# SS-V: 6000 Simply Supported Thin Square Plate - Harmonic Forced Vibration Response

Test No. VD01View transient response of a simply supported square plate subjected to harmonic forced vibration.

## Definition

- $\omega =2\ast PI\ast f$
- $f$
- Excitation frequency.

The excitation frequency changes in range from 0 to just above first resonant frequency of the plate.

Sixteen (16) modes are used to approximate dynamics solution and 2% modal damping is assumed in all modes.

**Properties****Value**- Modulus of Elasticity
- 2.e+11 Pa
- Poisson's Ratio
- 0.3
- Density
- 8.e+3 kg/m
^{3}

## Results

Deflection Y, mm | Surface Stress, MPa | |
---|---|---|

45.34 | 31.86 | SimSolid, solid model |

45.42 | 35.08 | Reference, thin plate model |

^{1}Test 13H from NAFEMS Publication R0016, “Selected Benchmarks for Forced Vibration” J. Maguire, D.J. Dawswell, L. Gould