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FEA Summery Report(APA Consortium Meeting on March 30, 2020)
Ang Lee
March 30, 2020
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 20201
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
APA Shipping Frame mainly Consists of :- S355 steel Tubing with S(yield)=355 MPa; Su=470 MPa.- Carbon steel plate. - AVM Shock Absorber.
2
Summery of FEA Analysis for APA Shipping Frame
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
The solid Model is provided by George Stavrakis in STEP file format.The ANSYS WB 19.2 is used for FEA analysis as shown above.
AVM Wire Shock Absorber
Steel Plate
Steel Tubing
3
Summery of FEA Analysis for APA Shipping Frame
Applicable Code used for FEA Analysis
• ASME BTH-1 Codes is used for the lifting device. It is recommended by
Compliance Office preliminary requirements_ Memorandum dated 2/11/2020 EDMS No.:2093094
for service class A.
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 20204
Required (Safety factor) SF
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 20205
ASME BTH-1 required
1) SF ≥ 2 for the structure member.
2) SF≥ 2.4 for the connections.
3) Above SF is respected to the yield
stress of the material in use.
4) The shipping frame is made of SS355
carbon steel, which has a yield stress of
355 MPa (~51.5 Ksi)
5) 7 (or more) possible configurations have
been analysed.
Position 1 _ Stress (MPa)SF=355/136.6=2.59>2
Above illustration is from Justin Freitag, January 24, 2020 report
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
FEA STRESS RESULT
6
Position 2 Stress MPaSF=355/155=2.29
(Just before to rotate)
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 20207
3/30/2020
Two corner points
One point
Position 3 Stress (MPa)SF=355/119 .19> 2
Ang Lee FEA Summery for APA Consortium Meeting March 30 20208
Position 4 Vertical stress (MPa); SF=355/109.1>>2Finished 1st rotation (from Horizontal to Vertical)
F=31840 N=3249 Kg
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 20209
Position 4 Vertical stress (MPa); SF=355/109.1>>2Finished 1st rotation (from Horizontal to Vertical)
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202010
Position 5 stress MPa; SF=355/122>>2 (Second rotation)
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202011
Position 6 Stress (MPa);SF=355/136>2(Just before the yellow sling to be picked up )
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202012
Position 7 Stress (MPa)SF=355/124>>2
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202013
Weld SIZE width effective width DY1 DX1 DY2 DX2 AREA IXX IYY IZZ Rmax Combine force Sy Su Sa
3.20 2.26 80.00 31.80 86.40 38.20 756.48 696362.60 186966.49 883329.09 47.23 355.00 470 235
absorber Fx Fy Fz Mx My Mz (MPa) Sz_n Sy+Sx_s Smx_n Smy_n Smz_s Sn_sub S_shear Scombined SF
1.00 2362.83 -379.05 -183.64 32262.48 116356.44 -65612.42 0.24 3.16 2.00 11.89 3.51 14.13 6.67 18.25 19.45
