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基于刚柔耦合模型的干摩擦制动系统振动分析
引用本文:赵旖旎,丁千.基于刚柔耦合模型的干摩擦制动系统振动分析[J].工程力学,2016,33(3):222-231.
作者姓名:赵旖旎  丁千
作者单位:1.天津大学力学系, 天津 300072;
基金项目:国家自然科学基金项目(11272228);天津市自然科学基金项目(13JCZDJC34900);高等学校博士学科点专项科研基金项目(20120032110011)
摘    要:该文针对制动摩擦颤振现象,建立了摩擦制动装置的刚柔耦合动力学模型,应用伽辽金离散和数值计算,揭示了摩擦块的盘面振动与摩擦盘面外振动间的耦合关系(即内共振条件)对系统振动的影响,并分析摩擦块的颤振特点。分析可知,转速高于临界转速时,由于盘的弹性振动,摩擦块在盘内作近简谐周期运动,转速低于临界转速后,系统产生摩擦-滞滑颤振。运动耦合越强,滞滑-颤振出现的越早,引起的振动也越强烈和复杂。同时,由于盘的弹性振动对摩擦块产生强迫激励,会在一定转速范围内产生共振。

关 键 词:动力学    干摩擦制动    伽辽金    摩擦滞-滑颤振    内共振    非内共振
收稿时间:2014-07-28

VIBRATION ANALYSIS OF DRY FRICTIONAL BRAKE SYSTEM BASED ON RIGID-FLEXIBLE COUPLED MODEL
Affiliation:1.Department of Mechanics, Tianjin University, Tianjin 300072, China;2.Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China
Abstract:A rigid-flexible coupled dynamic model is established to investigate the stick-slip flutter of a frictional brake system. Galerkin and numerical methods are then applied to reveal the influences of coupling relationships(i.e., internal resonant conditions) between the vibrations of block and disc on the dynamic behaviors of the whole system. The characteristics of the block flutter are also analyzed. The results show that above a critical speed, the vibrations of the block are close to the harmonic periodic motion due to the elastic vibration of the disc, and below a critical speed, stick-slip flutter is triggered. The strong movement coupling between elements of the system brings earlier occurrence of the frictional flutter and more intensive vibrations. Besides, resonances come out in a certain speed range due to the forced vibrations of block caused by the elastic vibrations of the disc.
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