含时滞轨道吸振器的建筑结构的动力学分析

Dynamical Analysis of a Building Structure with a Time-Delay Track Vibration Absorber

本文研究了具有时滞轨道非线性吸振器的建筑结构的动力响应及其控制效果.采用谐波平衡法和弧长延拓法给出了简谐激励作用下主结构的幅频响应曲线,并与龙格库塔法的结果进行了对比.考察了不同参数情况下幅频曲线的变化情况,揭示了系统的复杂运动现象.结果表明,轨道非线性会导致幅频曲线向左偏转.时滞反馈控制能够降低主结构的位移幅值,并可抑制混沌响应.

In this paper,the dynamical responses and control performance of a building structure with a delayed track nonlinear vibration absorber are studied.The amplitude-frequency response curves of the system under external excitation are given by harmonic balance method and arc-length continuation method.The fourth-order Runge-kutta algorithm is performed to validate the obtained results.The properties of the amplitude-frequency response for different system parameters are analyzed and complex dynamical motions are shown.It is shown that the track nonlinearity can lead to the left-leaning phenomenon.In addition,the delayed feedback control can reduce the displacement amplitude of the primary structure and suppress the complicated responses.