2.00 925.65 34.23 -58.02 5124.16 51015.98 3812.87 0.08 1.22 0.32 5.21 0.20 5.61 1.43 6.13 57.93
3.00 2290.47 356.49 -213.15 3918.29 111319.22 57474.44 0.28 3.06 0.24 11.37 3.07 11.90 6.14 15.95 22.25
4.00 2619.95 187.83 176.65 32023.23 -124420.65 -48150.49 0.23 3.47 1.99 -12.71 2.57 -10.49 6.05 14.82 23.95
5.00 800.30 -25.23 -0.75 4338.11 -46906.32 3054.12 0.00 1.06 0.27 -4.79 0.16 -4.52 1.22 4.99 71.11
6.00 2541.07 -152.60 287.06 -211.25 -111217.79 36098.92 0.38 3.37 -0.01 -11.36 1.93 -11.00 5.30 14.32 24.79
7.00 1957.98 362.94 -184.54 29659.31 -99773.77 -58138.58 0.24 2.63 1.84 -10.19 3.11 -8.11 5.74 12.83 27.67
8.00 488.75 -12.81 131.91 2317.57 -11263.05 1941.08 0.17 0.65 0.14 -1.15 0.10 -0.83 0.75 1.54 230.07
9.00 1974.86 -358.09 -224.78 285.63 -98673.23 55679.04 0.30 2.65 0.02 -10.08 2.98 -9.77 5.63 13.80 25.72
10.00 2122.59 -158.50 190.39 26492.99 101017.17 -40718.47 0.25 2.81 1.64 10.32 2.18 12.21 4.99 14.96 23.72
11.00 445.99 8.47 401.54 2188.83 14174.32 1901.71 0.53 0.59 0.14 1.45 0.10 2.11 0.69 2.43 146.08
12.00 2124.17 131.16 288.98 -1390.38 94385.06 33473.81 0.38 2.81 -0.09 9.64 1.79 9.94 4.60 12.74 27.86
Weld SIZE width effective width DY1 DX1 DY2 DX2 AREA IXX IYY IZZ Rmax
diagnal 3.20 2.26 24.15 31.80 28.67 36.32 273.64 34046.45 49815.70 83862.14 23.14
Fx Fy Fz Mx My Mz (MPa) Sz_n Sy+Sx_s Smx_n Smy_n Smz_s Sn_sub S_shear Scombined SF
1.00 1350.56 -662.96 -43.59 20764.97 62017.60 -38991.06 0.16 5.50 11.08 22.61 10.76 33.85 16.26 44.03 8.06
2.00 1192.64 704.06 105.10 -20509.72 56748.70 34131.59 0.38 5.06 10.94 20.69 9.42 32.02 14.48 40.67 8.73
3.00 1159.80 912.51 128.55 -18516.29 44280.42 -19752.49 0.47 5.39 9.88 16.14 5.45 26.49 10.84 32.47 10.93
4.00 1207.09 -898.73 145.27 16893.97 44617.25 20361.13 0.53 5.50 9.01 16.27 5.62 25.81 11.12 32.20 11.02
5.00 1571.30 -1460.81 -11.78 -25191.34 -59505.39 -41471.33 0.04 7.84 13.44 21.70 11.44 35.18 19.28 48.51 7.32
6.00 1598.74 1493.38 36.78 26847.63 -63074.30 40743.08 0.13 8.00 14.32 23.00 11.24 37.45 19.24 50.13 7.08
7.00 950.96 659.72 -158.01 17996.18 -45643.28 -15494.31 0.58 4.23 9.60 16.64 4.28 26.82 8.50 30.60 11.60
8.00 876.75 -725.91 14.58 -18501.06 -46826.69 19543.27 0.05 4.16 9.87 17.07 5.39 27.00 9.55 31.66 11.21
top section of beam lifting
Weld SIZE width effective width DY1 DZ1 DY2 DZ2 AREA IZZ IYY IXX Rmax
3.2 2.2624 62.285 50.8 66.8098 55.3248 532.1608 351962.76 262352.1121 614314.8739 43.3716 SF
Fx Fy Fz Mx My Mz (MPa) Sx_n Sy+Sz_s Smz_n Smy_n Smx_s Sn_sub S_shear Scombined SF
1 -15150.53 10911.00 25.77 -1687.64 7775.42 2869.80 28.47 20.50 0.27 0.82 0.12 29.56 20.62 46.37 7.66
2 -15616.79 -11259.76 27.90 -4005.30 10783.18 -220.91 29.35 21.16 0.02 1.14 0.28 30.50 21.44 48.06 7.39
3 493.45 370.73 32.70 1678.50 -2133.93 6598.43 0.93 0.70 0.63 0.23 0.12 1.78 0.82 2.27 156.13
4 -20.99 33.24 23.12 -3290.00 -1150.49 10045.53 0.04 0.08 0.95 0.12 0.23 1.11 0.31 1.24 287.31
Weld SIZE width effective width DY1 DX1 DY2 DX2 AREA IXX IYY IZZ Rmax
