SS-V: 2030 Free Thin Square Plate

Test No. VM04 Determine the first fourteen modal frequencies for a free thin square plate.

Definition

Figure 1.


The units are SI.

The material properties are:
Properties
Value
Modulus of Elasticity
2e+11 Pa
Poisson's Ratio
0.3
Mass density
8.3e3 kg/m3

Results*

The following table summarizes the modes.
Theory SimSolid % Difference
Flexible mode 1 [Hz] 1.622 1.618 -0.25%
Flexible mode 2 [Hz] 2.360 2.358 -0.08%
Flexible mode 3 [Hz] 2.922 2.920 -0.08%
Flexible mode 4 [Hz] 4.190 4.177 -0.31%
Flexible mode 5 [Hz] 4.190 4.177 -0.31%
Flexible mode 6 [Hz] 7.356 7.347 -0.12%
Flexible mode 7 [Hz] 7.356 7.347 -0.12%
Flexible mode 8 [Hz] 7.668 7.628 -0.52%
Flexible mode 9 [Hz] NA 8.308
Flexible mode 10 [Hz] NA 9.259
Flexible mode 11 [Hz] NA 12.607
Flexible mode 12 [Hz] NA 12.609
Flexible mode 13 [Hz] NA 14.075
Flexible mode 14 [Hz] NA 14.715

*Modes 4-5 and 6-7 are not available in NAFEMS solution.

1 The Standard NAFEMS Benchmarks TNSB, Rev. 3, 5 October, 1990.
2 Iguchi S. Biegeschwingungen and Klangfiguren der Vierseitg freien rechteckigen Platte. Ing. - Archiv, Bd 21, p. 5-6, 1953.