eigen-value calculation of continuous beams
Updated Fri, 08 May 2020 20:10:12 +0000
Eigen-value calculation of continuous beams
The eigenfrequencies and mode shapes of a simple beam are calculated based on . 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:
Two Geometries are available:
- rectangular beam
- 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.
 Engineering vibration, Daniel J. Inman (3rd edition), near page 500
E. Cheynet (2023). 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.
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
- Sciences > Mathematics > Algebra > Linear Algebra > Eigenvalues & Eigenvectors >
- Engineering > Mechanical Engineering > Acoustics, Noise and Vibration >
Inspired: 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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See release notes for this release on GitHub: https://github.com/ECheynet/eigenBeam/releases/tag/v1.6
See release notes for this release on GitHub: https://github.com/ECheynet/eigenBeam/releases/tag/1.5
Added project website
More robust function + improved description
- HTML Example included