Vertical 3.20 2.26 63.50 31.80 68.02 36.32 451.69 274321.53 101537.40 375858.92 38.56
Fx Fy Fz Mx My Mz (MPa) Sz_n Sy+Sx_s Smx_n Smy_n Smz_s Sn_sub S_shear Scombined SF
1.00 1528.07 191.82 -1567.77 7116.42 -43164.26 76936.65 5.73 5.63 3.80 15.74 21.23 25.26 26.86 52.93 6.71
2.00 1488.87 -324.49 235.90 9772.77 -65458.94 -78614.24 0.86 5.57 5.21 23.87 21.69 29.94 27.26 55.91 6.35
3.00 1289.66 160.19 -1392.81 19727.50 -29476.86 115943.10 5.09 4.75 10.52 10.75 31.99 26.36 36.74 68.88 5.15
4.00 1370.41 -395.85 -183.95 -10814.17 -52893.22 -123381.91 0.67 5.21 5.77 19.28 34.04 25.73 39.26 72.70 4.88
5.00 1531.25 -513.36 -1815.05 21828.98 41452.99 89856.23 6.63 5.90 11.64 15.11 24.79 33.39 30.70 62.78 5.65
6.00 1544.98 725.83 -200.74 -11282.29 69041.45 -91115.84 0.73 6.24 6.02 25.17 25.14 31.92 31.38 63.03 5.63
7.00 1186.09 -160.67 -1215.91 7177.40 30979.19 95417.73 4.44 4.37 3.83 11.29 26.33 19.57 30.70 56.66 6.27
8.00 1225.37 422.28 212.37 9330.60 47901.69 -99574.91 0.78 4.74 4.98 17.46 27.47 23.22 32.21 60.43 5.87
top section thicker plate
Weld SIZE width effective width DY1 DZ1 DY2 DZ2 AREA IZZ IYY IXX Rmax
3.20 2.26 200.00 38.10 204.52 42.62 1118.30 0.00 0.00
Fx Fy Fz Mx My Mz (MPa) Sx_shear Sy+Sz_s Smz_n Smy_n Smx_s Sn_sub S_shear Scombined SF
1.00 31848.00 0.00 0.00 0.00 0.00 0.00 28.48 0.00 0.00 0.00 0.00 28.48 49.33 7.20
Weld stress at the vertical position
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202014
Weld SIZE width effective width DY1 DX1 DY2 DX2 AREA IXX IYY IZZ Rmax Combine force Sy Su Sa
3.20 2.26 80.00 31.80 86.40 38.20 756.48 696362.60 186966.49 883329.09 47.23 355.00 470 235
absorber Fx Fy Fz Mx My Mz (MPa) Sz_n Sy+Sx_s Smx_n Smy_n Smz_s Sn_sub S_shear Scombined SF
1.00 2362.83 -379.05 -183.64 32262.48 116356.44 -65612.42 0.24 3.16 2.00 11.89 3.51 14.13 6.67 18.25 19.45
2.00 925.65 34.23 -58.02 5124.16 51015.98 3812.87 0.08 1.22 0.32 5.21 0.20 5.61 1.43 6.13 57.93
3.00 2290.47 356.49 -213.15 3918.29 111319.22 57474.44 0.28 3.06 0.24 11.37 3.07 11.90 6.14 15.95 22.25
4.00 2619.95 187.83 176.65 32023.23 -124420.65 -48150.49 0.23 3.47 1.99 -12.71 2.57 -10.49 6.05 14.82 23.95
5.00 800.30 -25.23 -0.75 4338.11 -46906.32 3054.12 0.00 1.06 0.27 -4.79 0.16 -4.52 1.22 4.99 71.11
6.00 2541.07 -152.60 287.06 -211.25 -111217.79 36098.92 0.38 3.37 -0.01 -11.36 1.93 -11.00 5.30 14.32 24.79
7.00 1957.98 362.94 -184.54 29659.31 -99773.77 -58138.58 0.24 2.63 1.84 -10.19 3.11 -8.11 5.74 12.83 27.67
8.00 488.75 -12.81 131.91 2317.57 -11263.05 1941.08 0.17 0.65 0.14 -1.15 0.10 -0.83 0.75 1.54 230.07
9.00 1974.86 -358.09 -224.78 285.63 -98673.23 55679.04 0.30 2.65 0.02 -10.08 2.98 -9.77 5.63 13.80 25.72
10.00 2122.59 -158.50 190.39 26492.99 101017.17 -40718.47 0.25 2.81 1.64 10.32 2.18 12.21 4.99 14.96 23.72
11.00 445.99 8.47 401.54 2188.83 14174.32 1901.71 0.53 0.59 0.14 1.45 0.10 2.11 0.69 2.43 146.08
12.00 2124.17 131.16 288.98 -1390.38 94385.06 33473.81 0.38 2.81 -0.09 9.64 1.79 9.94 4.60 12.74 27.86
