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圆柱齿超环面行星蜗杆传动的强度计算分析

Calculation and Analysis of Strength of Cylindrical Teeth-type of Toroidal Drive

【作者】 潘亚南

【导师】 谭援强;

【作者基本信息】 湘潭大学 , 机械设计及理论, 2011, 硕士

【摘要】 随着现代工业对机械设备及机械传动系统的要求越来越高,世界传动系统研究的重点逐渐向高速、重载、长寿命、低成本等方面发展,超环面行星蜗杆传动这一新型传动应运而生,成为近年来国内外学者研究的热点。本文主要研究了圆柱齿超环面行星蜗杆传动的强度计算分析,完成了以下工作:推导出了圆柱齿超环面行星蜗杆传动的接触强度计算公式,通过四因素三水平的正交试验,研究出接触应力大小的主要影响因素及影响规律,并基于以上研究,确定中心距为接触强度设计参数,给出超环面行星蜗杆传动的接触强度计算方法。推导出圆柱齿超环面行星蜗杆传动的行星轮齿及内齿圈齿的弯曲强度计算公式,分别通过正交试验,研究出其弯曲应力大小的影响因素及影响规律,基于以上研究,确定圆柱滚子的滚针轴承内径及内齿圈螺旋齿厚分别为圆柱滚子及内齿圈的弯曲强度设计参数,通过选定合适的圆柱滚子半径系数来完成该机构的弯曲强度设计。建立了该减速器各个部件的精确三维实体模型。借助有限元分析软件ABAQUS对此模型进行数值计算,分别得到了中心蜗杆、行星轮、超环面内齿圈的应力云图。通过分析得到中心蜗杆、行星轮、内齿圈接触面上的接触应力和圆柱滚子齿及超环面内齿圈螺旋齿的弯曲应力,分析结果验证了接触强度及弯曲强度计算公式的正确及设计方法的正确性。

【Abstract】 With the increasingly demand of machinery and mechanical transmission system of modern industrial, the development of transmission in the world mainly focus on high-speed, the high loading capacity, long life, low cost and other aspects. The toroidal drive, as a new type of drive, emerged and was studied by scholars at home and abroad as a hot spot in recent years. Strength of the cylindrical teeth-type toroidal drive is the main object in my paper which is showed as follows:The calculation formulas of contact stress are derived. Through four factors and three levels of the orthogonal test, the influencing factors and the changing law of the mechanism pressure angle are obtained. Based on the above studies, the centre distance is identified as the design parameter of contact strength and the design model of the contact strength of toroidal drive are given.The calculation formulas of bending stress of planetary tooth and stator tooth are derived respectively. Through the orthogonal test, the influencing factors and the changing law of the bending stress are given respectively. Based on the above studies, the inner diameter are identified as the design parameter of bending strength of planetary tooth and the tooth thickness identified as the design parameter of bending strength of the stator. Choosing the appropriate coefficient of cylindrical roller, the design of the bending strength of the toroidal drive is acquired.In this paper, the solid model of the cylindrical teeth-type of toroidal drive reducer is created in the software of UG. The finite analysis software ABAQUS can provide valuable data of this model. The stresses of the toroidal drive reducer for the sun worm, the planet gear and the stator are can be get with the finite analysis simulation. The analysis results confirmed that the strength of toroidal drive could meet the design requirement. We can verify that contact and bending strength calculation formulas of toroidal drive are reliable by analyzing the contact stress of the contact surface of sun worm, planetary gear and stator and the bending stress of the cylindrical roller and stator tooth. The analysis results verified that contact and bending strength calculation formulas of toroidal drive are appropriate.

  • 【网络出版投稿人】 湘潭大学
  • 【网络出版年期】2012年 05期
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