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Vibration Modes of an Elliptic Membrane

by Howard Wilson

 

07 Dec 2004 (Updated 16 Dec 2004)

Elliptic membrane frequencies and mode shapes are analyzed using Mathieu functions.

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Description

The modal functions of an elliptic membrane with fixed edges are expressed as products of angular and radial Mathieu functions with the natural frequencies being found in terms of the zeros of the radial functions. Routines to compute functions ce,se, Mc1 and Ms1 are provided. Mode shapes are presented using either animated surface plots or contour plots. The main driver program and associated functions are explained by using the command 'type contents' in the related workspace.

MATLAB release MATLAB 7.0.1 (R14SP1)
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Comments and Ratings (2)
14 Dec 2004 Jim Roller

MATLAB 6.5 error:
line 46 of matuwr.m
change rts to rts' (take the transpose)
Our MATLAB expert: Dr. Steven Long quickly discovered this problem when running 6.5

16 Nov 2005 Valeri Kroumov  
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Updates
16 Dec 2004

Assigning a column vector into a row of a matrix works in the MATLAB 7.1, but a user found that my program gave an error in version 6.5. I had to transpose the vector first. The fix was simple.

Tag Activity for this File
Tag Applied By Date/Time
mechanical modeling Howard Wilson 22 Oct 2008 07:37:33
mathematics Howard Wilson 22 Oct 2008 07:37:33
vibration modes Howard Wilson 22 Oct 2008 07:37:33
elliptical membrane Howard Wilson 22 Oct 2008 07:37:33

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