4.4.2 FV4: Cantilever with off-center point masses

Product: ABAQUS/Standard

Elements tested

B32 B33

Problem description

Material:

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

Boundary conditions:

All displacements are zero at A.

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test FV4 from NAFEMS publication TNSB, Rev. 3, “The Standard NAFEMS Benchmarks,” October 1990.

Mode shapes predicted by ABAQUS

(Dashed lines represent the undeformed configuration.)

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	1.723	1.727	7.413	9.972	18.155	26.957
B32	1.722 (–0.06)	1.726 (–0.06)	7.412 (–0.01)	9.955 (–0.17)	18.174 (0.10)	27.053 (0.36)
B33	1.723 (0.00)	1.727 (0.00)	7.414 (0.01)	9.975 (0.03)	18.187 (0.18)	27.001 (0.16)

Input files

nfv4x32x.inp

B32 elements.

nfv4x33x.inp

B33 elements.