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

Figure 1.


To exclude out-of-plane vibration of the plate, its surface is constrained in the z-direction (Uz = 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-4lb - s2/in4

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.