一种7杆巴氏桁架及其与之相关的 Assur 杆组的位移分析

The Closed Form Displacement Analysis of a Seven Link Barranov Truss and All the Assur Groups Connected with It

在对一种７杆巴氏桁架位移分析问题进行研究的同时，建立了一个该巴氏桁架和与之相关的所有三种Ａｓｓｕｒ杆组之间的代数关系式，根据此关系式，这三种Ａｓｓｕｒ杆组位移分析可以采用完全相同的方法求解，最后可以得到一个１８次的输入输出方程。通过对方程次数的判定，证明所得的结果无增根。

This paper presents the closed form displacement analysis of a seven link Barranov truss.Furthermore, the algebraic relations between this Barranov truss and all the concerned three Assur groups connected with it have been established. According to the algebraic relations, displacement analysis of these Assur groups can be performed by the same method.At last, the problem is reduced to a 18th degree polynomial equation with a single unknown, which is proved to be containing no extraneous root.