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Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide

机译：机器静压液体切向非线性振动分析

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摘要

In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed. The dynamic model of the system was established, and the tangential vibration equation taking into account nonlinear factors was derived. The heteroclinic orbit parameter equations of the vibration system were solved, and the Melnikov function of vibration system is derived. And the chaos condition and judging criterion of the vibration system were obtained by Melnikov's method. The vibration equation of the hydrostatic slide was solved using the numerical method. The bifurcation diagram, phase diagram, wave diagram of displacement, and Poincare map were obtained, and the nonlinear dynamic responses were analyzed. Finally validation experiments were conducted, and the results agree well with the results obtained by the Melnikov method and numerical method.
机译：本文研究了静液压载玻片的非线性动力响应，并讨论了阻尼和外力控制振动系统的影响。建立了系统的动态模型，得到了考虑非线性因子的切向振动方程。解决了振动系统的杂循环轨道参数方程，源自振动系统的Melnikov函数。通过Melnikov的方法获得了振动系统的混乱状态和判断标准。使用数值方法解决了静液压载玻片的振动方程。获得了分叉图，相图，位移和庞的地图的波图，分析了非线性动力响应。最后进行了验证实验，结果与Melnikov方法和数值方法获得的结果很好。

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  • 来源
    《Shock and vibration》 |2019年第9期|6024916.1-6024916.13|共13页
  • 作者

    Zhang Zhongkui; Gao Feng; Li Yan; Zhang Han;

  • 作者单位

    Xian Univ Technol Educ Minist Key Lab NC Machine Tools & Integrated Mfg Equipme Xian 710048 Shaanxi Peoples R China|Xian Univ Technol Key Lab Mfg Equipment Shaanxi Prov Xian 710048 Shaanxi Peoples R China|Weifang Univ Sci & Technol Facil Hort Lab Univ Shandong Shouguang 262700 Peoples R China;

    Xian Univ Technol Educ Minist Key Lab NC Machine Tools & Integrated Mfg Equipme Xian 710048 Shaanxi Peoples R China|Xian Univ Technol Key Lab Mfg Equipment Shaanxi Prov Xian 710048 Shaanxi Peoples R China;

    Xian Univ Technol Educ Minist Key Lab NC Machine Tools & Integrated Mfg Equipme Xian 710048 Shaanxi Peoples R China|Xian Univ Technol Key Lab Mfg Equipment Shaanxi Prov Xian 710048 Shaanxi Peoples R China;

    Xian Univ Technol Educ Minist Key Lab NC Machine Tools & Integrated Mfg Equipme Xian 710048 Shaanxi Peoples R China|Xian Univ Technol Key Lab Mfg Equipment Shaanxi Prov Xian 710048 Shaanxi Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
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  • 正文语种 eng
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