具有任意连接和约束的空间杆系结构静力分析的回传波矩阵法

本文发展了具有任意连接和约束的空间杆系结构静力分析的回传波矩阵法。以杆端位移和转角为基本未知量，通过结构所有节点的平衡方程和位移协调条件，推导出传递分配矩阵和载荷源向量，并进一步利用设定的同一杆件两个局部坐标系下杆端位移之间的关系，最终得到结构的回传矩阵。据此可求出结构所有杆件的杆端位移及杆端内力。对不同的杆件连接形式，如刚接、铰接、半刚接，以及不同的约束情况，如固定支座、铰支座、定向支座等，本文推导出了空间杆系结构的回传波矩阵表达式，可直接用于相应空间杆系结构内力的计算。同时，针对一个具体刚架结构进行了算例分析，并通过与弯矩分配法和有限元结果的比较，验证了本文方法的精确度。

Reverberation Matrix Method for Static Analysis of Space Structures Composed of Bar Elements under Arbitrary Connection and Constraint Conditions

A reverberation matrix method was developed for static analysis of space structures composed of bar elements under arbitrary connection and constraint conditions.The displacements and rotational angles at the ends of each bar member were chosen as unknown quantities,the carry-over and distribution matrix and source vector were constructed based on the equilibrium equations and compatibility conductions for displacements of each joint.Further,a reverberation matrix was formulated by using the relation betwee...