基于复杂网络的桁架结构力学的特征分析

Characteristic Analysis of Truss Structure Mechanics Based on Complex Network

桁架结构力学特征研究对土木工程基础设施规划、设计、建造和维护的全生命周期具有重要意义,影响着土木工程科学与力学的融合发展。文中应用有限元与复杂网络的方法对指定的桁架结构进行特征分析,依据得到的应力图分解出强力链、中力链、弱力链,建立三种力链的无权无向网络模型,应用复杂网络方法研究应力图分解出的三种力链。结果表明桁架结构具有一定的复杂网络特性,强力链的聚类系数最小,平均路径长度最短,力链网络的传导“效率”最高。

The research on the mechanical characteristics of Truss structure is of great significance to the whole life cycle of civil engineering infrastructure planning,design,construction and maintenance,and has a profound impact on the integration of civil engineering science and mechanics.In this paper,the finite element method and complex network method are used to analyze the characteristics of the specified truss structure.According to the stress obtained,the strong chain,the middle chain and the weak chain are decomposed,and the unweighted undirected network models of the three kinds of force chains are established,the complex network method is used to study three kinds of force chains which are decomposed by stress Diagram.The results show that the truss structure has certain complex network characteristics,the clustering coefficient of the strong chain is the smallest,the average path length is the shortest,and the transmission efficiency of the force chain network is the highest.