The existing available research outcomes on vibration attenuation control for time-delay feedback indicate that, for the delay dynamic vibration absorber with fixed time-delay control parameters, under harmonic excitation, a good vibration attenuation control effect occurs on the vibration of the main system. However, the effect is not obvious for complex excitation. Aiming at the above problems, in a short time interval, a harmonic excitation with the same displacement size as the complex excitation was established. Then, by calculating its equivalent amplitude and equivalent frequency, a harmonic equivalent method for complex excitation was proposed in this paper. The time-delay parameters were adjusted according to the equivalent frequency of harmonic equivalent excitation in real time; therefore, a good vibration attenuation control effect was obtained through the delay dynamic vibration absorber in the discrete time interval. In this paper, research on a time-varying delay dynamic vibration absorber was conducted by taking the two-degree-of-freedom vibration system with a delay dynamic vibration absorber as an example. The simulation results show that the proposed control method can reduce the vibration of the main system by about 30% compared with the passive vibration absorber. This can obviously improve the performance of the time-delay dynamic vibration absorber. It provides a new technical idea for the design of vehicle active frame system.

中文翻译：

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复杂激励下时变延迟的振动控制

现有的时滞反馈减振控制研究成果表明，对于具有固定时滞控制参数的时滞动态吸振器，在谐波激励下，对主系统的振动产生良好的减振控制效果。但是，对于复数激励效果并不明显。针对上述问题，在较短的时间间隔内，建立了与复激励具有相同位移大小的谐波激励。然后，通过计算其等效幅度和等效频率，提出了复激励的谐波等效法。根据谐波等效励磁等效频率实时调整延时参数；所以，通过离散时间间隔内的延迟动态吸振器获得了良好的减振控制效果。本文以带延迟动态吸振器的二自由度振动系统为例，对时变延迟动态吸振器进行了研究。仿真结果表明，与被动吸振器相比，所提出的控制方法可使主系统的振动降低约30%。这可以明显提高时滞动态吸振器的性能。为车辆主动车架系统的设计提供了一种新的技术思路。以带延迟动态吸振器的二自由度振动系统为例，对时变延迟动态吸振器进行了研究。仿真结果表明，与被动吸振器相比，所提出的控制方法可使主系统的振动降低约30%。这可以明显提高时滞动态吸振器的性能。为车辆主动车架系统的设计提供了一种新的技术思路。以带延迟动态吸振器的二自由度振动系统为例，对时变延迟动态吸振器进行了研究。仿真结果表明，与被动吸振器相比，所提出的控制方法可使主系统的振动降低约30%。这可以明显提高时滞动态吸振器的性能。为车辆主动车架系统的设计提供了一种新的技术思路。