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

doi:10.13190/jbupt.200606.13.235

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2006, Vol. 29 ›› Issue (6): 13-16.doi: 10.13190/jbupt.200606.13.235

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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

Abstract

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

CLC Number:

TH113.2

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.

References

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

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