SS-V: 6030 Simply Supported Thin Square Plate - Frequency
Response
Test No. VD04 View frequency response of a simply
supported square plate.
Definition
A simply supported thin square plate 10 x 10 x 0.05 m is subject to uniform pressure
P=100 Pa which changes in time as the following function.
Where,
Excitation frequency.
Sixteen (16) modes are used to approximate dynamics solution and 2% modal damping is
assumed in all modes.
The material properties are:
Properties
Value
Modulus of Elasticity
2.e+11 Pa
Poisson's Ratio
0.3
Density
8.e+3 kg/m3
Note: This test is similar to Test VD01, but it is solved in frequency
domain.
Results
The plate is simulated as a 3D solid body. Spot-lines were
created at the mid-plane of the plate in order to apply hinge supports (Figure 1).Figure 1.
Peak response is reached when excitation frequency becomes equal to
first natural frequency of the plate. Figure 2 shows frequency sweep result for
Y-displacement amplitude in picked point with coordinates [m] X = 4.9469, Y = 0.05.,
Z = -4.9158.Figure 2. Figure 3.
The following table contains peak response comparison.
Deflection Y Amplitude,
mm
Surface Stress Amplitude,
MPa
45.68
32.08
SimSolid, 3D 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
