平面高级杆组装配构形的计算机代数解  

Computer algebra solution for assembly configuration of planar senior bar group

作　　者：顾德裕[1] 

机构地区：[1]苏州大学机电工程系,江苏苏州215021

出　　处：《机械设计》2003年第10期20-22,共3页Journal of Machine Design

摘　　要：建立了平面高级杆组装配构形的位置方程,应用计算机代数法,经过逐次消元,导出了对应装配构形位置方程的一系列导出方程组,由此得到了用结构参数表示的该类杆组装配构形全部位置的符号解。并根据Bezout结式及其相应各阶顺序主子式,分析了杆组结构参数对装配构形数目的影响。从理论与实践上解决了该类杆组装配构形分析使用常规迭代法的所带来的各种弊端。Positional equations for assembly configuration of planar senior bar group are established.By applying computer algebra method and through sequential elimination,a series of coupled equations corresponding to positional equations of assembly configuration are derived.Thus obtained synbolic solutions being expressed by structural parameters,for entire positions of assembly configuration of this kind of bar group.The effect upon numbers of assembly configuration affected by structural parameters of bar group was analyzed according to Bezout's resultant and its corresponding sequential principal minor of every order.Various drawbacks brought about by the use of conventional iteration method in the analysis of assembly configuration of this typed bar group was solved both in theory and practice.

关 键 词：平面高级杆组 装配构形 位置方程 计算机代数解 计算机代数法 迭代法 

分 类 号：TH112[机械工程—机械设计及理论] TP391.75[自动化与计算机技术—计算机应用技术]