【作者】 王淑杰；

【导师】 吕新生；

【作者基本信息】 合肥工业大学 ， 机械电子工程， 2005， 硕士

【摘要】 与定速比传动的圆齿轮不同,非圆齿轮能实现变速比传动,广泛应用与轻工、纺织、烟草、食品等机械中,在机构创新设计中具有重要作用。但是,由于其设计计算复杂、加工制造困难,长期以来限制了非圆齿轮更为广泛的应用。进入20世纪70年代以后,随着计算机技术和数控技术的发展,掀起了新的一轮非圆齿轮研究及应用热潮,因而被称为非圆齿轮的“再发明(Rediscovering)”。 齿轮数控技术的发展解决了非圆齿轮加工制造困难的问题。但是,现有文献中给出的设计方法(包括计算机辅助设计方法)均属于基于分析的设计方法,即:给定一组参数,得到分析计算(校核计算)结果,如发现不妥,则修改给定参数,在做分析与校核,具有较大的盲目性,设计周期冗长,设计质量也难以保证。 本文针对非圆齿轮设计计算复杂的问题,将优化设计的概念引入非圆齿轮设计。因为非圆齿轮的设计过程可表述为:在给定传动比变化规律的前提下,选取一组几何参数,在保证齿轮正确啮合、连续传动的约束下(还可包括强度、刚度等约束),尽可能逼近给定的传动比变化规律,其本质是一个优化问题。 本文分别给出椭圆齿轮、变性椭圆齿轮、偏心齿轮三种封闭性非圆齿轮传动的多目标优化设计数学模型;依据啮合基本定理(Willis)推导和完善了非圆齿轮传动设计的有关公式;编写了非圆齿轮传动优化设计程序。 经过使用本文的优化设计程序对以往的有关算例进行计算并比较,证明了,引入优化设计概念进行非圆齿轮传动的设计,是一种基于综合的设计方法,无须反复试凑参数和进行校核修正,能满足工程设计的不同需要,改善设计质量,提高一次成功率,具有重要的理论与实际意义。更多还原

【Abstract】 Different from circular gear-drives with constant speed ratio, non-circular gears can realize the variable velocity-rate transmission , they are widely used in light industry-,textile-,tobacco- and foodstuff-machines, and play an important role in the creative design of mechanism. But because of its complex calculation in design and difficult manufacture , the more widely application of non-circular gear-drive has been limited for a long time. From 70s of the 20th century , following the development of computer and numerical control technology , a new tide of researching and application of non-circular gear-drive , so called the ’rediscovering’ of non-circular gears , is coming in .The NC technology has solved the difficulty of manufacture for non-circular gears , But all the design methods (include CAD methods) for non-circular gear-drive resent by current literatures are based on repeated analysis , that is : give a group of parameters , get the analysis - or proof-calculation result , if the result does not satisfy the design request , then modify the given parameters , analysis -or proof-calculate again . The choice of parameter is blind in a certain degree , the design period is long and the design quality is difficult to guarantee .Based on complex calculation in non-circular gear-drive’s design, This paper introduces the optimization technique into the design of non-circular gear-drive , because the procedure can be illustrated as : given the variation rule of speed ratio , choice a group of geometric parameters , under the constraints of keeping the tooth correctly joggled and transmitted continuously ( as well as enough strength and rigidity) , to approach the given variation law of speed ratio as near as possible .It is characteristically an optimization procedure:Mathematical models of optimal design for three kinds of closed-type non-circular gear-drives are presented in this paper : the ellipse gear-drive , the variant ellipse gear-drive and the eccentric gear-drive . deduce and perfect a set of calculation formula for the design of non-circular gear-drive , compile the optimization program of non-circular gear-drive’s design.Compare the results of examples by using optimization methods, it proves that Using optimization methods to design non-circular gear-drive is a synthesis-basedmethod , it can avoid the repeated modify of parameter and the repeated proof-calculation in design , and satisfy the varied engineering demands , improve the design quality and make the design rapid and more successful . It has an important sense.更多还原