Magnetic / Gravity Loading Analysis

Transcription

1 Magnetic / Gravity Loading Analysis

2 2 ELEMENTS JUL ELEMENTS MAT NUM 2:5:0 MAT NUM POR Design JUL :5:0 L2 L L q Assumed Location of Gap Encoder(s) ELEMENTS MAT NUM JUL :5:0 Materials: 606 Aluminum Mild Steel Stainless Steel Finite Element Model Nodes 7485 Elements Linear bricks, parabolic tets, linear springs, tension only spars (turnbuckles - nonlinear), surface effect elements (for longitudinal and transverse magnetic load application) Pressure loads applied for magnetic loading No symmetry assumption L = 050 mm L2 = 000 mm L = 500 mm 2

3 POR Design K x = 2800 N / µ K roll = 8 knm / K pitch / yaw = 72 knm / K z = 2667 N / µ Linear Bearing Block Stiffness 8 linear springs per block acting between block / rail 4 springs acting in (Down / Lift off / Roll / Pitch) 4 springs acting in (Side / aw) Spring spacing (y / z) adjusted for angular stiffness (Pitch / Roll / aw)

4 Gravity Load NSRRC EPU - Girder Analysis Gravity and Vertical Magnetic Load Transverse Deflection Vertical Magnetic Load 0,000 Min Gap & 0mm phase U (AVG) RSS=0 DM = S =-.040 SM = :56:49 M 2 U (AVG) RSS=0 DM = S =-.040 SM = M 22:56:49 STEP=2 TIME=2 U (AVG) RSS=0 DM = S = SM =.02 M 2:0:0 2 STEP=2 TIME=2 U (AVG) RSS=0 DM = S = SM =.02 M 2:0: U (AVG) RSS=0 DM = S =-.040 SM = M 22:56: STEP=2 TIME=2 U (AVG) RSS=0 DM = S = SM = M 2:0: Vertical force on the top girder for the inclined plane mode 4

5 Gravity Load NSRRC EPU - Girder Analysis Gravity and Vertical Magnetic Load Vertical Deflection Vertical Magnetic Load 0,000 Min Gap & 0mm phase U (AVG) RSS=0 DM = S =-.464 SM = M 22:57:2 2 U (AVG) RSS=0 DM = S =-.464 SM = M 22:57:2 STEP=2 TIME=2 U (AVG) RSS=0 DM = S = SM = M 2:0:26 2 STEP=2 TIME=2 U (AVG) RSS=0 DM = S = SM = M 2:0: U (AVG) RSS=0 DM = S =-.464 SM = :57: STEP=2 TIME=2 U (AVG) RSS=0 M DM = S = SM = :0:26 M Vertical force on the top girder for the inclined plane mode 5

6 Girder Vertical Deformation (mm) NSRRC EPU - Girder Analysis Vertical Magnetic Load NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Normalized Encoder Locations) Girder Deformation along Tranverse Center Vertical Magnetic Minimum Gap Upper Girder Lower Girder Gap Change 2 th Order Polynomial Fit Distance from Girder Center (mm) 2 th Order Polynomial Fit used for Phase Error Calculations in B2E (Igor) 6

7 Vertical Magnetic Load Phase Error Photon Phase Error ( ) NSRRC EPU Photon Phase Error from Girder Defl. RMS Phase Error =.2 (Min Gap - Inclined Plane Mode - 0mm Phase) Pole #

8 0.052 NSRRC EPU - Girder Analysis Vertical Magnetic Load NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Total Girder Deflection along Tranverse Center Vertical Magnetic Minimum Gap Total Girder Vertical Deflection (mm) Upper Girder Lower Girder Distance from Girder Center (mm) 8

9 -.8 NSRRC EPU - Girder Analysis Vertical Magnetic Load NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Angular Deflection about Longitudinal Center Vertical Magnetic Minimum Gap -4.0 Girder Angular Deflection ( -rad) Upper Girder Lower Girder Distance from Girder Center (mm) 9

10 Gravity Load Total Girder Vertical Deflection (mm) NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Total Girder Deflection along Tranverse Center Gravity Minimum Gap Upper Girder Lower Girder Note Tilt in EPU; Turnbuckles not active for gravity load simulation Tilt will be adjusted for during setup Leftmost (+ in FE Model) support pedestal exhibits slightly lower stiffness compared to center and rightmost (-) pedestals Distance from Girder Center (mm) 0

