基于规划法的弧齿锥齿轮扭转啮合刚度特性研究  

Torsional Mesh Stiffness Characteristics of Spiral Bevel Gears by Linear Programming Method

作　　者：蔡守宇[1] 王三民[1] 袁茹[1] 

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《机械科学与技术》2010年第7期866-870,共5页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家863计划项目(2009AA04Z404)资助

摘　　要：弧齿锥齿轮的扭转啮合刚度计算是进行其动态特性分析的基础。笔者结合线性规划法与有限元法,在轮齿承载接触分析的基础上,建立了弧齿锥齿轮副的扭转啮合刚度计算方法。在将弧齿锥齿轮承载接触问题转化成线性规划问题时,引入了轮齿接触柔度张量和齿对差异向量,使接触模型更加精确。利用该方法求解了弧齿锥齿轮的扭转啮合刚度,并分析了同一扭矩下扭转啮合刚度随主动轮转角的变化,以及不同扭矩下扭转啮合刚度的变化规律。Computation of torsional mesh stiffness（TMS） of spiral bevel gears is the foundation of dynamic characteristics analysis.A method of computation for TMS is put forward by combining linear programming method with FEM,based on loaded tooth contact analysis.Tooth contact flexibility tensor and the vector containing the differences of contact teeth are introduced into the contact model to make it more exact.The study provides the basis for dynamic characteristics analysis of spiral bevel gears as it can obtain the TMS,analyse the variation of TMS along with the driving pinion＇s rotation under the same torque and the variation under different torques.

关 键 词：弧齿锥齿轮 扭转啮合刚度 线性规划法 承载接触分析 

分 类 号：TH132.421[机械工程—机械制造及自动化]