| Related citation: | ZHAO Ying,WEN Jian-min,WANG Xiao-ming,LIU Hong,WANG Wei-ling.Forced oscillations with time-varying mesh stiffness and backlash in gear systems[J].Journal of Harbin Institute Of Technology(New Series),2009,16(4):481-484.DOI:10.11916/j.issn.1005-9113.2009.04.008. |
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| Author Name | Affiliation | | ZHAO Ying | Robotics Institute,Harbin Institute of Technology,Harbin 150001,China | | WEN Jian-min | School of Automobile Engineering,Harbin Institute of Technology at Weihai,Weihai 264209,China | | WANG Xiao-ming | School of Electrical Engineering,Harbin Institute of Technology,Harbin 150001,China | | LIU Hong | Robotics Institute,Harbin Institute of Technology,Harbin 150001,China | | WANG Wei-ling | School of Automobile Engineering,Harbin Institute of Technology at Weihai,Weihai 264209,China |
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| Abstract: |
| A dynamic model to describe the torsional vibration behaviors of a spur gear system is presented in this paper.Differential equations of nonlinear dynamics for the gear system exhibiting combined nonlinearity influence such as time-varying mesh stiffness,backlash and dynamic transmission error(DTE) were obtained.The method of multiple scales was employed to solve the nonlinear differential equations with parametric excitation in gear systems,by which both the frequency-response curves of the primary resonance caused by internal excitation and the analytical periodic solutions of nonlinear differential equations were obtained.The nonlinear influence of stiffness variation,the damping and the internal excitation on the system response was shown by frequency-response curves.Compared with numerical examples,the approximate analytical solutions are in good agreement with exact solutions,which proves that the method of multiple scales is effective for solving nonlinear problems in gear systems. |
| Key words: gear system method of multiple scales analytical solutions exact solutions frequency-response curves |
| DOI：10.11916/j.issn.1005-9113.2009.04.008 |
| Clc Number:TB535 |
| Fund: |
