4 and 5 with 1
6 _r = 2T 1• _" (Ps -PR)(LI -L2) L1 +L2
Thus when requiredtorque(T),cylinderbore area (A), load
fixtureservovalvepressuredrop (Ps- PR) and effectiveleverarm lengths(L1 and L2)are knowx,therequircddifferentialbetween chambers #1 and #2 can be deterrnlned.
As may be noted inFigureI,the e:fectiveleverarm lengthvarieswith shaftangle. The programwhich calculatesthe effectivelever arm versus shaft angle is presented: Figure 2, and a plot
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1976003058-010
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_ HYDRAULIC RESEARCH , [REPORT NO. HR 73900022
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of load fixture effective lever arm versus shaft angle is
preseuted in Figure 3.
For computer use it is advantageous for the curve s; own in
Figure 3 to be an equation. A program was written which
utilizes software provided by the time-share vendor (GeneralElectric Information Services) to generate the constant coefficients
of the polynomial.* The program generates the constant co-
efficients (Al) for the equation:
9
Y= Z Ai xi'li=l
4.2 Friction Torque Calcul ations
The frictio_ torque (ln-lb) was detel_tned by the following
equations:
Chamber Coolant Valve (CCV)
f(t) = 35.6+ .01 AP(t )+ .047 P(t)
Fuel Preburner Oxidizer Valve (FPOV)
f(t) = 42.5 + .01 L_P(t ) + .047 P(t)
Oxidizer Preburner Oxidizer Valve (0POV)
f(t) = 42.5 + .01 AP(t ) + .047 P(t)
Main Oxidizer Valve (MOV)
f(t) = 111.4 + .01 L_P(t) + .047 P(t)
Main Fuel Valve (MFV)
f(t) " 111.4+ .01_P(t) + .047 P(t)
Where _P(t) (lb/tn2) is the pressure differential across theengine valve and P(t) (lb/ln 2) is the hydraulic pressure __t theinlet to the valve.
4.3 Flow Torque Calculations
The flow torque (tn/lb) was defined by the following generalequations:
*Least-squares or rain-max iit of a linear curve.IIII llI I I
Io oil me,.niT,i)l
1976003058-011
(_) HYI[:3RAULIC RESEARCH ,te,"t____.Dr'--D='_. PAGE NO. 9
_$300 WlST |YI CANYON IO&O * VAL|NCIA, CA|*fOINAA qM]S$ ¢0_'i_r i°,,c_l (,os):s,..o,o• ,w. ,1_.,.,,. ,ux_s-:4,_ PA _ T NC.
T(t) _ K.c0[GAee Y_-_-tO]2q,dH
Where Kce is the torque coefficient, tabulated va!ues arepresented in Table i of Attachment I.
Ae@ is the effectivevalve area defined by the curves in
Figures I, 2, 3, 4 and 5 of Attachment I.
_. is the fluiddensity and is 4.6 Ib/St3 for F-!ium and 71.0
Ib/ft3 for oxygen.
dH is the valve hole diameter and is as follows:
CCV = 1.6 in.
FPOV = OPOV = I.I in.
MOV - MFV = 2.5 in.
G, the orifice coefficient is as follows:
Gccv = 1.44
Gfpov = 5.80
Gopov - 8.16
Gmo v - 5.64
Gmf v - 1.52
_P(t) and P(t) are the same as in pazagraph ,.?.
5.0 STATEMENT OF CONFORMANCE
The acceptance tests performed at HR & M Co. June 9 throughJune 13, 1975 and witnessed oy Mr. John Glazner of NASA-MSFCsatisfactorily determined that the Dynamic Load Simulators/LoadControl System has the capability to verify the propellant controlsystem performance. Further, :he SSME-HAS simulators willverify minimum and maximum engine thrust level loads at: well asengine start, stop and emergency shutdown transients leads.See Attachment II.
