eigen-value calculation of continuous beams
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
Citation pour cette source
E. Cheynet (2024). eigen-value calculation of continuous beams (https://github.com/ECheynet/eigenBeam/releases/tag/v1.6), GitHub. Extrait(e) le .
E. Cheynet. ECheynet/EigenBeam v1.6. Zenodo, 2020, doi:10.5281/ZENODO.3817909.
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxCatégories
- Sciences > Mathematics > Algebra > Linear Algebra > Eigenvalues & Eigenvectors >
- Engineering > Mechanical Engineering > Acoustics, Noise and Vibration >
Tags
Remerciements
A inspiré : Mode shapes extraction by time domain decomposition (TDD), Dynamic response of a line-like structure to a random load, Automated Frequency Domain Decomposition (AFDD)
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Version | Publié le | Notes de version | |
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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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