11 Girder Angular Deflection ( -rad) NSRRC EPU - Girder Analysis Gravity Load NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Angular Deflection about Longitudinal Center Gravity Minimum Gap Upper Girder Lower Girder Distance from Girder Center (mm)

12 Transverse & Longitudinal Magnetic Load 2 ELEMENTS JUL ELEMENTS MAT NUM 0:48:06 MAT NUM JUL :48:06 ELEMENTS MAT NUM JUL :48:06 Traction Loads Opposing Magnet Faces Finite Element Model (Full Model) 2

13 Transverse Deflection NSRRC EPU - Girder Analysis Transverse Magnetic Load Vertical Deflection U (AVG) RSS=0 DM = S = SM =.0062 M 22:02:29 2 U (AVG) RSS=0 DM = S = SM =.0062 M 22:02:29 U (AVG) RSS=0 DM = S = SM =.64E-0 M 22:0:9 2 U (AVG) RSS=0 DM = S = SM =.64E-0 M 22:0: E E-0.964E U (AVG) RSS=0 DM = S = SM =.0062 M E E-0.964E :02: E-0 -.2E-0.72E E E-0.0E-0.64E-0 U (AVG) RSS=0 DM = S = SM =.64E-0 M E-0 -.2E-0.72E E E-0.0E-0.64E-0 22:0: E-0.0E-0.964E E E E-0 -.2E-0.0E-0.72E-0.64E-0 Transverse force on the top girder for the inclined plane mode Transverse Magnetic Load,000 Min Gap &.5mm phase

14 NSRRC EPU - Girder Analysis Transverse Magnetic Load Transverse Deflection NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Transverse Longitudinal Center Transverse Magnetic Minimum Gap Girder Transverse Deflection (mm) Upper Girder Lower Girder Distance from Girder Center (mm) 4

15 NSRRC EPU - Girder Analysis Transverse Magnetic Load Vertical Deflection NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Vertical Longitudinal Center Transverse Magnetic Minimum Gap Girder Vertical Deflection (mm) Upper Girder Lower Girder Distance from Girder Center (mm) 5

16 7.2 NSRRC EPU - Girder Analysis Transverse Magnetic Load Angular Deflection NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Angular Deflection about Longitudinal Center Transverse Magnetic Minimum Gap Girder Angular Deflection ( -rad) Upper Girder Lower Girder Distance from Girder Center (mm) 6

17 Transverse Deflection NSRRC EPU - Girder Analysis Longitudinal Magnetic Load Vertical Deflection U (AVG) RSS=0 DM = S = SM =.0576 M 2 2:47:55 U (AVG) RSS=0 DM = S = SM =.0576 M 2:47:55 U (AVG) RSS=0 DM = S = SM = M 2:48:9 2 U (AVG) RSS=0 DM = S = SM = M 2:48: U (AVG) RSS=0 DM = S = SM = M 2:47: E E U (AVG) RSS=0 DM = S = SM = M 2:48: E Longitudinal force on the top girder for the inclined plane mode Longitudinal Magnetic Load 25,000 Min Gap &.5mm phase 7

18 Longitudinal Magnetic Load Longitudinal Deflection U (AVG) RSS=0 DM = S = SM = :48:4 M 2 U (AVG) RSS=0 DM = S = SM =.0895 M 2:48: E U (AVG) RSS=0 DM = S = SM = E M 2:48: E Longitudinal force on the top girder for the inclined plane mode Longitudinal Magnetic Load 25,000 Min Gap &.5mm phase 8

19 0.06 NSRRC EPU - Girder Analysis Longitudinal Magnetic Load Transverse Deflection NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Transverse Longitudinal Center Longitudinal Magnetic Minimum Gap Girder Transverse Deflection (mm) Upper Girder Lower Girder Distance from Girder Center (mm) 9

20 Girder Vertical Deflection (mm) NSRRC EPU - Girder Analysis Longitudinal Magnetic Load Vertical Deflection NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Vertical Longitudinal Center Longitudinal Magnetic Minimum Gap Upper Girder Lower Girder Gap Change After Seismic analysis, runs will be attempted to force gap centerline back to zero and evaluate subsequent bearing loads. Thermal loads will be applied to ball screws to force expansion / contraction Distance from Girder Center (mm) 20

