键槽的集中应力及优化设计研讨.doc

Stress concentrations in keyways and optimization of 键槽应力集中分析及优化设计 Abstract: Keys and keyways are one of the most common shaft–hub connections.摘要：键和键槽是最常见的轴毂连接的一种。，数值分析。The design is often regulated by standards设计遵守的标准规范已有近半个世纪，且文献中that are almost half a century old, and most results reported in the literature are based on大多数结果基于光弹实验分析experimental photoelastic analysis.。本文数值有限元分析(FE) analysis can improve the prediction of stress concentration in the keyway.（FE）如何提高键槽应力集中。 表明，在使用形状optimization and the simple super elliptical shape, it is shown that the fatigue life of a keyway优化和简单的超椭圆形后，最大应力水平降低了50％，键槽的疲劳寿命可以大幅提高can be greatly improved with up to a 50 per cent reduction in the maximum stress level.。该设计，只需改变两个设计参数就 parameters.Keywords: Keyway, parallel key, stress concentration, optimization, Laplace equation, FE关键词：键槽，平键，应力集中，优化，拉普拉斯方程，有限元 1 INTRODUCTION 1引言 Keys and keyways commonly connect shaft and hubs. 键和键槽常用来连接轴和轮毂。The designs of these are controlled by differen键和键槽设计由不同的标准而定，如参考 [1]。standards, eg reference [1].。不同的设计，Different design princi-平键，锥形keys, or Woodruff keys, see eg references [2] and [3].键或半圆键。Among these, the most common is the parallel key,其中，最常见的是平键，也which is the subject of the present paper.是本文的主题。键和keyway design is fully controlled by the standards键槽的设计，完全是根据一个参数——--轴直径的标准来控制based on only one parameter – the shaft diameter.。就疲劳而言，这方面的成果寥寥无几，比如minimizing the stress concentrations.应力集中目前笔者所知，Orthwein指出，但current authors knowledge, very little has been done之后没有进行。其它设计或许在文献中提出文献[7]和[8]大概是菲隆首次提出键槽The first paper addressing the torsional stiffness of首次首次轴的扭转刚度shafts with a kind of keyway is probably that of Filon [7。该文中，轴的建模是elliptical cross-section and the keyways were mod-椭圆形横截面形状，键槽的建模是双曲线形状elled as hyperbolae.。Following this analytical paper,这篇分析文章发表之后，there have been a number of experimental papers很多实验性论文论述dealing with the stress concentrations of key and键和keyway connections.键槽连接的应力集中问题。 Many of these papers have这些论文中（所讨论的方法），有许多use