时滞动力吸振器及其对主系统振动的影响

采用直接法研究了含有时滞动力吸振器的两自由度结构的动力学行为，重点分析了该结构主振动系统的振动及其稳定性。对时滞动力吸振器和系统进行了稳定性分析，分别得到了时滞动力吸振器和系统在某一特定反馈增益系数下的时滞的稳定与不稳定区域。结果表明，直接法计算简单，得到的结果与稳定性切换方法得到的结果相一致。通过对时滞动力吸振器及其主系统振动的稳定性分析，发现在某些时滞区域范围内，在保证系统稳定的前提下，时滞动力吸振器可以部分消除主系统的振动，数值模拟也证实了解析结果的正确性。

Delayed resonator and its effects on vibrations in primary system

In this paper,a called direct method(DM) is employed to study dynamical behaviors of a delayed resonator and then to focus on the investigations of vibrating features and the stability of a two-degree-of-freedom primary system with the delayed resonator.The stabilities for both the delayed resonator and the combined system are analyzed respectively.With a variation of the time delay in the delayed resonator,the stable and unstable regions for both the delayed resonator and combined system are obtained.It is shown in this paper that the DM is an easy method in computation and the obtained results are in good agreement with that given by the stability switch method(SSM).It follows from the stability analysis that the delayed resonator may be applied not only to stabilize the combined system but also to absorb partly the vibrations of the primary system for different time delays.The numerical simulations verify the validity of the analytical results.