Тест 7.3 Round plate on a single-sided elastic base
Verification of the LIRA-FEM software / Тест 7.3 Round plate on a single-sided elastic base / Analytical and numerical solutions: P. Panagiotopoulos Inequalities in Mechanics and their Applications, Moscow: Mir, 1989, p. 384.
Analytical and numerical solution: P. Panagiotopoulos Inequalities in Mechanics and their Applications, Moscow: Mir, 1989, p. 384.
Geometry::
 |
R = 6 м; h = 0.06 м. |
Material characteristics: Е = 2.1 х 107 т/м2, ν = 0.
Boundary conditions: Одностороннее упругое основание.
Loads: q = 0.06 т/м2, torque distributed over the boundary
M = 0.0675α тм/м.
The structure was modeled by triangular and quadrangular slab finite elements (FE - 42 and 44), the breakdown - radial-ring, 40 x 40 FE
CALCULATION RESULTS:
|
α |
The desired value |
Analytical solution |
Numerical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
1 |
j, рад x 105 |
7,5 |
7,29 |
7,25 |
3,33 |
|
2 |
23,0 |
22,236 |
22,15 |
3,7 | |
|
3 |
43,9 |
43,18 |
43,67 |
0,52 | |
|
4 |
71,5 |
72,38 |
72,0 |
0,7 | |
|
5 |
107,14 |
107,18 |
107,0 |
0,13 | |
|
5,1 |
126,5 |
126,12 |
118,7 |
6,2 | |
|
1 |
Contact area,
|
3,78 |
3,70 |
3,78 |
0 |
|
2 |
2,64 |
2,58 |
2,64 |
0 | |
|
3 |
1,56 |
1,62 |
1,56 |
0 | |
|
4 |
0,54 |
0,60 |
0,54 |
0 | |
|
5 |
0 |
0 |
0 |
0 | |
|
5,1 |
no contact |
no contact |
no contact |
|
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