These Matlab scripts calculate the natural frequencies of a beam via the finite element method: beam_base_accel_fea.zip

They also have options for base excitation:

1. frequency response function

2. half-sine base input

3. arbitrary base input

A ramp invariant digital recursive relationship is used for the case of arbitrary base excitation.

The main function is: beam_base_accel_fea.m

The remaining functions are supporting functions.

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The reference papers are:

modal_enforced_motion_beam_transient.pdf

beam.pdf

modal_enforced_motion_ramp_invariant.pdf

gencoord.pdf

beam_FEM.pdf

The numerical engine is taken from the applied force model because the temporal response is needed in its modal absolute form. See: Modal Transient Analysis of a System Subjected to an Applied Force via a Ramp Invariant Digital Recursive Filtering Relationship: force_ramp_invariant.pdf

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See also:

Beam Bending Natural Frequencies and Modeshapes

Modal Transient Numerical Engine

– Tom Irvine

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