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GTSTRUDL User’s Group. Annual Meeting - 2011. Dynamic Analysis of Service Water Pump for Seismic Restraint. June 24, 2011 Parimal Gandhi, PE Sr. Engineer. PURPOSE. Dynamic Analysis of Service Water Pump to Evaluate Seismic Loads on the Restraint . AND - PowerPoint PPT Presentation
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GTSTRUDL User’s GroupGTSTRUDL User’s Group
Dynamic Analysis of
Service Water Pump for
Seismic Restraint
June 24, 2011Parimal Gandhi, PE
Sr. Engineer1
Annual Meeting - 2011Annual Meeting - 2011
PURPOSE
2
Dynamic Analysis of Service Water Pump to Evaluate Seismic Loads on the Restraint.
AND
NRC Reg. Guide 1.92 & NRC Gupta Method for Missing Mass Impact on Seismic Loads.
AGENDA
3
Background of Plant Service Water System, Pump, and Seismic Restraint.
Failure of Seismic Restraint.
Dynamic Analysis of SW Pump With and Without Seismic Restraint.
Impact of NRC Reg.Guide 1.92, Rev. 2 on SW Pump Dynamic Analysis.
Conclusion.
BACKGROUNDPLANT SERVICE WATER SYSTEM
4
The Service Water Pond covers approximately 94 surface acres, and is required to provide adequate cooling for 30 days following an accident.
BACKGROUNDPLANT SERVICE WATER SYSYEM
5
The Plant Service Water System is designed to:
Withstand the design basis earthquake (DBE) without impairing its function.
Have sufficient capacity and redundancy to provide reliable cooling.
Be operable during loss-of-offsite power
BACKGROUNDSW PUMP
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The SW pumps' capable to withstand a design basis earthquake (DBE) without a loss of function.
If the seismic restraints are degraded to the point that their design function can-not be met, then the associated SW pumps may not be able to withstand a DBE.
7
BACKGROUND SW PUMP PUMP MOTOR
COLUMN ASSEMBLY
BOWL ASSEMBLY
DISCHARGE HEAD ASSEMBLY
PUMP BASE PLATE
SEISMIC RESTRAINT
BACKGROUNDSEISMIC RESTRAINT
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FAILURESEISMIC RESTRAINT
9
10
CORROSION
MAINTANCE LOAD (VERTICAL)
ZERO GAP FOR LATERAL RESTRAINT
FAILURESEISMIC RESTRAINT
EXAMPLE: STRUDL Math Model For PumpWith Seismic Restraint
11
20- FLOOR PUMP BASEPLATE
17- UPPERSEISMIC RESTRAINT
12 - LOWERSEISMIC RESTRAINT
DYNAMIC ANALYSIS
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13
DYNAMIC ANALYSIS
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EIGENPROBLEM SOLUTIONEIGENPROBLEM SOLUTION
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DYNAMIC MASS PARTICIPATION FACTORSDYNAMIC MASS PARTICIPATION FACTORS
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RESPONSE SPECTRA CURVEEAST-WEST
RESPONSE SPECTRA CURVEEAST-WEST
17
STORING RESPONSE SPECTRAEAST-WEST
STORING RESPONSE SPECTRAEAST-WEST
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RESPONSE SPECTRA CURVEVERTICAL
RESPONSE SPECTRA CURVEVERTICAL
19
STORING RESPONSE SPECTRAVERTICAL
STORING RESPONSE SPECTRAVERTICAL
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RESPONSE SPECTRA CURVENORTH-SOUTH
RESPONSE SPECTRA CURVENORTH-SOUTH
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STORING RESPONSE SPECTRANORTH-SOUTH
STORING RESPONSE SPECTRANORTH-SOUTH
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RESPOSNSE SPECTRUM LOADINGRESPOSNSE SPECTRUM LOADING
