SS-V: 2070 Cantilever Beam

Test No. VM08 Perform normal mode dynamic analysis of a cantilevered beam.

Definition

Figure 1.


The left end is fully constrained; the back face has a slider constraint to remove the third dimension.

The units are SI.

The material properties are:
Properties
Value
Modulus of Elasticity
2e11 N/m2
Poisson's Ratio
0.3
Mass density
8000 kg/m3

Results

The following table summarizes the modes.
Reference Solution SimSolid % Difference
Mode 2 [Hz] 6.327 6.323 -0.06%
Mode 3 [Hz] 17.720 17.683 -0.20%
Mode 4 [Hz] 34.720 34.596 -0.36%
Mode 5 [Hz] 57.390 57.068 -0.56%
Mode 6 [Hz] 85.730 85.024 -0.82%
1 NAFEMS Finite Element Methods & Standards, Abbassian, F., Dawswell, D. J., and Knowles, N. C. Selected Benchmarks for Natural Frequency Analysis Test No. 71. Glasgow: NAFEMS, Nov., 1987.