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Eigen-value calculation of continuous beams

E. Cheynet

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

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