Semidefinite Two-degree-of-freedom System Subjected to a Sinusoidal Force

Here is a paper which gives a derivation of the equations of motion:  semidefinite_force.pdf

It also covers the transfer functions which can be calculated if the rigid-body mode is omitted.

Here is a Matlab script:  semidefinite_force.zip

The main script is:  semidefinite_force.m

The remaining scripts are supporting functions.

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See also:  Two-degree-of-freedom Systems

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– Tom Irvine