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MAE 501 INDEPENDENT STUDY Modal Analysis of a Rectangular Plate By Sasi Bhushan Beera #35763829
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### Transcript of Modal Analysis of a Rectangular Plate - PPT

• 1. MAE 501INDEPENDENT STUDYModal Analysis of a Rectangular Plate
By
Sasi BhushanBeera
#35763829

2. Problem Details
Problem statement:
To determine the lowest six non-zero frequencies and associated mode shapes for a rectangular plate for three different thickness of the plate.
Geometry of the plate:
Rectangular Plate with length 2a, width 2b and thickness h.
= a/b=2
= h/b = 1/4, 1/16, 1/64
a = 20m, b = 10 mm, h = 2.5mm, 0.625mm, 0.15625m
Thus, the dimensions of the plate are as follows:
Length of the plate = 40mm
Width of the plate = 20mm
Thickness of the plate = 2.5mm, 0.625mm, 0.15625mm
3. Problem Details
Material Properties of the plate:

• = Poissons ratio = 0.05

4. Material of the plate : Cast Iron 5. E = Modulus of Elasticity = 139.7GPa 6. = Density = 7300 kg/m3Boundary Conditions:

• The two adjacent edges of the rectangular plate are fixed while the other two are free.

Element Details:

• The modal analysis is performed using two types of elements i.e. solid and shell.