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.
@article{arxiv.2305.02135,
title = {An identification method for oscillators with response-dependent inertia},
author = {Yuval Harduf and Eyal Setter and Izhak Bucher},
journal= {arXiv preprint arXiv:2305.02135},
year = {2023}
}