类椭圆非线性迟滞隔振系统的动力学模型

应用类椭圆函数建立了非线性迟滞隔振系统的动力学模型，并导出了系统动力学模型的实用表达式.该模型由非线性刚度和非线性阻尼构造而成，模型中各个参数具有明确的物理意义，各阶刚度系数能很好地描述系统中存在的线性和非线性特性，而阻尼函数能很好地描述系统的迟滞和耗能特性.模型中含有待辨识的阻尼成分函数，该函数能反映系统中可能存在的高阶阻尼、粘性阻尼和干摩擦阻尼等各种阻尼成分.由于在模型中将阻尼项表示为位移的函数，因而减少了测量工作量，方便了数值计算.应用动力学模型重构了非线性迟滞隔振系统的恢复力-位移回线，结果表明理论回线与实验回线吻合得很好.

Ellipse- Like Dynamic Model for Nonlinear Hysteretic Vibration Isolation System

In this paper,an ellipse-like function is defined firstly,then a dynamic model for nonlinear hysteretic vibration isolation system is proposed by using such function,and the practical expression of the system is deduced.The dynamic model is constructed by nonlinear stiffness and nonlinear hysteretic damping,all of the parameters in the model have specific meanings,the stiffness coefficients reflect the linear and nonlinear characteristics,and the damping function describes the hysteretic and dissipative characteristics of the vibration isolation system perfectly.The dynamic model contains a parameter called damping component function,which describes all kinds of damping components probably existing in the vibration isolation system,such as friction damping,viscous damping and high-order one etc.Hence,the dynamic model can describe the hysteretic and dissipative characteristics more precisely;simultaneously,the term of nonlinear hysteretic damping force in the dynamic model is expressed as the function of displacement,thus the model proposed in this paper decreases amount of measuring work,and simplifies the process of numerical calculations.The restoring force vs.displacement loops of the vibration isolation system are reconstructed by using the dynamic model proposed in this paper.The results show that the theoretic loops agree well with the corresponding experimental loops.