基于MATLAB的齿轮传动的优化设计  

The Optimum Design of Gear Transmission Based on MATLAB

作　　者：杨小芳[1] 李建华[1] 方宗德[1] 

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《北京联合大学学报》2010年第2期57-60,共4页Journal of Beijing Union University

基　　金：国家自然科学基金项目(50675176)

摘　　要：齿轮机构是应用最为广泛的传动机构,而传统的设计方法繁琐且不精确,将优化设计应用到齿轮设计上有效地解决了上述问题。在众多的优化设计软件中,MATLAB在编程和数值计算方面拥有明显的优势。以二级齿轮传动为例,在系统地分析了目标函数建立、设计变量选取和约束条件确定的基础上,建立了齿轮传动的数学模型,采用SQP算法求解该优化问题。结果表明采用MATLAB求解优化设计问题,不仅算法可靠有效,而且编程简单。Gear mechanism is the most popular transmission mechanism.However,conventional design methods are complex and inaccurate.The application of optimum design to gear design effectively solves the problems mentioned above.Among the numerous kinds of optimization software,MATLAB holds obvious predominance in program and numerical calculation.Take single gear transmission as an example.The math model of gear is founded systematically on the basis of analyzing the foundation of goal function,the selection of design variables and the confirmation of restrictive conditions and then is optimized by SQP algorithm.The results indicate that optimum design,by MATLAB,is effective,reliable and simple.

关 键 词：MATLAB 齿轮传动 优化设计 SQP算法 

分 类 号：TH132.41[机械工程—机械制造及自动化]