DSVM3

DSVM3

Modal Analysis of Annular Plate

Overview

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Reference:	R. J. Blevins, Formula for Natural Frequency and Mode Shape, Van Nostrand Reinhold Company Inc., 1979, Table 11-2, Case 4, pg. 427
Analysis Type(s):	Free Vibration Analysis
Element Type(s):	Solid

Test Case

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An assembly of three annular plates has cylindrical support (fixed in the radial, tangential, and axial directions) applied on the cylindrical surface of the hole. Sizing control with element size of 0.5” is applied to the cylindrical surface of the hole.

Find the first six modes of natural frequencies.

Figure 3.1 Schematic

Material Properties

E = 2.9008e7 psi

ν = 0.3

ρ = 0.28383 lbm/in³

Geometric Properties

Inner diameter of inner plate = 20"

Inner diameter of middle plate = 28"

Inner diameter of outer plate = 34"

Outer diameter of outer plate = 40"

Thickness of all plates = 1"

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Results Comparison

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Results	Target	DS	Error (%)
1st Frequency Mode (Hz)	310.911	310.16	-0.242
2nd Frequency Mode (Hz)	318.086	315.56	-0.794
3rd Frequency Mode (Hz)	318.086	315.59	-0.785
4th Frequency Mode (Hz)	351.569	346.78	-1.362
5th Frequency Mode (Hz)	351.569	347.04	-1.288
6th Frequency Mode (Hz)	442.451	437.02	-1.227