9杆巴氏桁架的位置分析  

Displacement Analysis of a Nine-link Barranov Truss

作　　者：倪秀英[1,2] 王品[1,3] 李元元[1] 何士龙[1] 郑兆玺[1] 

机构地区：[1]鲁东大学交通学院,烟台264025 [2]大连海事大学,大连116026 [3]北京航空航天大学,北京100081

出　　处：《机械科学与技术》2008年第12期1629-1632,共4页Mechanical Science and Technology for Aerospace Engineering

摘　　要：以非平面基本运动链(9杆巴氏桁架)为研究对象,对其数学模型和消元过程进行了研究。使用复数向量法对9杆巴氏桁架4个回路建立几何关系,列出矢量方程组并转化成为复指数形式。使用Sylvester结式对4个多项式方程依次两两消元,得到一个一元50次的多项式方程,求解后使用辗转相除法求其他3个变量,完成位置分析。最后通过一个算例,验证了这种巴氏桁架的解析解的数目为50。The mathematics model and elliminiation process ranov truss） is studied. The vector equations are set up for number vector method, and the four equations are changed of the non-planar basic movement chain （ nine-bar Barfour loops of the nine-link Barranov truss by complex into complex exponential number form. A 50 degree univariate polynomial equation is deduced by using resultant elimination method. The other 3 variables are obtained by using Euclidean algorithm. Finally, it is verified that the number of analytical solutions of this kind of Barranov truss is 50 by a numerical example.

关 键 词：9杆巴氏桁架 位置分析 结式消元法 辗转相除法 

分 类 号：TH113.2[机械工程—机械设计及理论]