摘要
齿轮在工作时,由于功率损耗和环境温度等原因,引起齿轮轮体及箱体的温度发生变化,影响齿轮传动性能。以直齿圆柱齿轮传动系统为研究对象,考虑齿面摩擦、齿侧间隙和时变啮合刚度等非线性因素,引入温度变化的影响,建立六自由度的齿轮系统非线性动力学模型,并采用4~5阶龙格-库塔算法对模型进行求解,结合分岔图、相图和Poincare映射图,分析温度变化和激励频率对齿轮系统动力学的影响。结果表明,温度变化对系统的影响与激励频率取值有关;系统随着激励频率的变化会表现出不同的动态特性响应,包括单周期响应、多周期响应以及分岔和混沌响应。相关结论为进一步改善齿轮系统的设计和安装提供了参考。
In the working of gears,the temperature changes of gear body and box body are caused by power loss and environmental temperature,which affect the transmission performance of gears.Using the spur gear transmission system as the object of study,considering the non-linear factors such as tooth surface friction,backlash and time-varying meshing stiffness,and introducing the influence of temperature variation,a six-degree-of-freedom non-linear system dynamics model was established.The model was solved by 4~5 order Runge-Kutta method.Combining the bifurcation diagram,phase diagram and Poincare map,the influence of temperature variation and excitation frequency on the dynamics of gear system was analyzed.The results show that the influence of temperature variation on the system is relating to the selection of internal excitation frequency,and the system will show different dynamic response with the change of excitation frequency,including single-period response,multi-period response,bifurcation and chaotic response.These results provide a reference to further improve the gear system design and installation.
作者
周洋
车博文
解志杰
李大磊
Zhou Yang;Che Bowen;Xie Zhijie;Li Dalei(School of Mechanical and Power Engineering,Zhengzhou University,Zhengzhou 450001,China;School of Mechanical and Electrical Engineering,Harbin Institute of Technology,Harbin 150001,China)
出处
《现代制造工程》
CSCD
北大核心
2020年第5期1-8,共8页
Modern Manufacturing Engineering
基金
国家自然科学基金项目(51805109)
河南省科技攻关基金项目(182102210185)
河南省高等学校重点科研项目(20A460021)。
