螺旋锥齿轮副非线性动力学研究

Research on nonlinear dynamics behavior of spiral bevel gear pair

一批螺旋锥齿轮中每个齿轮都有不同的齿侧间隙,且间隙值都是随机分布的。文章对螺旋锥齿轮间隙非线性方程求解出的结果引入随机装配间隙方法,在保证螺旋锥齿轮副有稳定响应结果的基础上,通过系统的混沌指数得到了间隙均值与方差的关系,从而为装配间隙均值匹配合适的临界方差,保证整批螺旋锥齿轮副的动态性能。

For a number of spiral bevel gears,the gear backlashes are different,and the backlash values are randomly distributed.In this paper,the random assembly backlash method is introduced into the result of spiral bevel gear backlash nonlinear equations.While assuring the steady response of spiral bevel gear pair,the chaotic index of the system is used to found connection between the variance and mean of the backlash,which can be fitted to match the appropriate critical variance with backlash mean to ensure the stable dynamic performance of the entire batch of spiral bevel gear pair.