Forward displacement analysis of a kind of nine-link Barranov truss based on Dixon resultants

作者：Wang Pin^*; Liao Qizheng; Wei Shimin; Zhuang Yufeng

来源：China Mechanical Engineering, 2006, 17(21): 2204-2208.

• nine-link Barranov truss
• forward displacement analysis
• Dixon resultants
• Homotopy continuations method
• GCD of polynomial

The forward displacement analysis on a kind of 2-coupled-degree nine-link Barranov truss was completed by using Dixon resultants. Four vector equations were established by vector method with complex numbers according to four loops. Adopting Dixon method to construct a 22 × 22 Dixon matrix and extracting the greatest common divisor of two matrix rows, a 60 order univariate polynomial equation was obtained by expanding the determinant of the matrix and 4 extraneous roots were canceled in the process of solving the other 3 variables. Moreover, the same result can be obtained by using Homotopy continuations method. At last, a numerical example was given and it verifies that the number of assembly configurations of this kind of Barranov truss is not greater than 56.

• 出版日期2006
• 单位北京邮电大学