考虑齿面接触温度的齿轮系统非线性动力学建模及分析.pdfVIP

第 51卷第 11期 20 1 5 年 6 月 机 械 工 程 学 报 JOURNAL 0F M ECHANICAL ENGINEERING V01．51 Jun． NO．11 2 0 l 5 DoI： 1O．3901／JM E．2015．11．071 考虑齿面接触温度的齿轮系统非线性 动力学建模及分析水 苟向锋 ，2 祁常君 2 陈代林2 (1．天津工业大学机械工程学院 天津 300387 2．兰卅I交通大学机电工程学院 兰州 730070) 摘要：为研究齿轮啮合过程中齿面接触温度对系统动力学的影响，基于 Block闪温理论，计算主、从动轮的齿面闪温，推导 齿面接触温度随时问变化的表达式，计算由齿面接触温度变化导致的齿廓形变；通过 Hertz接触理论，推导随齿面接触温度 变化的啮合刚度的表达式。建立综合考虑齿面接触温度、时变啮合刚度、齿面摩擦、齿侧间隙、综合啮合误差等因素的单级 直齿圆柱齿轮系统非线性动力学模型。对该模型进行研究，分析摩擦因数、载荷对齿面闪温的影响及系统的动力学特性。计 算结果显示，齿面闪温在齿根和齿顶啮合时达到最大，而在节点附近接近于零。这表明所提出的齿面闪温计算方法能在一定 程度上反映齿轮啮合时的温度变化和滑动情况，该方法在计算齿面温度变化时其基本规律是正确的。对比考虑齿面接触温度 与否的分岔图发现，齿面接触温度对系统动力学行为有明显的影响。 关键词：齿轮：齿面接触温度；建模；非线性动力学 中图分类号：TH132；O322 Nonlinear Dynamic M odelling and Analysis of Gear System with Tooth Contact Temperature GOU Xiangfeng · QI Changjun CHEN Dailin (1．School ofMechanical Engineering，Tianjin Polytechnic University,Tianjin 300387； 2．School of Mechanical Engineering，Lanzhou Jiaotong University,Lanzhou 730070) Abstract：In order to examine the influence of the tooth contact temperature in the meshing surface on the dynamics in the gear system，the flash temperature in tooth surNce of driving gear and driven gear is calculated based on Block’S flash temperature theory． The mathematical expression of the tooth contact temperature changed with time in the tooth surface iS derived and the tooth profile deformation caused by the change of contact temperature in the tooth surface iS computed．The expression of the mesh stifness which iS modified bv the contact temperature in the tooth surface iS derived based on Hertz contact theory．A nonlinear dynamic model of a single．stage spur gear system is established when the nonlinear factors such as the tooth contact temperature，the time．varying stifness，the tooth surface friction，the backlash and the transmission eror are considered．The dynamics of the system are analyzed．The influence of coefi cient of friction and load on the flash temperature of the tooth surface is analyzed，too．The calculated results show that the maximum