间隙非线性对惯容-橡胶复合隔振器位移响应的影响研究

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

为研究间隙非线性对惯容-橡胶复合隔振器位移响应的影响,建立了含间隙的非线性并联式Ⅱ型ISD隔振系统和非线性动力学方程。使用四阶和五阶龙格-库塔法在Matlab中对该非线性方程进行数值求解,以不含间隙的线性方程作为对比,通过分岔图、相位图、庞加莱截面图研究了非线性系统的动力学特性,以及非线性方程和线性方程产生明显的数值解偏差时间隙的取值范围;加工了惯容-橡胶复合隔振器试验样品,在MTS电液伺服试验台上进行了复合隔振器的位移响应试验,试验结论与理论分析结论相吻合。研究结果表明轻微的间隙不会影响到惯容-橡胶复合隔振器的位移响应,但其力学性能会受到影响。

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 Poincarésectional 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.