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| Research on vibration synchronization of single-mass nonlinear system under sharp resonance condition |
| LI Xiao-Hao, LIU Jie, LIU Jin-Tao, LI Yun-Gong |
| School of Mechanical Engineering and Automation， Northeasten University, Shenyang 110004， China |
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Abstract This paper carries out theoretical study and numerical simulation on the vibration synchronization of single-mass nonlinear system with dual vibration exciters rotating in opposite direction under sharp resonance (resonant frequency ratio z=0.9~1.1) condition. The dynamic model of single mass nonlinear system has been established, and by adopting Hamilton principle, the necessary conditions of vibration synchronization motion for dual vibration exciters are deduced under sharp resonance condition. Finally, the validity & availability of this theory are demonstrated through numerical simulation. This research provides the theoretical fundamental for further development of efficient and energy-saving sharp resonance shaker, and has crucial value in engineering applications．
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Published: 28 December 2008
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单质体非线性系统的锐共振振动同步研究
对单质体非线性系统在锐共振(共振频率比z=0.9~1.1)情况下,双激振器作反向回转的振动同步进行理论研究和数值仿真.建立单质体非线性系统的动力学模型,运用Hamilton原理,推导出锐共振情况下非线性系统的双激振电机振动同步运行条件,最后通过数值仿真,验证了所推导理论的正确性和可用性.为进一步开发高效节能的锐共振振动机提供理论支持,具有重要的工程应用价值.
关键词：
单质体,
非线性,
锐共振,
振动同步
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