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arXiv · 2305.02135

An identification method for oscillators with response-dependent inertia

Yuval Harduf·Eyal Setter·Izhak Bucher
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Abstract

This paper is concerned with identifying the instantaneous modal parameters of forced oscillatory systems with response-dependent generalized inertia (mass, inductance, or equivalent) based on their measured dynamics. An identification method is proposed, which is a variation of the "FORCEVIB" method. The method utilizes analytic signal representation and the properties of the Hilbert transform to obtain an analytic relationship between a system's natural frequency and damping coefficient to its response and excitation signals. The proposed method is validated by comparing the identification results to the asymptotic solution of a simple system with response-dependent inertia and is then demonstrated, numerically and experimentally, for other more complicated nonlinear systems.

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Yuval Harduf, Eyal Setter, Izhak Bucher. 2023-05-03. An identification method for oscillators with response-dependent inertia. https://arxiv.org/abs/2305.02135

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