21 Longitudinal Magnetic Load Angular Deflection NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Angular Deflection about Longitudinal Center Longitudinal Magnetic Minimum Gap 5 Girder Angular Deflection ( -rad) Upper Girder Lower Girder Distance from Girder Center (mm) 2

22 0.075 NSRRC EPU - Girder Analysis Longitudinal Magnetic Load Longitudinal Deflection NSRRC EPU Strongback Outer Uprights (L=050mm. L2=000, L=500mm) Girder Longitudinal Longitudinal Center Longitudinal Magnetic Minimum Gap Girder Longitudinal Deflection (mm) Upper Girder Lower Girder Distance from Girder Center (mm) 22

23 Equivalent Stress(es) due to Gravity Loading Mild Steel Components Aluminum Components DM =.9769 S = SM =.79E+08 M JUL :27: 2 DM =.9769 S = SM =.79E+08 M JUL :27: DM = S = SM =.65E+07 M JUL :24:49 2 DM = S = SM =.65E+07 M JUL :24: E+07.69E+08.25E+08.7E E+07.26E+08.2E E+08.79E+08 DM =.9769 S = SM =.79E+08 M E+07.69E+08.25E+08.7E E+07.26E+08.2E E+08.79E+08 JUL :27: E E+07.44E E E+07.62E E+07.65E+07 DM = S = SM =.65E+07 M E E+07.44E E E+07.62E E+07.65E+07 JUL :24: E+07.84E+07.26E+08.69E+08.2E+08.25E E+08.7E+08.79E E+07.27E E+07.62E+07.44E E E+07.65E+07 All nominal component stresses at least order of magnitude lower than yield stress of constituent material 2

24 Equivalent Stress(es) due to Vertical Magnetic Loading Mild Steel Components Aluminum Components STEP=2 TIME=2 TOP DM = S =.4895 SM =.87E+08 JUL :6:00 M 2 STEP=2 TIME=2 TOP DM = S =.4895 SM =.87E+08 M JUL :6:00 STEP=2 TIME=2 TOP DM = S = SM =.5E+08 JUL :8:26 M 2 STEP=2 TIME=2 TOP DM = S = SM =.5E+08 M JUL :8: E+07.72E E+08.44E+08.40E+07.29E+08.25E+08.0E+08.87E+08 STEP=2 TIME=2 TOP DM = S =.4895 SM =.87E E+07.72E E+08.44E+08.40E+07.29E+08.25E+08.0E+08.87E+08 M JUL :6: E+07.60E+07.90E+07.20E+08.50E+07.45E+07.75E+07.05E+08.5E+08 STEP=2 TIME=2 TOP DM = S = SM =.5E E+07.60E+07.90E+07.20E+08.50E+07.45E+07.75E+07.05E+08.5E+08 M JUL :8: E E+07.29E+08.72E+08.25E E+08.0E+08.44E+08.87E E+07.0E+07.45E+07.60E+07.75E+07.90E+07.05E+08.20E+08.5E+08 All nominal component stresses at least order of magnitude lower than yield stress of constituent material 24

25 Equivalent Stress(es) due to Longitudinal Magnetic Loading Mild Steel Components Aluminum Components DM = S =7.59 SM =.74E+08 M JUL :7:2 2 DM = S =7.59 SM =.74E+08 M JUL :7:2 DM = S =8.25 SM =.46E+07 M JUL :4:09 2 DM = S =8.25 SM =.46E+07 M JUL :4: E E+07.6E+08.54E+08.9E E E+07.5E+08.74E+08 DM = S =7.59 SM =.74E E E+07.6E+08.54E+08.9E E E+07.5E+08.74E+08 M JUL :7: E+07.29E+07.88E E E+07.9E+07.46E+07 DM = S =8.25 SM =.46E+07 M E+07.29E+07.88E E E+07.9E+07.46E+07 JUL :4: E+07.86E E E E+07.6E+08.5E+08.54E+08.74E E+07.94E E+07.29E+07.9E+07.88E+07.46E+07 All nominal component stresses at least order of magnitude lower than yield stress of constituent material 25

26 Modal / Siesmic Analysis Note that in order to estimate actual deflections from modal analysis results, two items are required; Reasonable estimate of damping can be obtained from measurements of multiple EPU s Quantitative data from floor vibration measurements 26

