eigen-value calculation of continuous beams
Compute the eigenfrequencies and mode shapes of a continuous beam with different boundary conditions
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Eigen-value calculation of continuous beams
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 (2026). 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.
General Information
- Version 1.6 (186 KB)
-
View License on GitHub
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 1.6 | See release notes for this release on GitHub: https://github.com/ECheynet/eigenBeam/releases/tag/v1.6 |
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| 1.5 | See release notes for this release on GitHub: https://github.com/ECheynet/eigenBeam/releases/tag/1.5 |
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| 1.4 | Added project website |
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| 1.3.0.0 | More robust function + improved description |
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| 1.2.0.0 | -Description |
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| 1.1.0.0 | - HTML Example included |
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| 1.0.0.0 | Add picture
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