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本文从位移法平衡方程组出发,导出框架角变传播矩阵元素的普遍表达式。并在建立“抽象结构图”概念的基础上,应用图论中线性系统拓朴分析的方法来解框架问题。拓朴方法对于无侧移框架和有侧移框架同样适用,并且求解过程物理概念清晰、形象直观,给传播和传播系数赋予了新的含义。
In this paper, starting from the balance equations of the displacement method, the universal expressions of the elements of the angular transformation propagation matrix are derived. And based on the concept of “abstract structure diagram”, the linear system topological analysis method in graph theory is applied to solve the framework problem. The topology method is also applicable to the non-laterally moving frame and the laterally moving frame, and the physics concept of the solution process is clear and intuitive, which gives new meanings to the propagation and propagation coefficients.