基于啮合特性的人字齿轮动力学建模与分析  

Dynamic modeling and analysis of double helical gears based on meshing characters

作　　者：王成[1] 高常青[1] 崔焕勇[1] 

机构地区：[1]济南大学机械工程学院,山东济南250022

出　　处：《中南大学学报（自然科学版）》2012年第8期3019-3024,共6页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(50905074);山东省优秀中青年科学家科研奖励基金资助项目(BS2011ZZ002);济南大学科研基金资助项目(XKY1012);济南大学博士基金资助项目(XDS1022)

摘　　要：利用人字齿轮啮合特性的分析结果,准确计算人字齿轮轮齿时变啮合刚度激励和误差激励。根据齿轮啮合冲击模型,计算人字齿轮啮入冲击激励。根据人字齿轮的均载传动特性,综合考虑上述3种激励,利用集中参数理论建立人字齿轮12自由度弯曲—扭转—轴向变形耦合的三维空间动力学模型。应用牛顿第二定律,建立系统的振动方程,对方程进行消除刚体位移和量纲归一化处理。采用变步长四阶龙格库塔法(Runge-Kutta)求解,得到系统的振动响应和动态特性。结果表明:人字齿轮动力学模型的建立、求解和分析为其动态设计奠定了基础。The stiffness excitation and error excitation were calculated by the results of meshing contact analysis of double helical gears. The corner impact excitation was obtained by the model of impact. According to meshing characteristics of load sharing for double helical gears, the three-dimensional twelve-degree dynamical model of the double helical gears was established by the method of concentrated parameter. The internal dynamic excitations produced by stiffness excitation, error excitation and corner impact excitation were considered in this model. The dynamic equations of this system were established by the Newton second law, and the identical dimensionless equations were deduced by the method of eliminating relative displacement and identical dimensionless. They were solved by the method of fourth-order Runge-Kutta algorithm with variable step lengths and the dynamic behaviors of double helical gears were studied. The results show that the building, solving and analyzing is the basis of the dynamic design of double helical gears.

关 键 词：人字齿轮 动态激励 动力学分析 轴向振动 

分 类 号：TH132[机械工程—机械制造及自动化]