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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.
The dynamic model of nonlinear hysteretic vibration isolation system is established based on the elliptic function and the practical expression of the system dynamic model is deduced.The model is composed of nonlinear stiffness and nonlinear damping and the parameters of the model have definite Physical meaning, the stiffness coefficient of each order can well describe the linear and nonlinear characteristics of the system, while the damping function can describe the system’s hysteresis and energy dissipation characteristics well.The model contains the damping component function to be identified, Can reflect various damping components such as high-order damping, viscous damping and dry friction damping that may exist in the system.As the damping term is expressed as a function of displacement in the model, the measurement workload is reduced and the numerical calculation is facilitated. The model reconstructs the restoring force-displacement loop of the nonlinear hysteretic vibration isolation system. The results show that the theoretical loop is in good agreement with the experimental loop.