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1976003058-012
_'_ HY'.2FIAULI_3 IzIESEZ_IqISH
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1976003058-013
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HYDRAULIC RESEARCH . REPORT NO. HR 73900022
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ARM 01/18/74
90 REAL LEFF, L, M, LI., L2100 DIMENSION Y (40)110 TP= 1.115 4 FORMAT (V)120 PRINT, "D,M,E"130 INPUT,D,M,E140 LI=M-D*COS (45./57.3)150 L2=SORT(E**2-LI**2)160 L=L2-D*SIN(45 ./57.3)179 PRINT, "L=",L180 S=L2+D*SIN (45./57.3)-L190 PRINT, "S=",S200 CGO= (D**2+L**2+M**2-E**2)/(2. *D*SQRT (L**2+M**2))210 SGO=-SQRT(I.-CGO**2)
22.0 GAMO=-ATAN2 (SGO,CGO)230 DX=5/40. .m.
240 DO 1 I=1,42?.50 XP=XP+DX
260 IF(I.EQ. 1) XP=0.Q
270 IF(I.EQ.42)XP=S280 CG=(D**2+(L+XP)**2+M**2-E**2)/(2 .*D*SQRT((L+XP)**2+M**2))290 SG=SQRT(I .-CG**2)
I
300 GAM=ATAN2 (SG,CG)310 BEO=ATAN (M/L)320 BE=ATAN (M/(L+XP))330 PI=3.14159340 AO=PI-GAMO-BEO
"350 A=PI-GAM-BE360 THET,_=(A-AO)&57.3370 TD=(D*SIN(A)-M)/(D*COS (A)+L+YP)
380"FX=TP/(D*S IN(A)-D*TD*COS (A))390 LEFF=TP/FX ..395 WRITE("LDCURV", 4)LEFF,THETA
400 PRINT ,"L EFFECTIVE=" ,LEFF ," ","THETA=" ,THETA, "XP=",XP402 1 CONTINUE.410 STOP;END •
Jam
Figure 2 Program to Determine Effective Torque Arm ;
' " ' ..... --" I
1976003058-014
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HYnRAULIC . REPORT NO. HR73900022
RESEARCH
i=n=l MAN|JICACTURINO COMPANY tLXtrON i
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ATTACHMENT I
Figure_ 1
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: I -I J I ; I//_J
I " i i-f #!
O•1..... C_vl_ FORY_U.V'Z ; :. /'_ i. I• ! _ _o.__Y-P_s ' / I I
: . _.,cA_,-(_o.) , . i / / I
o.6- --; ----!----- J...... I .... i ...... - ..... /,_-/ _ tI , i i I _ ! ,"
, : : _ l , -"_/" -
{:.., .... '..---""j" O. ,- -- ,.-".- ........ , "t J• o_2. o!_ .eL6 o!8 z o
• .a ,,,t,_,.o. o_2._o5• zo"_s._/z_5 ,_, ,,,t t, ,,,t,, with_'v
.Ytlue| l/o_;*d below _,oobte4n rCCV. J, ,eeittenoe of 'I,_618 • 10• Vie used in series with I_CCV vtLueo lie_ed belov to obf..min FCCV%
gin" _b
to_cv 1oooUccv rc_ " rccv"z.oooo o.oooo 1.oooo 1.oooo0.9:;63 0.0173 0.7_89 0.9'20o.9_25 o.,3,, o._o6 •0.87080.8688 0.0860 0._518 • 0.78290.8230 o._2,, o.3_, 0.687oO.7813 O.2k22 O.2888 O.6000O.737_ O.382O O.2336 O.3127O.6938 O.3891 O.1899 O,_333O.65_0 O.8961' O.1_0 O.3632 •O.6063 1.3206 O.1281 O.30_'7
