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eigen-value calculation of continuous beams

version 1.4 (112 KB) by E. Cheynet
Compute the eigenfrequencies and mode shapes of a continuous beam with different BCs.

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Updated 03 Mar 2019

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The eigenfrequencies and mode shapes of a simple beam are calculated based on [1]. Two files are attached:
- eigenModes.m: a function used to compute the eigenfrequencies and modes shapes of a continuous beam with different boundaries conditions.
- Example.m is an application of this function.
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4 boundaries conditions are included:
- pinned-pinned
- clamped-free
- clamped-clamped
- clamped-pinned
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2 Geometries:
- rectangular beam
- cylinder
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During the calculation procedure, It is assumed that:
- There is no structural coupling between the different degrees of freedom of the beam
- The beam is homogeneous
- The beam is un-damped
- there are free oscillations
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[1] Engineering vibration, Daniel J. Inman (3rd edition), near page 500

Cite As

E. Cheynet (2019). eigen-value calculation of continuous beams (https://www.mathworks.com/matlabcentral/fileexchange/52075-eigen-value-calculation-of-continuous-beams), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (2)

Ano

Updates

1.4

Added project website

1.3.0.0

More robust function + improved description

1.2.0.0

-Description

1.1.0.0

- HTML Example included

1.0.0.0

-typo

1.0.0.0

Add picture

MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
Windows macOS Linux