齿轮塑性变形失效的安定极限分析  

Shakedown Limit Analysis for Plastic Deformation Failure of Gears

作　　者：廖海平[1,2] 刘启跃[1] 

机构地区：[1]西南交通大学摩擦学研究所,四川成都610031 [2]中国工程物理研究院工学院,四川绵阳621900

出　　处：《西南交通大学学报》2010年第5期676-679,750,共5页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金资助项目(50675183);国家973计划资助项目(2007CB714702)~~

摘　　要：为研究直齿圆柱齿轮优化设计中残余应力对齿轮材料塑性极限的影响,基于Hertz接触理论和齿轮局部坐标下的弹塑性接触模型,分析了直齿圆柱齿轮啮合过程中的弹性接触应力、残余应力及弹塑性接触应力.根据第三强度理论,导出齿轮材料在弹性状态下弹性极限约为简单拉压屈服极限的1.6倍;根据安定极限理论,考虑齿轮啮合过程产生的残余应力对齿轮材料的强化作用,得到弹塑性状态下齿轮接触的静力安定极限约为简单拉压屈服极限的2.3倍;与弹性极限相比,将静力安定极限作为齿面出现塑性变形的失效判据,齿轮材料的许用应力提高了约50%.In order to study the influences of residual stresses on the plastic limit of gear material for optimal design of cylindrical spur gears,the elastic contact stress,residual stress,and elastic-plastic contact stress in gear engagement were analyzed using the Hertz contact theory and elastic-plastic contact models of gears in local coordinates.According to the third strength theory,the elastic limit of the gear material in the elastic state was derived to be about 1.6 times its tensile and compressive yield strength.Considering the strengthening effect of residual stresses on the gear material,the gear elastic-plastic static shakedown limit was about 2.3 times the tensile and compressive yield strength of the gear material according to the shakedown theory.When the static shakedown limit is used as the failure criterion of gear plastic deformation,the allowable stress of the gear material can be improved by about 50% over the elastic limit.

关 键 词：齿轮 塑性变形 安定极限 残余应力 

分 类 号：TH123.3[机械工程—机械设计及理论] O344.5[理学—固体力学]