三线性滞回系统的稳态响应

提出了一种三线性滞回阻尼模型。用Krylov-Bogoliubov缓变系灵敏法研究了正弦型激励下单自由度三线性滞回系统的稳态响应。当本文的三线性模型退化为双线性模型时。本文结果与Caughey的结果是一致的。研究结果还发现。这种系统的稳态解总是稳定的，没有振幅的跳跃现象发生。但在激振力力幅达到一定值时能够发生无界响应。此外还发现，稳态振动达到峰值振幅时滞回面积（即最大滞回面积）对峰值振幅的比值和激振力力幅成正比。这个结论与双非线性滞回系统的相应结论是一致的。

Steady-state Response of Triple-linear Hysteretic System

The steady-state response of an one-degree-of-freedom triple-linear hysteretic system subjected to a sinusoidal excitation was investigated by using the method of slowly varying parameters developed by Krylov and Bogoliubov. The results show that the system exhibits unbounded amplitude response if the amplitude of excitation is large enough,and that the steady-state response of the system is always stable and the single-valued indicating that the nonlinear jumps of amplitude can not occur in this system.