Damage Identification of Continuous Girder Bridge’s Dynamic Behavior Based on Trust Region Algorithm

Abstract

In view of trust region algorithm has good global convergence for solving non-linear quadratic programming problem, the effective elastic module’s damage factor and the damage distributed function was introduced by FEM updating. FEM of bridge structure was modeled by calling the APDL language of ANSYS software’s subprogram in Matlab software’s environment, the parameters of some finite elements (element groups) were adjusted by using trust region algorithm, damage distributed curve of continuous region’s finite elements (element groups) was fitted by continuous damage distributed interpolation polynomial, and identification of continuous girder bridge’s damage region and damage extent was realized. By a numerical example, it is suggested that the method can correctly and effectively estimate whether bridge structure occurs damage, damage region and damage extent, the precision and the accuracy can be improved by secondary dividing finite elements (element groups).