E. Cheynet
2020-05-08
<p>Summary</p>
<p>The eigenfrequencies and mode shapes of a simple beam are calculated based on [1]. During the calculation procedure, It is assumed that:</p>
<p>*There is no structural coupling between the different degrees of freedom of the beam<br>
*The beam is homogeneous<br>
*The beam is un-damped<br>
* there are free oscillations</p>
<p>Four boundaries conditions are included:</p>
<p>*pinned-pinned<br>
*clamped-free<br>
*clamped-clamped<br>
*clamped-pinned</p>
<p>Two Geometries are available:</p>
<p>*rectangular beam<br>
*cylinder</p>
<p>Content:</p>
<p>eigenModes.m: a function used to compute the eigenfrequencies and modes shapes of a continuous beam with different boundaries conditions.<br>
Example.m is an application of this function.</p>
<p>References</p>
<p>[1] Engineering vibration, Daniel J. Inman (3rd edition), near page 500</p>
https://doi.org/10.5281/zenodo.3817909
oai:zenodo.org:3817909
Zenodo
https://github.com/ECheynet/eigenBeam/tree/v1.6
https://doi.org/10.5281/zenodo.3817908
info:eu-repo/semantics/openAccess
Other (Open)
Eigen-value calculation of continuous beams
info:eu-repo/semantics/other