Test No. VD03View transient 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 suddenly applied
uniform pressure P=100 Pa which remains constant in time. Find peak dynamics
response of the plate.
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 1).Figure 1.
The following table contains values at peak.
Peak Time, sec
Deflection Y, mm
Surface Stress, MPa
0.213
-3.46
2.311
SimSolid, solid model
0.210
-3.52
2.41
Reference, thin plate model
Figure 2. Transient Response Evolution in the Plate Center
1 Test 13T from
NAFEMS Publication R0016, “Selected Benchmarks for Forced Vibration” J. Maguire,
D.J. Dawswell, L. Gould
