| 两自由度含间隙和预紧弹簧碰撞振动系统动力学分析 |
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| 引用本文： | 张惠,丁旺才,李飞. 两自由度含间隙和预紧弹簧碰撞振动系统动力学分析[J]. 工程力学, 2011, 0(3): 209-217 |
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| 作者姓名： | 张惠 丁旺才 李飞 |
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| 作者单位： | 兰州交通大学机电工程学院; |
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| 基金项目： | 国家自然科学基金项目(50675092); 甘肃省自然科学基金项目(0710RJZA052) |
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| 摘 要： | 研究了一类两自由度含间隙和预紧弹簧的碰撞振动系统动力学模型,建立了系统的Poincare映射,推导出了映射的Jacobian矩阵.研究了系统的周期和非周期运动,利用Lyapunov指数谱分析了系统的稳定性,用测试函数预测了系统发生"擦边"现象的参数范围;研究了系统的倍化序列和Hopf分岔过程因碰撞质块与约束"擦边"而中...
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| 关 键 词： | 非光滑系统 弹性碰撞 Poincaré映射 Lyapunov指数谱 边界碰撞 |
DYNAMICS OF A TWO-DEGREE-OF-FREEDOM IMPACT SYSRTEM WITH CLEARANCE AND PRE-COMPRESSED SPRING |
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| ZHANG Hui,DING Wang-cai,LI Fei. DYNAMICS OF A TWO-DEGREE-OF-FREEDOM IMPACT SYSRTEM WITH CLEARANCE AND PRE-COMPRESSED SPRING[J]. Engineering Mechanics, 2011, 0(3): 209-217 |
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| Authors: | ZHANG Hui DING Wang-cai LI Fei |
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| Affiliation: | *ZHANG Hui,DING Wang-cai,LI Fei(School of Mechanical Engineering Lanzhou Jiaotong University,Lanzhou 730070,China) |
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| Abstract: | A two-degree-of-freedom impact system with a clearance and pre-compressed spring is studied.The Poincaré map and its Jacobian matrix are constructed for analyzing the stability of the system.The periodic and aperiodic motions of the system are investigated,and verified by Lyapunov exponents.The parameter regions,where a boundary grazing phenomena may happen,are predicted by a test function.The phenomena of period-doubling and Hopf bifurcations intermitted due to boundary grazing motion are investigated.The changes of the eigenvalues,determinants and traces at the grazing points due to border collision are analyzed. |
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| Keywords: | non-smooth system soft impact Poincaré map Lyapunov exponents border collision |
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