An oscillator with a non-linear restoring force and a small linear damping under wide-band random excitation is considered. A modified Van Der Pol transformation with a suitable amplitude dependent frequency, is used to transform the original system into a first order vector system to which the stoc
RESPONSE SPECTRAL DENSITIES AND IDENTIFICATION OF A RANDOMLY EXCITED NON-LINEAR SQUEEZE FILM OSCILLATOR
โ Scribed by S. Bellizzi; R. Bouc; M. Defilippi; P. Guihot
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 292 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0888-3270
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โฆ Synopsis
The concept of linear systems with random coefficients is used to obtain an analytical approximation of the power spectral density (PSD) function 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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