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
E. Cheynet (2021). 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.
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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