SS-V: 6030 Simply Supported Thin Square Plate - Frequency Response

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.(1)

$$P=100\ast \sin \left(\omega \ast t\right)$$

Where,

$\omega =2\ast PI\ast f$

$f$

Excitation frequency.

The material properties are:

Properties

Value

Modulus of Elasticity

2.e+11 Pa

Poisson's Ratio

0.3

Density

8.e+3 kg/m³

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.