0.5623 1.903_ O.lO70 O.2_83" 0._188 2,75t5. 0.0894 0.2178
0._7_0 3.9210 0.07E8 " O.1832O._313 _. 6980 0.0621 O.13280.387.5 8.0138 0.052k 0.1293O.3_38 11.36k7 O.Ok_O O.10880.3000 16.8862 0.0361 O.08%O.2_63 26.6630 O.0287 O.o713O,2125 k_,_762 O,0223 '0, 0_:_3O.1688 00.9009 O.016_1 O,0_10O. 12_0 167,23_3 0.o115 0.028_0.0813 410.1394 0.0073 0.0] 820.037_ 1186.7226 " 0.0043 0.01070.0032 1557. (_01 O.O03a' - 0.0093 •
"'" - Coolsat Control Vslv, E_:eottve ._res ve Po_itfonCb_zseter/et/e
t
d
1976003058-017
....................,..........................................T...........................1...............l................11 1I ] J
Pa_= 3 of 6
ATTACHMENT I
Figure 2
o.8- ._ _ v_,.,I_ _:_ • ,,_;L J [ f , I l..j •
0.6- .- .......... _ ......... -./ . ,_
6.2- i • .i
• ¢ i ' J I0 0.2 O.l__.a 0.6 . . 0,8 1,0
r_Y
.j_ "
A resimtt_oe of 1.71875 x "1"0 $eo2/T. _ van uled in aeries vith 1_1r1_
" _rslgen _is_ed belov to obtain rlzl_. A resists_e of 0.000860
ko_/In :) v.I used with RFFFv to obtain FlZj_e .
• i
1.0000 O.0o00 1.0000" 1.0o00O.9688 O.2_I O.6_28 O.8826O.9375 o. 5721 O.4806 o.7750O.9063 1.0373 O.3770 O.6733O.875O 1.7632 O.2980 o. 5726O.8438 2.9811 O.2335 O.4732O.8125 4.8906 O.1843 O.38670 ,'7813 7.8665 O.1462 O.31390.7500 12.0122 O.1188 O.2_8_0.7188 18.1261 0.0969 O.2128O.6875. 27.6:590 .0.0786 O.17."r7O.6_63 41.8487 O.068,0 o. 1419O.6250 67.0422 O.0506 O.1125O.5938 117.7405 O.0382 O.0852
" 0.5625 228.3827 " 0.0274 0.061_. 0.5315 522.1774 0.o181 0.0406
O._000 1094.5552 .. 0.0126 -O.02BO0,4688 .3648. _732 0.0068 0.01540.4505 5043.4377 0.00_8 0.01310.0880 _o43.4377 • 0.00_8 0.0131o.oooo _. • o.oooo, o.oooo .
e
- he1 l_reb_er 0zAditor Valve Effective Area
v8 Positlon Charscterietio
1976003058-018
-J£- ....... " ............... " ....... I
Im 11T.......................... "T..................................................................:........................I
: I i
t - Page 5 of 6
I ATTACHMENT Ii
Figure 4
"°I ,,i., .IAi-7-/I
•I ,,-,,_°_.c_._ill il,_o.6H " ' [ -.I.- I---" "''" I--I-'11
• ', , ! ' r *e . .I HOV .•lo,J,, ,, liJ
a "'I I , , --I----T-,,-: Y I ;( -I
_o,_II I _L__l....L __10.'___
• 0 . 0.8 . 0,4 0,6 0,8 1.0
• " " ' " " __["#/'_)_)V. " " ....
