Test No. VD05View random response of a simply supported
square plate subjected to uniform forced vibration.
Definition
A simply supported thin square plate 10 x 10 x 0.05 m is subject to uniform pressure
P=100 Pa which forces random vibrations with uniform Power Spectral Density function
("white noise").Figure 1.
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
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 2).Figure 2.
Peak response is reached when excitation frequency becomes equal to
first natural frequency of the plate. Figure 3 shows PSD response for Y-displacement in picked point with
coordinates [m] X = 4.9627, Y = 0.05, Z = -5.0418.Figure 3. Figure 4. Distribution of Y-displacement PSD
The following table contains peak response comparison.