10.5281/zenodo.3817909
https://zenodo.org/records/3817909
oai:zenodo.org:3817909
E. Cheynet
E. Cheynet
0000-0002-4854-1469
University of Bergen
Eigen-value calculation of continuous beams
Zenodo
2020
2020-05-08
https://github.com/ECheynet/eigenBeam/tree/v1.6
10.5281/zenodo.3817908
v1.6
Other (Open)
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