SS-V: 2080 Circular Ring - In-plane and Out-of-plane Vibration

Test No. VM09 Perform normal mode dynamic analysis of an unconstrained circular ring.

Definition

Figure 1.


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 SimSolid % Difference NAFEMS % Difference
Mode 7, 8 out-of-plane 51.850 51.484 -0.71% 52.290 -1.55%
Mode 9, 10 in-plane 53.380 53.153 -0.43% 53.970 -1.51%
Mode 11, 12 out-of-plane 148.800 146.740 -1.38% 149.700 -1.98%
Mode 13, 14 in-plane 151.000 149.490 -1.00% 152.400 -1.91%
Mode 15 out-of-plane 287.000 280.660 -2.21% 288.300 -2.65%
Mode 16 in-plane 289.500 280.660 -3.05% 288.300 -2.65%
1 NAFEMS Finite Element Methods & Standards, Abbassian, F., Dawswell, D. J., and Knowles, N. C. Selected Benchmarks for Natural Frequency Analysis, Test No. 6. Glasgow: NAFEMS, Nov, 1987.