Open AccessAnalysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide
Author(s) -
Zhongkui Zhang,
Feng Gao,
Yan Li,
Han Zhang
Publication year - 2019
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/2019/6024916
Subject(s) - vibration , hydrostatic equilibrium , nonlinear system , bifurcation , bifurcation diagram , displacement (psychology) , diagram , control theory (sociology) , mathematics , dynamic equation , poincaré map , mathematical analysis , physics , mechanics , acoustics , computer science , psychology , statistics , control (management) , quantum mechanics , artificial intelligence , psychotherapist
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 Poincaré 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.