Non-linear Theory and Simulation for Vertical Impact Damping System
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摘要: 为深入认识垂直主振系冲击消振系统的非线性运动本质,建立了该类系统的力学模型,并对其进行了理论研究。利用系统运动具有分段线性的特点,用传递函数的分部分式法结合段边界条件得到了系统响应的解析解;以文献[1]中的实验参数作为仿真程序的输入参数,对仿真结果进行了分析,得到了外部激励频率是影响系统非线性特性的主要因素,与文献[1]中的实验结果进行了比较,验证了理论计算的合理性与正确性。Abstract: To study the non-linear motion essence of vertical impact damping system,a mechanical model was built and studied theoretically.The analytical solution of system dynamical response was gained using transfer function combining with the neighboring boundary compatibility conditions of the system in the fact of its piecewise linear characteristics.Numerical simulation was also performed,taking the experimental parameters of reference literature [1] as input of simulation program,and achieved the conclusion that external exciting frequency is the main factor of affecting the non-linear characteristics of the system.The comparison between the results of simulation and experiments was made which verified the correctness and feasibility of theoretical calculation.
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Key words:
- vertical vibrating system /
- impact damping /
- non-linear /
- theory /
- simulation
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[1] 张建生等.垂直主振系冲击消振系统实验研究[J].机械科学与技术,2010,29(2):214～219 [2] 夏季.垂直主振系冲击消振理论初探[J].力学与实践,1993,15(3):30～33 [3] 夏季,廖伯瑜.垂直振系冲击消振器双面冲击消振理论[J].昆明工学院学报,1992,17(4):27～40 [4] Ema S,Marui E.Damping characteristics of an impact damperand its application[J].International Journal of MachineTools and Manufacture,1996,36(3):293～306 [5] Butt A S,Akl F A.Numerical model of impact-damped continu-ous systems[J].Journal of Engineering Mechanics,1997,123(4):384～392 [6] 赵登峰,夏季.垂直主振系冲击消振系统的简谐激励响应分析[J].振动与冲击,2004,23(1):83～87 [7] 罗冠炜等.高维映射的hopf分岔分析及其在冲击振动系统中的应用[J].振动工程学报,1999,12(3):360～366 [8] 邓危梧.冲击减振器的效应及其基本参数的确定[J].机械工程学报,1964,12(4):18～29 [9] 徐志伟等.垂直冲击减振系统得仿真研究[J].西安交通大学学报,1999,33(7):66～70 [10] 将志峰,楼易.用Matlab进行单自由度系统机械振动试验[J].力学与实践,2004,26(3):86～88 -
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