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双圆孤齿轮齿形参数的有限元分析与优化设计

Finite Element Analysis and Optimum Design about the Tooth Profile Parameters of Double Circular Arc Gears

【作者】 张静

【导师】 王铁;

【作者基本信息】 太原理工大学 , 机械设计及理论, 2002, 硕士

【摘要】 双圆弧齿轮的齿形参数是影响着双圆弧齿轮的承载能力和动态性能的重要因素,由于双圆弧齿轮的轮齿是一个空间螺旋体,形状非常复杂,加上齿形设计灵活,因而利用先进的设计计算方法和计算机技术对双圆弧齿轮的齿形参数进行研究具有特别重要的意义。本文利用有限元方法、模糊优化等现代设计方法,就双圆弧齿轮的齿形参数对齿轮弯曲强度的影响进行了认真深入的分析研究,建立了一种寻求最优齿形参数获得合理齿形的方法。 本文利用ALGOR FEAS有限元软件系统,建立了双圆弧齿轮的三维有限元模型。整个三维模型通过程序自动生成,然后调入有限元程序中进行前后处理,实现了有限元分析模型的参数化,可以快捷方便地对不同齿形参数的齿形进行有限元计算和分析。 由于双圆弧齿轮齿形设计参数具有一定的离散性和模糊性,因此本文考虑约束条件的离散性和模糊性以及影响传动的种种因素的模糊性,采用模糊设计方法,建立了双圆弧齿轮齿形参数优化的数学模型,并结合实际算例进行分析,结果表明了模糊优化设计的可行性和实用性,是对过去双圆弧齿轮齿形参数普通优化设计的一种改进和提高。

【Abstract】 The tooth profile parameters are the important factors affecting load capacity and dynamatic capability of double circular arc gears. Double circular arc gears are the complex spacial helical gear, and the design of the profile parameters is very flexible. Therefore, in this dissertation, it is very important to study the tooth profile parameters optimum on double circular arc gears by means of modern design method and computer technique. According to the effect of the parameters to bending strength of double circular arc gears, this paper applies modern design method such as the finite element method (FEM) and fuzzy optimum method, and so on, to analysis and study further, in order to establish a method of the correct tooth profile by finding the optimum tooth profile parameters.In this paper, the FEM model of double circular arc gears is established by the ALGOR FEAS. The FEA model is generated automaticly by the compiled analysis program. Then deal with it in the FEA program and accomplish the parameterized FEA model. It can be analyzed by FEM efficiently and conveniently on the tooth profile of different tooth profile parameters.Because of the randomness and fuzziness of the design parameters of double circular arc gears, considering randomness and fuzziness of restrict conditions and influence factors in double circular arc gears, adopting fuzzy optimum design method, a optimum mathematical model of the tooth profile parameters of double circular arc gears is established. Some examples and their analysis results are also supplied to demonstrate the feasibility and practicability of fuzzy optimum design. Compare with the common optimum design method it is an improvement and development.

  • 【分类号】TH132.4
  • 【被引频次】7
  • 【下载频次】250
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