Abstract
The concept of linear systems with random coefficients is used to obtain an analytical approximation of the power spectral density (PSD) functions of the response of an oscillator with non-linear inertia, damping and stiffness terms. To identify the parameters involved in the non-linear terms, a procedure is described, which consists of fitting the response PSD to the experimental one after suitably predetermining the parametric values. The direct and inverse procedures are presented in the context of an oscillator with squeeze film force dynamic. Identification was performed from experimental data with various film thicknesses and excitation levels. The experimental PSD function of the squeeze film force is not required with this procedure. The parameters identified yield a squeeze film force PSD which was in good agreement with the experimental one.
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