27 Modal Analysis / Seismic Analysis 997 UBC Ch 6 Section 627 Definitions Component, Flexible, is a component, including its attachments, having a fundamental period greater than 0.06 second (Fn < 7.67 Hz) st Three Modes Primarily Support Hardware Mode 7.4 Hz Mode Hz Note: Must be viewed in Slide Show mode to view animations 27

28 Modal Analysis / Seismic Analysis 997 UBC Ch 6 Section 627 Definitions Component, Flexible, is a component, including its attachments, having a fundamental period greater than 0.06 second (Fn < 7.67 Hz) st Three Modes Primarily Support Hardware Mode 5.2 Hz Note: Must be viewed in Slide Show mode to view animations 28

29 997 UBC Ch 6 Section 627 Definitions Component, Flexible, is a component, including its attachments, having a fundamental period greater than 0.06 second (Fn < 7.67 Hz) st Three Significant Internal Modes Mode Hz Mode 8.2 Hz Note: Must be viewed in Slide Show mode to view animations 29

30 997 UBC Ch 6 Section 627 Definitions Component, Flexible, is a component, including its attachments, having a fundamental period greater than 0.06 second (Fn < 7.67 Hz) st Three Significant Internal Modes Mode Hz Note: Must be viewed in Slide Show mode to view animations 0

31 Seismic Analysis 997 UBC Ch 6 Section 62 Lateral Force on Elements of Structures, Nonstructural Components and Equipment Supported by Structures Fp = a p C a I p (+h x /h r ) W p / R p a p = 2.5 for flexible components with ductile materials, UBC Table 6-O C a = 0.4 Na (Seismic coefficients) N a =. I p =.5 (Importance Factor) R p =.0 (UBC Table 6-O) W p = Component Weight = 8,8 Kg h x = 0 (ground level) F p = 0.65 W p F p = 56,04 N - acceleration(s)) Force to be applied at C.G. of structure (0.65 g horizontal

32 4 ELEMENTS MAT NUM JUL :26:05 Finite Element Model for Seismic Evaluation Tension only links included Contact surface steel plate to floor Monitor reactions at anchor locations used as input to NSRRC for anchor selection F p applied as horizontal acceleration(s) +/- & + directions Gravity 0.5 g downward ground acceleration of 0.65 g resulting in greatest tensile anchor loads Support Support Support 2 Anchor Node Numbers 2

33 Seismic analysis results expected by 7/2/06 The following results are from SLAC analysis of seismic loads on adjuster feet and are included for reference only. NSRRC loads are expected to be ~0% lower due to reduced weight.

34 - (Transverse) Horizontal Load Results ELEMENTS F MAR :9:57 S (AVG) DM = S =-.595E+08 SM =.06E+09 MAR :5: E+09.25E+ Restraints File: differential thread kinematic mount Support Foot: 440C Stainless Rc=57 : σ y = 895 MPa σ u = 964 MPa Shear Loads Ball Socket (Support in Table below) M -.595E E+08.27E+08.62E+08.0E+09.4E+09.84E E E+09.06E+09 File: differential thread kinematic mount Differential Adjuster Foot Loads NODE F (N) F (N) F (N) M (N-mm) M (N-mm) M (N-mm) Support Support Support E E E E E+04.25E E E E E E E E E E E E E+04.8E E E E+0 2.9E E Support Foot Stress Max. (Principle) Stress = 06 MPa Ball Node EPU Floor Node Center Node Ball Node EPU Floor Node Center Node Ball Node EPU Floor Node Center Node Resultant Shear Load

35 + (Longitudinal) Horizontal Load Results ELEMENTS F MAR :9:57 S (AVG) DM =.8529 S =-.59E+08 SM =.229E+09 MAR :57: -.565E+09.25E+ Restraints M File: differential thread kinematic mount Support Foot: 440C Stainless Rc=57 : σ y = 895 MPa σ u = 964 MPa Shear Loads Ball Socket (Support in Table below) -.59E E+07.20E E E+08.E+09.4E+09.70E E E+09 File: differential thread kinematic mount Differential Adjuster Foot Loads NODE F (N) F (N) F (N) M (N-mm) M (N-mm) M (N-mm) Support Support Support E E E E E E E E+02.E E+02 -.E E E E E E E E E E+00.02E Support Foot Stress Max. (Principle) Stress = 2 MPa Ball Node EPU Floor Node Center Node Ball Node EPU Floor Node Center Node Ball Node EPU Floor Node Center Node Resultant Shear Load