非Hertz接触齿轮设计理论与方法  

GEAR DESIGN THEORY AND METHOD OF NON-HERTZ CONTACT

作　　者：夏伯乾[1] 刘佳佳 XIA BoQian;LIU JiaJia(College of Mechanical Engineering,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学机械工程学院,郑州450001

出　　处：《机械强度》2020年第5期1137-1145,共9页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(51575498)资助。

摘　　要：Hertz接触认为接触表面是静止的、光滑的、没有润滑的,是一种理想的接触状态。实际齿轮接触表面是有一定粗糙度的、有润滑的、相对运动的,所以实际齿轮的接触是一种非Hertz接触。基于弹流润滑理论,提出一种新的齿轮设计理论与方法——非Hertz接触齿轮设计理论与方法,该理论和方法综合了影响齿轮接触强度和润滑的各种因素,保证齿轮同时满足强度与弹流润滑的双重要求。给出了圆柱齿轮的设计公式,并通过大量工程实例对新的设计理论和方法进行了检验,结果表明,所提出的非Hertz接触齿轮设计理论与方法完全可以用于齿轮的工程设计,满足工程实际需要,特别是对高速重载齿轮设计具有重要的理论意义和实用价值。Hertz contact is a ideal contact status which supposes the contact surfaces as not moving,completely smooth and no lubricant,but real surfaces of meshing gears are rude,exiting relative motion and lubricating,and which is a kind of nonHertz contact.Based on EHL theory,this paper proposes a new gear design theory and method,called gear design theory and method of non-Hertz contact.The new theory and method comprehensive considers every factors of influencing strength and lubrication of gears,and which can ensure the designed gears meet the dual requirements of strength and elastic hydrodynamic lubrication.Specific formulas of are given out and a large number of engineering examples are used to verify the new theory and method proposed in the paper,and the results show that the conformity of new design theory and method and the actual engineering examples are very well,and which can directly apply to practical engineering design to meet the requirement of engineering design.In particular,to design of high speed and heavy duty gear transmission,the new theory and method of this paper has important theoretical significance and practical value.

关 键 词：非Hertz接触 齿轮 接触强度 弹性流体动力润滑 设计理论与方法 

分 类 号：TH117[机械工程—机械设计及理论]