复杂轮系基本单元的运动特征状态数学建模

摘要

提出了复杂齿轮轮系运动分析的单元运动特征状态建模方法。通过研究复杂齿轮轮系构成规律，并分解其构成，定义了轮系基本单元；以齿轮原型机构为基础，利用机构拓扑特征构建了轮系基本单元构型图谱；构建了运动特征状态向量用以描述运动的类型和方向特征等属性，并利用状态方程建立了轮系基本单元的运动特征状态模型，为后续的轮系运动方案设计提供了理论基础。%This paper presented a new modeling approach for unit kinematic characteristic state on the motion analysis of compound gear trains.Gear basic units were defined according to studying the composite rules and decomposing the constitution of compound gear trains.Based on prototypes of gear basic units,gear mechanism diagrams of basic units were set up using topological characteristics of mechanism.Kinematic vector was built to describe the type and direction characteristics of motion. The kinematic characteristic model was established by using state equation.All of them provides a solid theoretical basis for kinematic conceptual design of gear trains.