Approximate step response of a nonlinear hydraulic mount using a simplified linear model

Abstract

A simplified dynamic stiffness type linear model is used to analytically find the step responses of a nonlinear hydraulic mount in terms of the transmitted force and top chamber pressure. The closed form solution could be efficiently implemented with effective mount parameters, and peak value and the decay curve predictions could provide some insight into the nonlinear behavior. The analytical solutions to an ideal step input correlate well with both numerical simulations (of the same linear model) and measurements when a step-like displacement excitation is applied to fixed and free decoupler mounts.