I would like to validate a method for developing quasi-analytic nonlinear expressions. Therefore I desire an analytic expression for a 3 dof. mechanical forced system.
My initial searches haven't come up with anything, so any tips/references would be highly appriciated.
Linearize the nonlinear functions at the expected operating point or break up into piecewise linear functions, i.e different slopes for different ranges.
As far as the 3 dof system, set-up the equations of motion, i.e. differential equations. Solve with Laplace transforms. The forcing function(s) will need to be expressed as a function of time.
See book, Modeling and Analysis of Dynamic Systems, by Close, Frederick and Newell. It mostly covers linear systems, but has a chapter on linearizing.
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