| 一类非连续阻尼力分段线性系统的分岔研究 |
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| 引用本文： | 任传波,周继磊.一类非连续阻尼力分段线性系统的分岔研究[J].力学学报,2011,43(6):1191-1195. |
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| 作者姓名： | 任传波 周继磊 |
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| 作者单位： | 1. 山东理工大学交通与车辆工程学院;2. 大连理工大学工程力学系工业装备结构分析国家重点实验室; |
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| 基金项目： | 山东省自然科学基金资助项目(ZR2009FL016)~~ |
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| 摘 要： | 以某货车的主副钢板弹簧后悬架系统为模型, 建立了一类两自由度具有非连
续阻尼力分段线性系统的微分方程. 建立Poincaré映射, 推导了系统在各分界面处的跳
跃矩阵, 经分析得知跳跃矩阵与系统的弹簧刚度无关, 只与阻尼力有关. 通过数值方法进
一步揭示了系统发生的Neimark-Sacker分岔现象. 分析了在单边横截穿越情况下阻尼系数对
系统稳定性的影响. 对该类碰撞系统分岔和混沌的研究, 有助于工程中此类弹性碰撞系统的
优化设计.
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| 关 键 词： | 非连续阻尼力 分段线性 Poincare映射 跳跃矩阵 分岔 |
| 收稿时间： | 2011-04-20 |
| 修稿时间： | 2011-08-04 |
BIFURCATION RESEARCH FOR PIECEWISE LINEAR SYSTEM INVOLVED IN DISCONTINUOUS DAMPING FORCE |
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| Ren Chuanbo Zhou Jilei.BIFURCATION RESEARCH FOR PIECEWISE LINEAR SYSTEM INVOLVED IN DISCONTINUOUS DAMPING FORCE[J].chinese journal of theoretical and applied mechanics,2011,43(6):1191-1195. |
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| Authors: | Ren Chuanbo Zhou Jilei |
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| Institution: | 1. School of Traffic and Vehicle Engineering, Shandong University of Technology, Zibo 255049, China;2. State Key Laboratory of Structureal Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China; |
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| Abstract: | Based on truck suspension model consisting of primary and subsidiary springs,a two-degree-of-freedom system with piecewise-linearity involved in discontinuous damping force is established The stroboscopic Poincare map is established,and the saltation matrix is deduced by zero-time discontinuity mapping method at the interface.The result indicates that the saltation matrix is independent on spring rate,but is not independent on damping force.The Neimark-Sacker bifurcation point is investigated by the numeric... |
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| Keywords: | discontinuous damping force piecewise-linearity Poincare map saltation bifurcation |
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