Xiao Pendong, Zhang Rongrui, Huang Yumin Department of Mechanical and Electrical Engineering. A NEN METHOD OF USING VECTOR-MATRIX TO SOLVING A DIMENSIONAL CHAIN IN PLANE[J]. Journal of Civil and Environmental Engineering, 1991, 13(2).
Xiao Pendong, Zhang Rongrui, Huang Yumin Department of Mechanical and Electrical Engineering. A NEN METHOD OF USING VECTOR-MATRIX TO SOLVING A DIMENSIONAL CHAIN IN PLANE[J]. Journal of Civil and Environmental Engineering, 1991, 13(2). DOI: 10.11835/j.issn.1674-4764.1991.02.002.
平面尺寸链的矢量矩阵法求解
摘要
机器设计和制制造中的平面尺寸链问题
直到目前为止仍大多是应用平面几何法求解
计算过程复杂
而且无通用规则可寻;本文提出了应用矢量矩阵理论来求解平面尺寸链
这种新方法可以简化运算过程
并且有利于应用计算机进行计算.计算是应用罗得里克公式建立矢量回转的矩阵
然后编制计算机程序求解
文中结合一个实例具体运算
所得结果和用几何法计算结果相同.
Abstract
In this paper
a new method of using vector-matrix tosolving a dimensional chain in plane is presented.A mathematical modelis established by means of Rodrig's formula
and the computer programof this method is provided.It is more general and convenient than thegeometric calculation.The numerical calculation is presented in connec-tion with a practical example.The result is the same as that of geometricmethod.