齿轮系统非线性动力学微分方程的渐进法  

Incremental method for solving dynamics differential equations of gear systems

作　　者：刘贵敏[1] 武宝林[1] 

机构地区：[1]天津工业大学机械电子学院,天津300160

出　　处：《机械设计与制造》2010年第2期26-27,共2页Machinery Design & Manufacture

基　　金：天津市高等学校科技发展基金资助项目(20030703)

摘　　要：利用渐进法研究了一类考虑时变啮合刚度和间隙的齿轮系统的非线性动力学微分方程,建立了这类模型的解的统一形式。通过计算表明,渐进法具有良好的通用性,尤其适用于求解大型非线性微分方程组。最后给出了渐进法的计算结果,并且验证能与数值计算结果很好地吻合。It non-linear dynamics of gear systems is researched based on Incremental method,where the time-varying stiffness and backlash are included.numerical calculation results proved that Incremental method can be used to solve all kinds of differential equations ,especially for solving large non-linear dif- ferential equations. Finally it give a calculation result of Incremental method,and verify the calculation re- sult the consistent with the numerical results with good agreement.

关 键 词：渐进法 齿轮系统 非线性动力学微分方程 

分 类 号：TH132.4[机械工程—机械制造及自动化]