• remi,tanco of 4.9_08 z 10"3 Soo2/In 5 vs, _,d In aori,, vlth ]UPH0Yval_o| 1_oto_ bolov to obts4n r_v. A rosiotm_o of 4.9_08 •10"_ 8,o_/Ya=_ vim nod in aori*'._-_Ith RFH0y val_oi llstO.d bolov t_ oh-
, toln rHoV. ['_t 0v looo_.ov r_ov r_ov",.oooo o.oooo ,.noon z.ooooO.9706 O.0062 O.3960 O.94211O,9412 O,01411 O,433.5 O,_73o.9_,8 o.o2_,4 0.3302 •o.8_8_0.11824 0.0377 0.2883 0.733.5o.8_29 o.0566 o.2586 o.68310,8c'.53 0,0829 0,1989 0.6113O,7941 O,1242 O,1636 O,5:_90;7647 . o. 1790 O, 13611 0,465.5O.73_3 O.9608 O. 11_7 O.3993O,70_9 O.3586 o. o971 o, :_483O,6765 o. _o16 O,o822 . O.2997O.6471 O.6824 O.0706 O.2601O,6176 O.9:_87 ' O,0602 O,22_8O. _882 1.29117 0.0312 o. 1916O..5_88 1.8086 O.04.54 O.1632
•0..5294 2.6280 0.0360 O.136oO..5000 4. O&20 . 0. o291 0. IIon
". O,4706 6, 6906 • 0,0227 0,01690.4418 l|. 61o_ 0.0_12 0.06_0O, 41111 23.3579 O, 0121 O,0460
• O.3824 36.11137. O.oo711 O.02950,3529 116.8515 0,0o_. 0,0206 .0,.5233 J89.9630 0,0030 0,0113O.0880 _89.9630 O.0030 O.Ol10. 0000 .. 0. 0000 0.0000
I -Main Volvo _f,©tivo Ar,a vn0xldi=or Position Chsrlctoriltlo
d
1976003058-020
..........................1.............................."-......................q.................---_ ...................v
Page 6 of 6
ATTACHMENT I
Figure 5
J
z.o _ _ i _ ; "
/JCURVE_0_VXLVZVZ_ No_u_r, .... : -'--7-..i'1
o.6....... ', ...... , , _,_--/-,'-
; I • _./I '' ., : '._: _"X_L/_
o., ,, 7, , n i I._ _,__. ___. f-.__j 0," r.__._:
i, ! i.I. , i-• _----_7 .0 i i
0 0.2 0.4 0._6 0.8 1.0• ['_]_ -
A rtsist_ace of 1._ z 10-3 See_/I_ 3 _aa a_od in serios vith _vel_om limte_ belov to obtain F_V_-£ resimtan_, of I._ • _"10-) S,_2/T,, _ vas usld iu .,ri,* vtth RPm_v value listed holm* to
•. - obta in l_}(g_• ..... ,
1.0oo0 0.o000. 1.0000 , 1.00000.9706 0.0062 O._9_9 O._00.9419 o. o148 0.4333 0.71210.9118 0,024_ 0.3_00 0.6191 "-0.8824 0.0377 " 0._881 . 0.3364.0.8_29 0.0_67 o.2_84 0.4601O.8233 O.o831 0.1987 0.39360.79_1 O._243 0.1634 0.33010.7647 - 0.1797 0.1366 0._7930.73_3 0.2620 . 0.11_ 0.2_40.70_9 O. 3606 o. 0969 O.201.3O.6763 O._48 O.0820 O, 1711O.6t,71 0.6877 O.0703 O.147_O.6176 O.%76 O.O399• O.123SO,5882 1.3136 O.0309 O.10710.5_88 1.8338 0.0/,31 0.0908 . :0.3294 _.6736 O.03_'7 0.0733O,3000 4.1318 O.0287 O.0606O.4706 6.8x 5? O;022/* o. 0/*720,4418 1:. 1_64 , 0, 01_41 0.03_4 '0. k1111 |4,7_47 0.0117 0.0114i0. _824 62.48_4 0.0074 0.0136
. 0._329 148.2_11 .. 0.0048 • 0.01010.3233 397.4923 ' 0.0024 0.oo_1
. 0.0880 _93. 4923 0.0024 O.0031 •O. 0000 m 0. 0000 0. 0000
| -Main Fuel V, lv, I_ffo_tiv, Area _rl Po,i_L_n Chtr_cterietio
qi ....
i
1976003058-021
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