SS-V: 2060 In-plane Vibration of Pin-ended Cross
Test No. VM07Find the first eight modal frequencies for in-plane vibration of a cross with pin joints at the ends.
Definition
Figure 1.
Pins are simulated via zero displacements applied to a straight line. The front surface of the cross is fixed from out-of-plane displacements.
The units are SI.
The material properties are:
- Properties
- Value
- Modulus of Elasticity
- 2e+11 N/m2
- Poisson's Ratio
- 0.3
- Mass density
- 8000 kg/m3
Results
The following table summarizes the
modes.
| Reference Solution | SimSolid | % Difference | |
|---|---|---|---|
| Mode 1 [Hz] | 11.336 | 11.312 | -0.21% |
| Mode 2 [Hz] | 17.709 | 17.810 | 0.57% |
| Mode 3 [Hz] | 17.709 | 17.840 | 0.74% |
| Mode 4 [Hz] | 17.709 | 17.840 | 0.74% |
| Mode 5 [Hz] | 45.345 | 45.130 | -0.47% |
| Mode 6 [Hz] | 57.390 | 57.360 | -0.05% |
| Mode 7 [Hz] | 57.390 | 57.370 | -0.03% |
| Mode 8 [Hz] | 57.390 | 57.550 | -0.28% |
1 NAFEMS, SBNFA (November 1987), Test
1.