振动同步系统中的耦合效应  

Coupling Effect in a Synchronous Vibration System

作　　者：张天侠[1] 鄂晓宇[1] 闻邦椿[1] 

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2003年第9期839-842,共4页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(50275024);沈阳市科学技术计划项目(1022041 1 09).

摘　　要：自同步振动系统是具有典型的协同运动特征的机械动力学系统·系统中两个偏心转子的回转运动相互影响,产生耦合效应,从而改变了系统的运动特征和运动形态·应用非线性振动分析方法建立了系统偏心转子耦合运动的微分方程,给出了耦合参数的数学描述;基于相空间原理,分析了系统耦合运动的非线性特性以及耦合强度对系统运动平衡状态的影响,确定了耦合参数的变化范围;深入研究了偏心转子同步运动的演化过程,导出了系统形成同步运动状态的耦合条件,给出了振动同步系统结构参数设计和选择的工程方法·Selfsynchronous vibration system is a mechanical dynamic system with features of synergistic motion. In the system, the coupling effect comes from the interaction between the rotary motions of two eccentric rotors, thus changing the motional characteristics and forms of the system. A differential equation was derived with an analytical method of nonlinear vibration for the coupling motion of two eccentric rotors to describe mathematically the coupling parameters of the system. Based on the phase space theory, the nonlinear characteristics of coupling motion were analyzed, as well as the influence of coupling intensity on the equilibrium state. The variation range of coupling parameters was also defined. Furthermore, the synchronization development course of two eccentric rotors was studied in depth, and the necessary coupling conditions to form a synchronization state are deducted. Finally, engineering applications of synchronous vibration system were discussed, including the design and selection of structural parameters.

关 键 词：耦合效应 协同 平衡态 同步 非线性振动 偏心转子 

分 类 号：TH113[机械工程—机械设计及理论]