Absorber has 12 weld connections
Weld stress at the vertical position
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
BTH equation (3-37)
> 2.4 (per ASME BTH -1 requirement)
15
Diagnal beam connection
Weld SIZE width effective width DY1 DX1 DY2 DX2 AREA IXX IYY IZZ Rmax
diagnal 3.20 2.26 24.15 31.80 28.67 36.32 273.64 34046.45 49815.70 83862.14 23.14
Fx Fy Fz Mx My Mz (MPa) Sz_n Sy+Sx_s Smx_n Smy_n Smz_s Sn_sub S_shear Scombined SF
1.00 1350.56 -662.96 -43.59 20764.97 62017.60 -38991.06 0.16 5.50 11.08 22.61 10.76 33.85 16.26 44.03 8.06
2.00 1192.64 704.06 105.10 -20509.72 56748.70 34131.59 0.38 5.06 10.94 20.69 9.42 32.02 14.48 40.67 8.73
3.00 1159.80 912.51 128.55 -18516.29 44280.42 -19752.49 0.47 5.39 9.88 16.14 5.45 26.49 10.84 32.47 10.93
4.00 1207.09 -898.73 145.27 16893.97 44617.25 20361.13 0.53 5.50 9.01 16.27 5.62 25.81 11.12 32.20 11.02
5.00 1571.30 -1460.81 -11.78 -25191.34 -59505.39 -41471.33 0.04 7.84 13.44 21.70 11.44 35.18 19.28 48.51 7.32
6.00 1598.74 1493.38 36.78 26847.63 -63074.30 40743.08 0.13 8.00 14.32 23.00 11.24 37.45 19.24 50.13 7.08
7.00 950.96 659.72 -158.01 17996.18 -45643.28 -15494.31 0.58 4.23 9.60 16.64 4.28 26.82 8.50 30.60 11.60
8.00 876.75 -725.91 14.58 -18501.06 -46826.69 19543.27 0.05 4.16 9.87 17.07 5.39 27.00 9.55 31.66 11.21
Weld stress at the vertical position
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202016
> 2.4 (per ASME BTH -1 requirement)
Connection at the vertical beam
Weld SIZE width effective width DY1 DX1 DY2 DX2 AREA IXX IYY IZZ Rmax
Vertical 3.20 2.26 63.50 31.80 68.02 36.32 451.69 274321.53 101537.40 375858.92 38.56
Fx Fy Fz Mx My Mz (MPa) Sz_n Sy+Sx_s Smx_n Smy_n Smz_s Sn_sub S_shear Scombined SF
1.00 1528.07 191.82 -1567.77 7116.42 -43164.26 76936.65 5.73 5.63 3.80 15.74 21.23 25.26 26.86 52.93 6.71
2.00 1488.87 -324.49 235.90 9772.77 -65458.94 -78614.24 0.86 5.57 5.21 23.87 21.69 29.94 27.26 55.91 6.35
3.00 1289.66 160.19 -1392.81 19727.50 -29476.86 115943.10 5.09 4.75 10.52 10.75 31.99 26.36 36.74 68.88 5.15
4.00 1370.41 -395.85 -183.95 -10814.17 -52893.22 -123381.91 0.67 5.21 5.77 19.28 34.04 25.73 39.26 72.70 4.88
5.00 1531.25 -513.36 -1815.05 21828.98 41452.99 89856.23 6.63 5.90 11.64 15.11 24.79 33.39 30.70 62.78 5.65
6.00 1544.98 725.83 -200.74 -11282.29 69041.45 -91115.84 0.73 6.24 6.02 25.17 25.14 31.92 31.38 63.03 5.63
7.00 1186.09 -160.67 -1215.91 7177.40 30979.19 95417.73 4.44 4.37 3.83 11.29 26.33 19.57 30.70 56.66 6.27
8.00 1225.37 422.28 212.37 9330.60 47901.69 -99574.91 0.78 4.74 4.98 17.46 27.47 23.22 32.21 60.43 5.87
Weld stress at the vertical position
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202017
> 2.4 (per ASME BTH-1 requirement)
Connection at the top
top section of beam lifting
Weld SIZE width effective width DY1 DZ1 DY2 DZ2 AREA IZZ IYY IXX Rmax
3.2 2.2624 62.285 50.8 66.8098 55.3248 532.1608 351962.76 262352.1121 614314.8739 43.3716
