# SS-V: 2010 In-plane Vibration of a Cantilever Plate

Test No. VM01 Find the fundamental frequency for in-plane vibration of a cantilevered plate.

## Definition

To exclude out-of-plane vibration of the plate, its surface is constrained in the
z-direction (U_{z} = 0).

The units are IPS.

The material properties are:

**Properties****Value**- Modulus of Elasticity
- 3e+7 psi
- Poisson's Ratio
- 0.3
- Mass density
- 7.28e
^{-4}lb - s^{2}/in^{4}

## Results

The following table summarizes the
frequency results.

Theory | SimSolid | % Difference | |
---|---|---|---|

Fundamental Frequency [Hz] | 101.33 | 100.31 | -1.01% |

^{1}Roark, R.J. and Young, W.C., Formula for Stress and Strain, (New York:McGraw-Hill Book 6, 1982) pp. 576-578.