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NRC REG. GUIDE 1.92 Rev.1 LOADINGNRC REG. GUIDE 1.92 Rev.1 LOADING
Reg.Guide Rev.1: TOTAL = [(LOAD1-Z) 2 + (LOAD2-X) 2 +(LOAD3-Y) 2 ]1/2
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SUPPORT REACTIONS & DISPLACEMENTWITH SEISMIC RESTRAINT
SUPPORT REACTIONS & DISPLACEMENTWITH SEISMIC RESTRAINT
Reg.Guide Rev.1: TOTAL = [(LOAD1-Z) 2 + (LOAD2-X) 2 +(LOAD3-Y) 2 ]1/2
UNITS: FORCE LBS, MOMENT IN-LBS
UNITS: DISPACEMENT INCH, ROTATION RAD
STRUDL MATH MODEL FOR PUMPWITHOUT SEISMIC RESTRAINT
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20- FLOOR PUMP BASEPLATE
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SUPPORT REACTIONS & DISPLACEMENTWITHOUT SEISMIC RESTRAINT
SUPPORT REACTIONS & DISPLACEMENTWITHOUT SEISMIC RESTRAINT
Reg.Guide Rev.1: TOTAL = [(‘LOAD1-Z’) 2 + (‘LOAD2-X’) 2 +(‘LOAD3-Y’) 2 ]1/2
UNITS: FORCE LBS, MOMENT IN-LBS
UNITS: DISPACEMENT INCH, ROTATION RAD
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PUMP STRESSES & DISPLACEMENTPUMP STRESSES & DISPLACEMENTCheck Pump Base Plate Stresses
ForcesAt Pump Base
PlateDue to Seismic
Condition
With Seismic Restraint
Without Seismic Restraint
Remarks
Fx (kips) 2.21 2.67Fy (kips) 2.05 2.05Fz (kips) 2.26 3.0
Mx (in-kips) 161.9 1065.6
My (in-kips) 0 0
Mz (in-kips) 158.2 843.4
Bolt Tensile Stress with
Nozzle & Seismic Loads
10.0 ksi 20.2 ksi Allowable 19.2 ksi for 1 ¼” Bolts A-307
Check Pump DisplacementDisplacement At
Lower end of Pump
Due to Seismic Condition
With Seismic Restraint
Without Seismic Restraint
Remarks
Δ x ( inch) 1.51 4.27Δ y ( inch) 0.0 0.0Δ z ( inch) 1.55 5.51
`
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NRC Reg Guide 1.92, Rev 1 Missing Mass Positions
NRC Reg Guide 1.92, Rev 1 Missing Mass Positions
All modes are assumed to be out-of-phase with the ground acceleration and out-of-phase with each other
All modes having frequencies ≤ “significant” frequency
If frequencies are not closely spaced:
SRSS Mode Combination Method
1/2n2
k kii=1
R = R , for k = ground motion directions 1, 2, 3
n = number of "significant" modes used in solution
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Frequency1F 2F
ZPAF
Low FrequencyOut-of-PhaseResponse
Mid FrequencyTransition fromOut-of-Phase toIn-Phase Response
High FrequencyIn-Phase Rigid StaticResponse
F1 = frequency at which peak spectral acceleration is observed
F2 = frequency above which the SDOF (modal) oscillators are in-phase with the transient
acceleration input used to generate the spectrum and in phase with each other
FZPA = frequency at which the spectral acceleration returns to the zero period acceleration;
maximum base acceleration of transient acceleration input used to generate the spectrum
NRC GUPTA METHODMissing Mass Positions
NRC Reg Guide 1.92, Rev 2
NRC GUPTA METHODMissing Mass Positions
NRC Reg Guide 1.92, Rev 2
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● For each mode i, in each ground motion direction k, the response is separated into a periodic part and a rigid part:
rki ki ki
2 1/2pki ki ki
ki
2 2 1/2ki rki pki
R = R (rigid modal response)
R = (1 - ) R periodic modal response
where 0 1 and k = 1, 2, 3
R = (R + R )