Fx Fy Fz Mx My Mz (MPa) Sx_n Sy+Sz_s Smz_n Smy_n Smx_s Sn_sub S_shear Scombined SF
1 -15150.53 10911.00 25.77 -1687.64 7775.42 2869.80 28.47 20.50 0.27 0.82 0.12 29.56 20.62 46.37 7.66
2 -15616.79 -11259.76 27.90 -4005.30 10783.18 -220.91 29.35 21.16 0.02 1.14 0.28 30.50 21.44 48.06 7.39
3 493.45 370.73 32.70 1678.50 -2133.93 6598.43 0.93 0.70 0.63 0.23 0.12 1.78 0.82 2.27 156.13
4 -20.99 33.24 23.12 -3290.00 -1150.49 10045.53 0.04 0.08 0.95 0.12 0.23 1.11 0.31 1.24 287.31
top section thicker plate
Weld SIZE width effective width DY1 DZ1 DY2 DZ2 AREA IZZ IYY IXX Rmax
3.20 2.26 200.00 38.10 204.52 42.62 1118.30 0.00 0.00
Fx Fy Fz Mx My Mz (MPa) Sx_shear Sy+Sz_s Smz_n Smy_n Smx_s Sn_sub S_shear Scombined SF
1.00 31848.00 0.00 0.00 0.00 0.00 0.00 28.48 0.00 0.00 0.00 0.00 28.48 49.33 7.20
Weld stress at the vertical position
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
SF>>2.4 required by ASME BTH-1
18
Comments/Discussion
• The shipping frame itself looks very adequate to satisfy the
BTH requirement.
• The weld design between the thicker plate (50 mm) and the
thin tubing wall(3.2 mm) needs to be refined and addressed
properly to meet the ASME BTH-1 requirement. It is working in
progress among the group members (George, Peter and
others).
• Looking into attachment plate connection.
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202019
Attachment Plate
Connection Study _ Part IIAng Lee
March 19, 2020
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202020
Attachment Plate
Connection area
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
M16 to M20 adaptor
79.6x50.8x12.7 mm SS 304 plate welded to APA tubing
M16 bolt SS 304(per Peter Sutcliffe)
Thread connection
Thread connection
21
Sketch from
NP79-01-03
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202022
GRAVITY LOAD IS HOLD BY THESE TWO PLATE_ LOWER SECTION
1 G load
1 G load =7659 N for one APA frame weight
6 absorber plates:Each of them is connected by THREEE springs with Kx, Ky and Kz , provided by Jake and Dan (PSL). THANK YOU!The spring stiffness is as follows:
X = 726 kN/mY = 726 kN/mZ = 2.742 MN/m
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
Top bracket is a “SLIP JOINT_SLIDING
23
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
The deflection of APA frame is about 4.5-2.5=~2 mm The vertical tubing has moved downward 1.66~1.9 mm (more like translation due to the spring attachment).It is consistent with X=7659 N/(726e3*6)=~1.75 mm (Good agreement !)
24
The FEA model indicates the stress is below ~125 Mpa << 355 MPa
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202025
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
Check the weld stress
W
e
l
d
S
I
Z
E
widtheffective
widthDX1 DZ1 DX2 DZ2 AREA IZZ IXX IYY Rmax
3.20 2.26 62.29 38.10 66.81 42.62 474.70 292083.22 144104.52 436187.74 39.62
Fx Fy Fz Mx My Mz (MPa) SY_nSx+Sz_
sSmz_n Smy_S Smx_N Sn_sub S_shear
Scombin
edSF
1
.
