4.4.4 FV15: Clamped thin rhombic plate

Product: ABAQUS/Standard

Elements tested

S8R5 STRI65

Problem description

Material:

Young's modulus = 200 GPa, Poisson's ratio = 0.3, density = 8000 kg/m³.

Boundary conditions:

at all nodes. along all edges.

Gauss integration is used for the shell cross-section for element STRI65.

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test FV15 from NAFEMS publication TNSB, Rev. 3, “The Standard NAFEMS Benchmarks,” October 1990.

Mode shapes predicted by ABAQUS

The contour plots were generated by setting the maximum and minimum contour levels close to zero. Where contour levels coincided with the element boundaries, the maximum contour level was increased and the minimum contour level was decreased appropriately.

Results and discussion

The results are shown in the following table. The values enclosed in parentheses are percentage differences with respect to the reference solution.

	Mode
	1	2	3	4	5	6
NAFEMS	7.938	12.835	17.941	19.133	24.009	27.922
S8R5	7.902 (–0.45)	12.884 (0.38)	18.027 (0.48)	18.989 (–0.75)	24.119 (0.46)	28.234 (1.12)
STR165	7.935 (–0.04)	12.804 (–0.24)	18.095 (0.86)	19.267 (–0.70)	24.428 (1.75)	27.945 (0.08)

Input files

nfv1558x.inp

S8R5 elements.

nfv1556x.inp

STRI65 elements.