Abstract
This paper addresses the nonlinear modeling of the decoupler in a hydraulic engine mount. The authors have introduced a simple nonlinear mathematical model in this case, which is in agreement with experimental results available in the literature. The novelty of the model is its simplicity, which makes it suitable for theoretical analysis. Using the multiple scale perturbation method, the authors have examined the behavior of the mount at resonance. The significant difference between the behaviors of the nonlinear model, as predicted here by the perturbation method, and the linear model at resonance is the existence of a jump phenomenon. The nonlinear resonance results in high-amplitude steady state or unstable behavior at high frequencies and is not predicted by the linear model.
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