Vibration Modes of an Elliptic Membrane
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Modal functions and natural frequencies for an elliptic membrane are computed using Mathieu functions. Symmetric and anti-symmetric modes with Dirichlet or Neumann boundary conditions are allowed. Graphics animation or contour plots of the mode shapes are provided. The command listfunctions describes the workspace contents and the command open('MembranePaper.pdf') shows a document describing the mathematical formulation. Function runelip is the main driver program. The code runs under MATLAB 8.3 (R2014a)
Cite As
Howard Wilson (2024). Vibration Modes of an Elliptic Membrane (https://www.mathworks.com/matlabcentral/fileexchange/6500-vibration-modes-of-an-elliptic-membrane), MATLAB Central File Exchange. Retrieved .
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- Control Systems > Control System Toolbox > Linear Analysis > Stability Analysis > Pole and Zero Locations >
- Engineering > Mechanical Engineering > Acoustics, Noise and Vibration >
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elipap6/elipvibs2014/
Version | Published | Release Notes | |
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1.1.0.0 | The new version includes Neumann boundary conditions and some argument list changes in the Mathieu functions reflecting new argument list requirements on Bessel functions. |
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1.0.0.0 | 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. |