Effects of gap nonlinearity on displacement response of inerter-rubber vibration isolator

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (17) : 268-276.

LI Yang1, WEN Huabing1, LIU Wei1, ZHANG Kun1, TAN Fei2

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Abstract

To study effects of gap nonlinearity on displacement response of an inerter-rubber vibration isolator, a nonlinear parallel type II ISD vibration isolation system with gap and its nonlinear dynamic equation were established. The nonlinear dynamic equation was numerically solved using the fourth-fifth order Runge-Kutta method in Matlab. Compared to the corresponding linear dynamic equation without gap, dynamic characteristics of the nonlinear system were studied using bifurcation diagram, phase one and Poincaré sectional draw, and the gap value range was studied during obvious numerical solution deviation between the two equations occurring. The prototype of inerter-rubber vibration isolator was fabricated, and its displacement response was tested on the MTS electro-hydraulic servo test platform. The test results agree well with those of the theoretical analysis. The study results showed that slight gap can’t affect displacement response of an inerter-rubber vibration isolator, but the latter mechanical performance can be affected.

Key words

ball-screw inerter / gap / piecewise linear / test analysis

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LI Yang1, WEN Huabing1, LIU Wei1, ZHANG Kun1, TAN Fei2. Effects of gap nonlinearity on displacement response of inerter-rubber vibration isolator[J]. Journal of Vibration and Shock, 2020, 39(17): 268-276

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