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含间隙振动系统的周期运动和分岔

ISSN号：0577-6686
期刊名称：《机械工程学报》
时间：0
分类：TH113.1[机械工程—机械设计及理论]
作者机构：[1]兰州交通大学数理与软件工程学院,兰州730070, [2]西南交通大学应用力学与工程系,成都610031
相关基金：国家自然科学基金（50475109,10572055）和甘肃省自然科学基金（ZS-031-A25-007-Z）资助项目.

关键词：间隙, 冲击振动, 周期运动, 稳定性, 分岔, Clearance Vibro-impactPeriodic motion Stability Bifurcation

中文摘要：

研究了一类多自由度含间隙振动系统的动态响应，根据碰撞条件和由碰撞规律所确定的衔接条件求得系统的对称型周期碰撞运动及相关Poincar6映射，讨论了该映射不动点的稳定性与局部分岔。用一个2自由度含间隙振动系统阐述了方法的有效性，分析了对称型周期碰撞运动稳定性、分岔、擦边奇异性和混沌形成过程。通过数值仿真研究了铁道车辆轮对的横向周期碰撞振动，分析了轮对对称型周期碰撞运动的叉式分岔和擦边映射奇异性。

英文摘要：

A multi-degree-of-freedom vibratory system with a clearance is considered. The system consists of linear components, but the maximum displacement of one of the masses is limited to a threshold value by the symmetrical rigid stops. Such models play an important role in the studies of mechanical systems with clearances or gaps. Period one double-impact symmetrical motions are derived analytically according to the set of periodicity and matching conditions, and associated Poincare map is established. Stability and local bifurcations of the fixed point of double-impact symmetrical motion is analyzed by using the Poincare map. A two-degree-of-freedom vibratory system with a clearance is used as an example to demonstrate the validity of the analysis. Stability of periodic-impact motions, bifurcations, grazing singularities and routes to chaos are analyzed for the two-degree-of-freedom vibratory system with a clearance, in turn. Dynamics of the fundamental element in vehicle dynamics, a suspended, rolling wheelset is described. The diversity of dynamical behavior in this rolling wheelset with vibro-impact is demonstrated. Interesting features like both symmetric and asymmetric limit cycles, pitchfork bifurcation, period-doubling bifurcation, grazing boundary singularity and chaos, etc., are found.

同期刊论文项目

多自由度碰撞振动系统的周期运动和非常规分岔研究

期刊论文 61 会议论文 9

含间隙机械振动系统的动力学及非线性控制研究

期刊论文 93 会议论文 10 获奖 4

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