Тест 5.3 Articulated rectangular plate

Analytical solution: M.V. Barton, “Vibration of rectangular and skew cantilever plates”, Journal of Applied Mechanics, vol. 18, 1951, p. 129 – 134.

Geometry:

Length: a = 1.5 м Width: b = 1 м Thickness: t = 0.01 м Point coordinates м A B C D x 0 0 1 1 y 0 1.5 1.5 0 z 0 0 0 0

Material characteristics: Е=2.1 х 10¹¹ Па, v=0.3, ρ=7800 кг/м³.

Boundary conditions: All sides are articulated.

Loads: For modal analysis.

CALCULATION RESULTS:

Order of form	Frequency, Hz		Uncertainty,%
	Analytical solution	Calculation results (LIRA)
1	35,63	35,575	0,15
2	68,51	68,333	0,26
3	109,62	109,397	0,2
4	123,32	122,945	0,3
5	142,51	141,686	0,58
6	197,32	195,611	0,87

Preview image: Array

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