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

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.