双线性双滞后环系统非线性振动

摘要

Nonlinear vibrations of a single-degree-freedom system involving hysteresis with two loops were investigated. The frequency response equation was derived for system under primary resonance by applying the averaging method and the effects of excitation magnitude were studied. It is found that there will appear four types of frequency responses under different levels of excitation. It is also revealed and verified by numerical simulation that only one type among them is suitable for vibration reduction design.%研究含双线性双环滞后单自由度系统非线性振动的响应特点.先用平均法得到主共振情况下系统的幅频响应方程.然后讨论了外激励振幅变化对幅频响应的影响.给出了模式变化的临界参数条件,找到了四种不同类型的幅频响应并分析了其特点.在四种响应中,只有一种能充分发挥滞后环的耗能作用,适于减振设计.