碰撞阻尼器的颤振行为研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (16) : 7-13.

论文

碰撞阻尼器的颤振行为研究

杜妍辰，王彬

作者信息 +

A study on the chattering behavior of an impact damper

DU Yanchen,WANG Bin

Author information +

文章历史 +

摘要

碰撞阻尼器是一种利用碰撞实现有效减振的振动控制装置，属于非线性振动领域，在机械控制等方面有着非常广泛的应用。颤振是指振动过程中出现的连续碰撞的现象，目前对于碰撞阻尼器中颤振现象的研究未见报道。对以碰撞阻尼器为原型得到的两自由度碰撞减振系统的颤振行为进行了研究，通过理论推导的方法得到了系统颤振完成点及颤振完成时间。并运用四阶Runge-Kutta法对系统的微分方程进行了数值模拟，计算得到的不同参数条件下系统分岔图和时域图验证了理论推导的正确性。此外发现黏滞的存在是判断完全颤振与非完全颤振的重要特征。该研究可以有效解决碰撞阻尼中的颤振问题,为揭示碰撞阻尼器的减振机理提供参考。

Abstract

An impact damper is a kind of vibration control device used to realize effective vibration reduction, which belongs to the field of nonlinear vibration and has a very wide range of applications in mechanical control.Chattering is the phenomenon of continuous collision arisen in the process of vibration, and there is reported study on the chattering phenomenon of an impact damper.The work studied the chattering behavior of a two-DOF impact vibration reduction system used as a simplified model of the impact damper, and obtained the chattering-completion point and the chattering-completion time of the system through theoretical deduction.The fourth-order Runge-Kutta method was used to simulate the differential equations of the system numerically.The calculated bifurcation diagram and the time-domain map of the system under different parameters validated the correctness of the theoretical derivation.In addition, it is found that the existence of viscosity is an important feature to distinguish the complete chattering from the non complete chattering The study of the work provides a reference for the vibration reduction mechanism of the impact damper, and can effectively solve this kind of chattering problems in collision vibration based on the impact damping.

导出引用

杜妍辰，王彬. 碰撞阻尼器的颤振行为研究[J]. 振动与冲击, 2018, 37(16): 7-13

DU Yanchen,WANG Bin. A study on the chattering behavior of an impact damper[J]. Journal of Vibration and Shock, 2018, 37(16): 7-13

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