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eigen-value calculation of continuous beams

version 1.6 (185 KB) by E. Cheynet
Compute the eigenfrequencies and mode shapes of a continuous beam with different boundary conditions

15 Downloads

Updated 08 May 2020

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Summary

The eigenfrequencies and mode shapes of a simple beam are calculated based on [1]. 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

Four boundaries conditions are included:

*pinned-pinned
*clamped-free
*clamped-clamped
*clamped-pinned

Two Geometries are available:

*rectangular beam
*cylinder

Content:

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.

References

[1] Engineering vibration, Daniel J. Inman (3rd edition), near page 500

Cite As

E. Cheynet (2020). eigen-value calculation of continuous beams (https://github.com/ECheynet/eigenBeam/releases/tag/v1.6), GitHub. Retrieved .

E. Cheynet. ECheynet/EigenBeam v1.6. Zenodo, 2020, doi:10.5281/ZENODO.3817909.

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Comments and Ratings (2)

Ano

Haosheng Liu

MATLAB Release Compatibility
Created with R2019b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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