时滞动力吸振器抑制扭转系统的振动

VIBRATION SUPPRESSION OF TORSIONAL VIBRATION SYSTEM BY USING THE DELAYED VIBRATION ABSORBER

本文研究了采用时滞动力吸振器抑制扭转振动系统的振动问题.采用稳定性切换方法分析了时滞动力吸振器及其扭转振动系统的稳定性问题,分别得到了时滞动力吸振器和扭转振动系统的时滞稳定和不稳定区域.结果表明,当时滞调节到动力吸振器的临界稳定值时,主振动系统的振动可以完全消除.当时滞在小于时滞动力吸振器的临界稳定范围进行调节时,可以将主振动系统的振动部分消除;并且时滞越大时滞动力吸振器的减振能力越强.当时滞调节超过扭转振动系统的临界稳定值时,系统处于不稳定状态,将导致结构破坏.数值模拟也证实了解析结果的正确性.

The vibration suppression of torsional vibrating system is investigated by using the delayed vibration absorber. The stability switch method was applied to analyze the stability of the delayed vibration absorber and the combined system, and their stable and unstable regions were obtained respectively. The results show that the vibration of the primary system could be suppressed absolutely when the delay is chosen as the critical stable value of the delayed vibration absorber. The vibration of the primary system could be suppressed partly when the delay is chosen in the stable region of the delayed vibration absorber. As the value of the delay increases, the vibration suppression ability is improved. If the value of the delay is larger than the critical value of the combined system, the structure of the combined system could be destroyed. The analytical results agree with the numerical simulation well.