螺旋锥齿轮副非线性动力学研究
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摘要
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.
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.
引文
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[2]JIANG X.Non-linear torsional dynamic analysis of hypoid gear pairs[D].Tuscaloosa Alabama:The University of Alabama,2002.
[3]WANG H,LIM T C.Analysis of the mesh characteristics of hypoid gear pair dynamics[C]//ASME 2003International Design Engineering Technical Conferences and Computers and Information in Engineering Conference.[S.l.]:ASME,2003:425-431.
[4]TANAKA N,OHNO K,INNAMI T.GDN-6dynamic load on spiral bevel gears[C]//The JSME International Conference on motion and Power Transmission.Fukuoka:[s.n.],2001:27-32.
[5]王三民,沈允文,董海军.含间隙和时变啮合刚度的弧齿锥齿轮传动系统非线性振动特性研究[J].机械工程学报,2003,39(2):28-32.
[6]曾凡灵.考虑随机装配间隙的变速器齿轮副非线性动力学研究[D].合肥:合肥工业大学,2009.
[7]冯治恒.螺旋锥齿轮多体多自由度非线性动力学研究[D].重庆:重庆大学,2010.
[8]武冠宏,赵韩,吴占雨,等.基于三坐标测量的螺旋锥齿轮检测关键技术[J].合肥工业大学学报(自然科学版),2015,38(4):437-440.
[9]卢剑伟,刘梦军,赵韩.随机参数下齿轮非线性动力学行为[J].中国机械工程,2009,20(3):330-333.
[10]张静,刘树元.影响齿轮加工精度的主要因素[J].机械传动,2008,121(1):30-31.
[2]JIANG X.Non-linear torsional dynamic analysis of hypoid gear pairs[D].Tuscaloosa Alabama:The University of Alabama,2002.
[3]WANG H,LIM T C.Analysis of the mesh characteristics of hypoid gear pair dynamics[C]//ASME 2003International Design Engineering Technical Conferences and Computers and Information in Engineering Conference.[S.l.]:ASME,2003:425-431.
[4]TANAKA N,OHNO K,INNAMI T.GDN-6dynamic load on spiral bevel gears[C]//The JSME International Conference on motion and Power Transmission.Fukuoka:[s.n.],2001:27-32.
[5]王三民,沈允文,董海军.含间隙和时变啮合刚度的弧齿锥齿轮传动系统非线性振动特性研究[J].机械工程学报,2003,39(2):28-32.
[6]曾凡灵.考虑随机装配间隙的变速器齿轮副非线性动力学研究[D].合肥:合肥工业大学,2009.
[7]冯治恒.螺旋锥齿轮多体多自由度非线性动力学研究[D].重庆:重庆大学,2010.
[8]武冠宏,赵韩,吴占雨,等.基于三坐标测量的螺旋锥齿轮检测关键技术[J].合肥工业大学学报(自然科学版),2015,38(4):437-440.
[9]卢剑伟,刘梦军,赵韩.随机参数下齿轮非线性动力学行为[J].中国机械工程,2009,20(3):330-333.
[10]张静,刘树元.影响齿轮加工精度的主要因素[J].机械传动,2008,121(1):30-31.