齿轮齿条动态啮合及传动分析的SPH数值算法研究  

An SPH algorithm for gear rack dynamic meshing and transmission analysis

作　　者：唐宇峰 胡光忠 曹修全 阳明君 TANG Yufeng;HU Guangzhong;CAO Xiuquan;YANG Mingjun(School of Mechanical Engineering,Sichuan University of Science&Engineering,Yibin 644000,China;Sichuan Provincial Key Laboratory of Major Hazard Source Measurement and Control,Chengdu 610031,China)

机构地区：[1]四川轻化工大学机械工程学院,四川宜宾644000 [2]重大危险源测控四川省重点实验室,成都610031

出　　处：《振动与冲击》2021年第16期39-44,共6页Journal of Vibration and Shock

基　　金：四川理工学院人才引进项目(2017RCL39);重大危险源测控四川省重点实验室开放基金(KFKT-2021-01)。

摘　　要：针对现有光滑粒子流体动力学(smoothed particle hydrodynamics,SPH)方法在对齿轮齿条等具有复杂边界的机构进行动态啮合及传动过程分析的不足,基于齿轮齿条啮合及传动特点进行了改进。通过改进其相互作用力,提出了一种适用于复杂边界动态啮合及传动分析的SPH计算方法,并编程实现了相应的SPH程序。采用该SPH算法对一个简化的齿轮齿条啮合及传动算例进行了分析,得到了不同时刻齿轮齿条位置、速度变化及应力分布等信息,揭示了齿轮齿条机构发生齿面点蚀及齿根破坏的力学原理,并与有限元方法对比验证了方法的可行性。该研究提出的SPH方法可广泛应用于齿轮、齿条、轴承等具有复杂动态接触边界的机构的强度评价和优化分析,为该领域的数值分析提供了一种新的思路,同时也推动了SPH在该领域内的进一步发展。This paper aims at the shortcomings of the existing smoothed particle hydrodynamics(SPH)methods in the dynamic meshing and transmission process analysis of gear rack and other mechanisms with complex boundaries,and improves the gear rack meshing and transmission characteristics.First,by improving its interaction force,an SPH calculation method for dynamic meshing and transmission analysis of complex boundaries was proposed,and the corresponding SPH program was programmed.Secondly,a simplified gear rack meshing and transmission example was analyzed by using the SPH algorithm,and the information of gear rack position,velocity change,and stress distribution at different times were obtained.The mechanical principle of tooth surface pitting and root failure of gear rack mechanism was revealed,and the feasibility of the method was verified by comparison with a finite element method to verify the feasibility of the method.The proposed SPH method in this paper can be widely used for strength evaluation and optimization analysis of mechanisms with complex dynamic contact boundaries such as gear,rack,and bearing.It provides a new idea for numerical analysis in this field and also promotes further development of SPH in this field.

关 键 词：光滑粒子流体动力学(SPH)方法 齿轮 齿条 动态啮合 

分 类 号：O302[理学—力学]