● The periodic modal response portions are combined using a double sum rule:
1/2n n
pk kij pki pkji=1 j=1
ZPA
R = R R ,k = 1, 2, 3,
and where n = number of modes below F
NRC GUPTA METHODMissing Mass Positions
NRC Reg Guide 1.92, Rev 2
NRC GUPTA METHODMissing Mass Positions
NRC Reg Guide 1.92, Rev 2
31
● The rigid modal responses are combined algebraically,including the residual rigid contribution from the missing mass:
n
rk rki missingmasski=1
ZPA
R = R + R , k = 1,2,3,
and where n = number of modes below F
● The total response in each ground motion direction is computed from the SRSS of the modal combinations of the periodic and rigid responses:
1/22 2k rk pkR = R + R , k = 1, 2, 3
NRC GUPTA METHODMissing Mass Positions
NRC Reg Guide 1.92, Rev 2
NRC GUPTA METHODMissing Mass Positions
NRC Reg Guide 1.92, Rev 2
32
NRC Reg.Guide Rev.2: TOTAL+MM = [(‘LOAD1-Z’+’Z-MAS’) 2 + (‘LOAD2-X’+’X-MAS’) 2 +(‘LOAD3-Y’+ ‘Y-MASS’) 2 ]1/2
Missing MassNRC Reg Guide 1.92, Rev 2
Missing MassNRC Reg Guide 1.92, Rev 2
33
NRC Gupta Method Reg Guide 1.92, Rev 2NRC Gupta Method
Reg Guide 1.92, Rev 2
34
NRC Gupta Method Reg Guide 1.92, Rev 2NRC Gupta Method
Reg Guide 1.92, Rev 2
35
NRC Gupta Method Reg Guide 1.92, Rev 2NRC Gupta Method
Reg Guide 1.92, Rev 2
36
NRC Gupta Method Reg Guide 1.92, Rev 2NRC Gupta Method
Reg Guide 1.92, Rev 2
‘GUP-ZT’= [(‘ZR’+’ZPMM’) 2 + (‘Z-PERDC’) 2]1/2
‘GUP-XT’= [(‘XR’+’XPMM’) 2 + (‘Z-PERDC’) 2]1/2
‘GUP-YT’= [(‘YR’+’YPMM’) 2 + (‘Z-PERDC’) 2]1/2
‘GUP-TOTL’= [(‘GUP-ZT’) 2 + [(‘GUP-XT’) 2 + (‘GUP-YT’) 2]1/2
37
Reg.Guide Rev.1: TOTAL = [(‘LOAD1-Z’) 2 + (‘LOAD2-X’) 2 +(‘LOAD3-Y’) 2 ]1/2
NRC Reg.Guide Rev.2: TOTAL+MM = [(‘LOAD1-Z’+ ‘Z-MAS’) 2 + (‘LOAD2-X’+ ‘X-MAS’) 2 +(‘LOAD3-Y’+’Y-MASS’) 2 ]1/2
‘GUP-TOTL’= [(‘GUP-ZT’) 2 + [(‘GUP-XT’) 2 + (‘GUP-YT’) 2]1/2
Missing Mass PositionsNRC Reg Guide 1.92, Rev 1 & 2
NRC Gupta Method
Missing Mass PositionsNRC Reg Guide 1.92, Rev 1 & 2
NRC Gupta Method
38
FREQUENCY SPECIFICATONS O TO 900
NUMBER OF MODES 50
NRC Reg Guide 1.92, Rev 1, 2 & Gupta Method Missing Mass Positions
NRC Reg Guide 1.92, Rev 1, 2 & Gupta Method Missing Mass Positions
Frequency
39
NRC Reg Guide 1.92, Rev 1 & 2 Missing Mass Positions
NRC Reg Guide 1.92, Rev 1 & 2 Missing Mass Positions
40
DYNAMIC MASS PARTICIPATION FACTORSDYNAMIC MASS PARTICIPATION FACTORS
41
Reg.Guide Rev.1: TOTAL = [(‘LOAD1-Z’) 2 + (‘LOAD2-X’) 2 +(‘LOAD3-Y’) 2 ]1/2
NRC Reg.Guide Rev.2: TOTAL+MM = [‘(LOAD1-Z’+ ‘Z-MAS’) 2 + (‘LOAD2-X’+ ‘X-MAS’) 2 +(‘LOAD3-Y’+ ‘Y-MASS’) 2 ]1/2
‘GUP-TOTL’= [(‘GUP-ZT’) 2 + [(‘GUP-XT’) 2 + (‘GUP-YT’) 2]1/2
Missing Mass PositionsNRC Reg Guide 1.92, Rev 1 & 2
NRC Gupta Method
Missing Mass PositionsNRC Reg Guide 1.92, Rev 1 & 2
NRC Gupta Method
42
Reg.Guide Rev.2: TOTAL-X = [(X LOAD2) 2 + (MM LOAD2) 2]1/2
NRC Gupta Method: GUP XT = [(X RIGID+MM-XPERD) 2 + ( X PERDC) 2]1/2
Reg. Guide 1.92, Rev. 1: X LOAD 2
Missing Mass PositionsNRC Reg Guide 1.92, Rev 1 , 2 & NRC GUPTA Method
Missing Mass PositionsNRC Reg Guide 1.92, Rev 1 , 2 & NRC GUPTA Method
CONCLUSION
43
Seismic Restraint : To Reduce Pump Deflection
and Stresses
No Impact of NRC Reg.Guide 1.92, Rev.
2 on Pump Dynamic Analysis
Questions?Questions?
Thank you.Thank you.
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