eigen-value calculation of continuous beams

Compute the eigenfrequencies and mode shapes of a continuous beam with different boundary conditions

Eigen-value calculation of continuous beams

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