一种非平面9杆巴氏桁架位移分析的研究

doi:10.13190/jbupt.200606.13.235

北京邮电大学学报 ›› 2006, Vol. 29 ›› Issue (6): 13-16.doi: 10.13190/jbupt.200606.13.235

一种非平面9杆巴氏桁架位移分析的研究

庄育锋，王品，廖启征

北京邮电大学自动化学院，北京 100876

收稿日期:2005-11-08 修回日期:1900-01-01 出版日期:2006-12-30 发布日期:2006-12-30
通讯作者: 庄育锋

Research on Displacement Analysis of a Kind of Non-Planar Nine-Link Barranov Truss

ZHUANG Yu-feng, WANG Pin, LIAO Qi-zheng

School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876,China

Received:2005-11-08 Revised:1900-01-01 Online:2006-12-30 Published:2006-12-30
Contact: ZHUANG Yu-feng

摘要/Abstract

摘要：

使用复数向量法对一种非平面9杆巴氏桁架进行了位移分析。首先建立4个回路几何关系，列出矢量方程组，并转化成为复指数形式；然后使用Sylvester结式对4个多项式方程消元，直接得到一元46次方程，再用辗转相除法求其他3个变量。最后通过一个算例，验证了这种巴氏桁架的装配构形数目最多为46。

关键词: 非平面9杆巴氏桁架 , 位移分析 , 结式消元法, 辗转相除法

Abstract:

Four vector equations are established for the non-planar nine-link Barranov truss. A vector method with complex numbers according to four loops and its equations are changed onto an equitation group with complex exponential form. Above all, the 4 equations are reduced to a 46 degree univariate polynomial equation by Sylvester resultant elimination and the other 3 variables are solved by Euclid’s Algorithm. A numerical example is given, it verifies that assembly configurations number of the Barranov truss is 46.

Key words: non-planar nine-link Barranov truss, resultant elimination, polynomial remainder method, displacement analysis

中图分类号:

TH113.2

庄育锋，王品，廖启征. 一种非平面9杆巴氏桁架位移分析的研究[J]. 北京邮电大学学报, 2006, 29(6): 13-16.

ZHUANG Yu-feng, WANG Pin, LIAO Qi-zheng. Research on Displacement Analysis of a Kind of Non-Planar Nine-Link Barranov Truss[J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2006, 29(6): 13-16.

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一种非平面9杆巴氏桁架位移分析的研究

Research on Displacement Analysis of a Kind of Non-Planar Nine-Link Barranov Truss

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