0
0
-2.53 -4130.60 -77.65 532030.00 -1347.90 53473.00 8.70 0.16 6.12 0.12 78.68 93.50 0.29 93.50 3.80
2
.
0
0
-10.71 -3554.30 -68.19 468380.00 6140.90 -99012.00 7.49 0.15 11.32 0.56 69.27 88.08 0.70 88.09 4.03
26
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
SS 304 Syield=205 MPa minSu=515 MPa min
M16X2 Bolt stress (MPa) SF=205/73=2.82
Adaptor (MPa) SF=205/72=2.85
27
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 2020
S355 carbon steelSyield=355 MPa min
Attachment plate S355; SF=355/88.68=4
28
DYNAMICS AND MODAL ANALYSIS
FOR APA FRAME
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202029
APA Frame _Modal Analysis
From “Design recommendations for APA transport frame and detector” by M. ZIMBRU, J-L. GRENARD, O. BELTRAMELLO (CERN)
APA Shipping Box Update (17-03-2020) :
The dynamic analyses of the APA detector inside the APA frame should be analysed in 3 steps
1. Modal analysis:
A modal analysis is required to check the decoupling of the APA detector and the APA frame.
Required:
• Eigenfrequencies + principal modal masses in the 3 directions of the APA detectors constrained at his interface with the APA frame.
The calculation should be run from 0 to 100 Hz or at least until we reach 90 % of the total mass.
• Eigenfrequencies + principal modal masses in the 3 directions of the APA frame + attenuator constrained at his interface with the truck. APA mass is modelled as asingle mass at COG.
The calculation should be run from 0 to 100 Hz or at least until we reach 90 % of the total mass.
• Eigenfrequencies + principal modal masses in the 3 directions of the APA frame + attenuator + APA detector constrained at his interface with the truck.
The calculation should be run from 0 to 100 Hz or at least until we reach 90 % of the total mass.
The attenuator stiffness in all 3 direction are mandatory for these analyses.
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202030
APA Frame _FEA model (loading and boundary condition)
FEA mass reaction =576.6 kg (~99.7%)
Ang Lee FEA Summery for APA Consortium Meeting March 30 20203/30/2020
1 G
Information provided by Daniel Wenman (PSL)
31
APA Frame _Modal Analysis _Model A
Mode 1 fn=11.76 Hz (in/out) mode shape is mostly perpendicular to the frame.
RATIO EFF. MASS TO TOTAL MASS
MODEFREQUENCY
(HZ)X Y Z
1 11.7861 2.00E-09 4.01E-06 0.387169
2 16.6865 1.28E-07 4.45E-01 3.54E-08
3 16.9827 4.82E-09 8.86352E-06 4.82E-06
4 28.7198 3.44E-08 3.03E-06 2.42E-01
5 34.5217 3.16E-08 6.96E-06 0.0339109
6 38.8151 9.22E-06 9.01E-07 3.85E-02
7 40.7882 3.80E-07 4.97E-03 3.35E-05
8 41.4788 4.15E-07 2.01E-07 6.35E-06
9 45.1899 7.82E-05 3.99E-07 6.54E-02
10 50.7935 0.443764 6.50E-07 4.68E-06
11 59.3438 6.61E-07 8.60E-06 7.53E-03
12 63.6246 2.27E-06 2.17E-05 1.02E-02
13 64.2536 3.35E-08 1.78E-01 3.92E-07
14 66.4298 7.05E-07 3.62E-08 2.01E-08
15 78.1044 1.25E-07 1.10E-01 1.49E-07
16 81.0604 5.13E-08 1.70E-08 7.05E-07
17 88.458 4.12E-07 3.07E-07 5.39E-02
18 92.9942 2.37E-08 1.83E-07 2.43E-03
19 97.8719 3.67E-08 0.164955 3.76E-07
20 109.005 2.28E-10 6.81E-09 3.47E-02
21 114.115 3.93E-09 7.74E-04 1.21E-08
22 117.425 2.58E-08 6.55E-09 2.44E-07
23 132.484 9.66E-08 2.90E-09 6.96E-08
24 133.261 4.58E-08 2.77E-08 2.91E-07
25 139.231 2.12E-08 1.91E-08 1.37E-02
26 156.431 3.36E-07 3.86E-07 5.02E-08
27 165.545 6.18E-07 2.42E-05 6.82E-08
28 165.731 7.75E-12 1.65E-02 6.06E-07
29 169.65 9.34E-08 4.15E-07 2.63E-02
30 185.552 7.58E-04 1.43E-08 3.22E-06
----- --------------- ------------------- ------------------- -------------------
sum 0.444616 0.920486 0.915319
Ang Lee FEA Summery for APA Consortium Meeting March 30 20203/30/202032
APA Frame _Modal Analysis _Model A
Mode 3 fn=16.9827 Hz. mode shape mostly is in twist motion.
