A Recursive Algorithm for Determining the Profile of the Spatial Self-anchored Suspension Bridges

作     者：Li, Tao Liu, Zhao 

作者机构：Southeast Univ Sch Civil Engn Nanjing 31470 Jiangsu Peoples R China 

出 版 物：《KSCE JOURNAL OF CIVIL ENGINEERING》 (KSCE土木工程杂志)

年 卷 期：2019年第23卷第3期

页      面：1283-1292页

核心收录：

学科分类：08[工学] 0813[工学-建筑学] 0814[工学-土木工程] 

基　　金：National Natural Science Foundation of China 

主　　题：recursive algorithm self-anchored suspension bridge spatial cable IIM optimization unstrained length 

摘      要：Determining the final state of a suspension bridge involves the optimization problem to obtain the cable tensions which can balance the dead load. For the long-span suspension bridges, the optimization problem is complex because there can be hundreds of variables to identify in this process. In present work, the simultaneous equations describing the equilibrium state of the cable system are set up. With the proposed recursive algorithm, these equations, which shall include a number of unknown variables, are simplified into a concise form in which exist only three unknowns. On this basis, the coupled three nonlinear equations are solved by the proposed method of the Interacting Influence Matrix (IIM) optimization. After solving the coupled equation, all the unknown parameters including the tensions and positions of the cables can be determined analytically. Last, an example is used to demonstrate the correctness and effectiveness of the proposed processes.