# SS-V: 6010 Simply Supported Thin Square Plate - Periodic Forced Vibration Response

Test No. VD02View transient response of a simply supported square plate subjected to periodic forced vibration .

## Definition

- $\omega =2\ast PI\ast f$
- $f=1.2Hz$
- Excitation frequency.

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

- $P=100\ast \mathrm{sin}\left(\omega \ast t\right)$ to the top surface of the plate, and
- $P=-100\ast \mathrm{sin}\left(3\omega \ast t\right)$ to the bottom surface of the plate

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

-2.886 | 2.062 | SimSolid, solid model |

-2.863 | 2.018 | Reference, thin plate model |

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