eigen-value calculation of continuous beams
Updated 8 May 2020
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 (2022). 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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