Тест 5.2 Thin Plate
Verification of the LIRA-FEM software / Тест 5.2 Thin Plate / Аналитическое решение: M.V. Barton, “Vibration of rectangular and skew cantilever plates”, Journal of Applied Mechanics, vol. 18, 1951, p. 129 – 134.
Analytical solution: M.V. Barton, “Vibration of rectangular and skew cantilever plates”, Journal of Applied Mechanics, vol. 18, 1951, p. 129 – 134.
Geometry:
 |
Сторона: a = Координаты точек, м
A B C D x 0 1 1 0 y 0 0 1 1 z 0 0 0 0 |
Material characteristics: Е = 2.1 х 1011 Па, v = 0.3, ρ = 7800 кг/м3.
Boundary conditions:
1. Side AB: pinched (u = v = w = 0; θX = θY = θZ = 0).
2. Свободная плита.
Loads: For modal analysis
CALCULATION RESULTS:
|
Порядок формы |
Частота, Гц |
Погрешность,% | |
|
Analytical solution |
Calculation results (LIRA) | ||
|
Plate jammed on one side | |||
|
1 |
8,7266 |
8,6646 |
0,71 |
|
2 |
21,3042 |
21,1988 |
0,5 |
|
3 |
53,5542 |
52,9443 |
1,14 |
|
4 |
68,2984 |
67,4643 |
1,22 |
|
5 |
77,7448 |
76,924 |
1,06 |
|
6 |
136,0471 |
134,053 |
1,47 |
|
Свободная плита | |||
|
1, 2, 3, 4, 5, 6 |
0 |
1,14 |
|
|
7 |
33,7119 |
33,5532 |
0,47 |
|
8 |
49,4558 |
48,5638 |
1,8 |
|
9 |
61,0513 |
60,2526 |
1,31 |
|
10 |
87,5160 |
86,2068 |
1,5 |
|
11 |
87,5160 |
86,2068 |
1,5 |
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