RATIO EFF. MASS TO TOTAL MASS
MODEFREQUENCY
(HZ)X Y Z
1 11.7861 2.00E-09 4.01E-06 0.387169
2 16.6865 1.28E-07 4.45E-01 3.54E-08
3 16.9827 4.82E-09 8.86352E-06 4.82E-06
4 28.7198 3.44E-08 3.03E-06 2.42E-01
5 34.5217 3.16E-08 6.96E-06 0.0339109
6 38.8151 9.22E-06 9.01E-07 3.85E-02
7 40.7882 3.80E-07 4.97E-03 3.35E-05
8 41.4788 4.15E-07 2.01E-07 6.35E-06
9 45.1899 7.82E-05 3.99E-07 6.54E-02
10 50.7935 0.443764 6.50E-07 4.68E-06
11 59.3438 6.61E-07 8.60E-06 7.53E-03
12 63.6246 2.27E-06 2.17E-05 1.02E-02
13 64.2536 3.35E-08 1.78E-01 3.92E-07
14 66.4298 7.05E-07 3.62E-08 2.01E-08
15 78.1044 1.25E-07 1.10E-01 1.49E-07
16 81.0604 5.13E-08 1.70E-08 7.05E-07
17 88.458 4.12E-07 3.07E-07 5.39E-02
18 92.9942 2.37E-08 1.83E-07 2.43E-03
19 97.8719 3.67E-08 0.164955 3.76E-07
20 109.005 2.28E-10 6.81E-09 3.47E-02
21 114.115 3.93E-09 7.74E-04 1.21E-08
22 117.425 2.58E-08 6.55E-09 2.44E-07
23 132.484 9.66E-08 2.90E-09 6.96E-08
24 133.261 4.58E-08 2.77E-08 2.91E-07
25 139.231 2.12E-08 1.91E-08 1.37E-02
26 156.431 3.36E-07 3.86E-07 5.02E-08
27 165.545 6.18E-07 2.42E-05 6.82E-08
28 165.731 7.75E-12 1.65E-02 6.06E-07
29 169.65 9.34E-08 4.15E-07 2.63E-02
30 185.552 7.58E-04 1.43E-08 3.22E-06
----- --------------- ------------------- ------------------- -------------------
sum 0.444616 0.920486 0.915319
Mode 2: fn=16.686 Hz (up/down).The mode shape is mostly parallel (in plane) to the frame.
Ang Lee FEA Summery for APA Consortium Meeting March 30 20203/30/2020
THESE RESULTS WILL BE PART OF IMPUT INFORMATION FOR THE AVM VENDOR TO DESIGN A SUITABLE SHOCK ABSORBER
33
Summery/Discussion
• We’ve done a lot of FEA analysis works in a short period of the time.
• Results so far indicates that APA shipping frame is well designed in terms of the
its structural strength per ASME BTH requirement.
• The analysis work will be continuously iterated/updated as the current design
progressing (ex: once the shock absorber is defined; the weldment around the
thick/thin plates has been finalized; and others modifications needed).
• It is truly a TEAM WORK! Thank You All!
3/30/2020 Ang Lee FEA Summery for APA Consortium Meeting March 30 202034
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