FV4: Cantilever with off-center point masses

This problem provides evidence that Abaqus can reproduce the result from the benchmark defined by NAFEMS and cited as the reference solution.

This page discusses:

ProductsAbaqus/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
123456
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)