三参数隔振系统归一化模型及参数优化

Normalized model of a 3-parameter isolation system and its parametric optimization

三参数隔振系统较传统两参数隔振系统在共振峰和高频段表现更加优异。提出归一化的三参数隔振系统设计方法,给出了正弦激励以及阶跃激励下三参数隔振系统的时域响应解析形式。针对正弦激励,以共振峰和高频衰减率作为目标函数,进行多目标优化设计,针对单位阶跃激励,以调节时间和超调量为目标函数进行参数设计,相比于传统设计方法,能够给出同时满足目标函数的解,仿真算例验证了方法的可行性。

A three-parameter isolation system has better performances at resonance peak and within higher frequency band than the traditional 2-parameter one does. Here,a design method for normalized 3-parameter isolation systems was proposed. A 3-parameter isolation system ’s time domain response analytical form was derived under sinusoidal and step excitations. For sinusoidal excitation,resonance peak and high frequency decay rate were taken as objective functions to perform the multi-objective optimization design. For unit step excitation,adjusting time and overshoot were taken as objective functions to do parametric design. Compared with the traditional design method,it was shown that the proposed design method can deduce solutions to simultaneously satisfy all objective functions; the feasibility of this method is verified with several simulation examples.