机械系统的运动传递与变换矩阵分析方法

提出一种机械系统运动变换的矩阵分析方法 ,建立了机构和机械系统运动类型变换、方向变换及运动变换的大小和特征的数学模型。定义了基本机构运动类型变换矩阵、运动方向变换矩阵 ,引入运动传递函数来表征运动的大小及特征 ,阐述了传递函数与运动方向变换矩阵的内在联系 ,讨论了其相应性质 ;综合运用运动类型与方向变换矩阵以及运动传递函数分析多个基本机构串联组成的机械系统所具有的类型、方向与运动特征和性质 ,建立了机械系统运动变换的统一数学模型 ,并给出计算实例。

An Analyzing Approach to Mechanical System with Motion Transmission and Transformation Matrix

A new matrix analyzing approach to conceptual design based on the motion transmission of a mechanical system is presented in this paper.The motion type transformation matrix and the motion direction transformation matrix of basic mechanisms is firstly defined. Further more, the motion transfer function is employed to present the dimension and characteristics of the motion. Their respective properties and internal relations are discussed, too. And then, the matrices and function are applied comprehensively to analyze the motion type, direction and characteristics of a mechanical system concatenated with several basic mechanisms. Hereby a unified mathematical model is built to describe the motion transformation of a mechanical system. Finally, an example is given to show the feasibility and validity of the approach.