齿轮变摩擦三维接触问题有限元混合法求解及程序设计

发布时间：2018-03-19 11:15

  本文选题：齿轮传动　切入点：接触　出处：《中南大学》2011年硕士论文　论文类型：学位论文

【摘要】：本文以齿轮接触模型-接触算法-接触特性仿真为主线展开。首先对齿轮静态、准静态和冲击-动力接触模型进行研究,基于有限元法和接触理论给出不同接触模型的适用场合和计算方法。借用Fortran语言编制求解齿轮接触问题的有限元程序包,对二维平面应力和三维条件下齿轮接触进行模拟。本文主要工作和创新点如下： 1.针对齿轮静态接触模型,介绍其力学描述、适用场合和优缺点；研究有限元静力算法,利用自制程序包分别计算平面应力和三维条件下给定接触力时的轮齿变形； 2.针对齿轮准静态接触模型,介绍其力学描述、适用场合和优缺点；研究准静态接触问题的有限元混合法,并针对三维圆柱齿轮接触轴向摩擦力较小的特点,提出用摩擦合力作为迭代变量应用于接触求解,以此加快收敛速度；利用自制程序包分别对Stribeck摩擦平面应力和三维条件下的齿轮接触进行计算,探讨接触合力、节点接触分力和节点接触状态随相对滑动速度的变化规律,并与Coulomb摩擦条件下的计算结果进行对比； 3.针对齿轮冲击-动力接触模型,介绍其力学描述、适用场合和优缺点；针对齿轮正常啮合过程中由于速度突变导致的冲击现象,提出齿轮传动啮合接触冲击概念；研究冲击-动力接触问题的有限元混合算法,利用自制程序包对Stribeck摩擦平面应力下齿轮啮合接触冲击进行计算,讨论不同初始冲击速度下各接触点对法向冲击力、摩擦力以及法向冲击合力和摩擦合力的变化规律,并与Coulomb摩擦条件下的结果作对比分析； 4.应用LS-DYNA程序包对三维齿轮传动啮合接触冲击进行计算,研究初始冲击速度、冲击位置对冲击合力、冲击应力和冲击时间的影响,并利用最大冲击力解析解对所得结果进行对比验证,最后给出不同冲击条件下齿面最大接触应力点在整个冲击过程中的分布规律。 本文针对不同齿轮接触模型,给出相应处理算法,利用自制程序包着重探讨Stribeck摩擦条件下齿轮啮合接触-冲击问题。通过商用软件和试验的对比验证,表明本文工作是有效的。
[Abstract]:The main line of this paper is gear contact model, contact algorithm and contact characteristic simulation. Firstly, the static, quasi-static and impact-dynamic contact models of gear are studied. Based on the finite element method and contact theory, the suitable situation and calculation method of different contact models are given. The finite element program package for solving gear contact problem is compiled by using Fortran language. The two dimensional plane stress and three dimensional contact of gears are simulated. The main work and innovation of this paper are as follows:. 1. According to the static contact model of gear, the mechanical description, applicable situation, advantages and disadvantages are introduced, the finite element static algorithm is studied, and the deformation of gear teeth under the given contact force and plane stress is calculated by using self-made package. 2. According to the quasi-static contact model of gear, the paper introduces its mechanical description, applicable situation, advantages and disadvantages, studies the finite element mixing method of quasi-static contact problem, and aims at the characteristic that the contact axial friction force of three-dimensional cylindrical gear is small. The friction force is used as an iterative variable in the contact solution to accelerate the convergence rate, and the contact force of the gear under the Stribeck friction plane stress and the three-dimensional condition is calculated by using the self-made package, and the contact force is discussed. The law of the joint contact force and the joint contact state changing with the relative sliding velocity is compared with the calculated results under the Coulomb friction condition. 3. The mechanical description, applicable situation, advantages and disadvantages of the gear impact-dynamic contact model are introduced, and the concept of gear transmission meshing contact impact is put forward in view of the impact phenomenon caused by the sudden change of speed in the gear normal meshing process. In this paper, the finite element hybrid algorithm for shock dynamic contact problem is studied. The gear meshing contact impact under Stribeck friction plane stress is calculated by using self-made package, and the normal impact forces of each contact point under different initial impact velocities are discussed. The variation of friction force, normal impact force and friction force are compared with the results under Coulomb friction condition. 4. The effect of initial impact velocity, impact position on impact force, impact stress and impact time are studied by using LS-DYNA package to calculate the meshing contact impact of 3D gear transmission. The results are compared and verified by using the analytical solution of the maximum impact force. Finally, the distribution of the maximum contact stress point of the tooth surface during the whole impact process is given under different impact conditions. In this paper, the corresponding processing algorithm is given for different gear contact models, and the self-made package is used to discuss the meshing contact impact problem of gears under Stribeck friction condition. It shows that the work in this paper is effective.
【学位授予单位】：中南大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41
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本文编号：1634022