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Approximate system equations are derived using the assumed mode method.
The system equations of the model are then derived.
Numerical simulations of the system equations corroborate the analytical results.
System equations are developed using a constant friction coefficient.
And the system equations consist of nine terms including four nonlinearities.
All analytical developments and results are compared with those obtained by direct integration of system equations.
Simulated data are used if the system equations are known, experimental data are used otherwise.
The system equations were discretized by applying Galerkin expansion method, and numerical solutions were obtained.
The Newmark-β method is used to solve system equations of motion.
The system equations are in normal form and its unforced dynamic may be unstable.
The new design is based on the analytical derivation of the system equations.
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