齿轮箱非线性耦合系统的动力学分析  

Dynamic analysis of nonlinear coupled system of gear box

作　　者：王志东[1,2] 霍睿[1,2] 张道坤[1,2] 

机构地区：[1]山东大学机械工程学院,济南250061 [2]山东大学高效洁静机械制造教育部重点实验室,济南250061

出　　处：《计算力学学报》2016年第6期911-917,共7页Chinese Journal of Computational Mechanics

基　　金：山东省科技发展计划(2015GGX101006)资助项目

摘　　要：分别建立了啮合齿轮子系统弯扭耦合振动模型、弹性轴子系统的弯曲振动和扭转振动模型以及齿轮箱弹性箱板子系统的横向振动模型,通过轴承多维刚度矩阵和子结构之间的受力变形协调关系将各子结构的振动模型联立起来,从而得到整个齿轮箱耦合系统的动力学模型。结合相图和庞加莱映射图分析了系统的运动特性,采用功率流方法研究了系统振动能量传递特性及其影响因素,揭示了外部激励和轴承刚度等因素对系统特性的影响,为齿轮箱系统的振动控制与结构设计提供了新的分析方法和理论依据。The meshing gear subsystem of bend torsion coupling vibration model, the axis subsystem of elastic bending vibration and torsional vibration model and the elastic box board subsystem of transverse vibration model are established to get the whole vibration model through the bearing multi-dimensional stiffness matrix and deformation coordinate relations between the subsystems. Phase diagram and poincare map are utilized here to get the movement characteristics of gear box system. And vibration energy is also studied by theory of power flow to have a better understanding of the system performance influenced by the external motivation,bearing stiffness,which provides a new analysis method and theoretical basis for vibration control and structure design of gear box system.

关 键 词：齿轮箱 非线性 功率流 振型叠加 多维刚度 

分 类 号：TH131.1[机械工程—机械制造及自动化] O313[理学—一般力学与力学基础]