387 / 2022-01-29 15:44:39

Vibration isolation and power flow analysis in coupled systems incorporating inerter with geometric nonlinearity

Inerter; Power flow; Geometric nonlinearity; Vibration isolation

Nonlinear Vibration and Control

This study investigates the vibration isolation and energy transmission behaviour between coupled oscillators incorporating inerter with geometric nonlinearity. Different types of geometric nonlinearities are considered and compared to seek the optimal structure for vibration isolation. The analytical solution is derived using harmonic balance method with alternating frequency time. The numerical results are obtained using Runge-Kutta method for validation and comparison. The time-averaged transmitted and input powers are used to assess the vibration isolation and power mitigation performance within the system. It is shown that the proposed nonlinear system can reduce the resonant frequency and thus broaden the isolation bandwidth. It is found that the inerter-based nonlinear joint can introduce an anti-peak and substantially reduce the vibration and energy transmission level. It is also found that the inertance-to-mass ratio mainly affects the isolation performance in the high-frequency range. These findings improve the understanding of the energy transmission mechanism between coupled oscillators and provide potential guidance for inerter-based isolator design.