Application of proper orthogonal decomposition and radial basis functions for crack size estimation using particle swarm optimization

12th International Conference on Damage Assessment of Structures

Benaissa, B.^1 ; Köppen, M.^2 ; Abdel Wahab, M.^3 ; Khatir, S.^3

LEMI, Department of Mechanical Engineering, University m'Hamed Bougara of Boumerdes, Algeria^1

Faculty of Computer Science and Systems Engineering, Department of Creative Informatics, Kyushu Institute of Technology, Japan^2

Department of Electrical Energy, Systems and Automation, Faculty of Engineering and Architecture, Ghent University, Belgium^3

关键词: Boundary displacements;    Complex engineering problems;    Crack size estimation;    Inverse identification;    Particle swarm optimization algorithm;    Proper orthogonal decomposition method;    Proper orthogonal decompositions;    Radial basis functions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/842/1/012014/pdf
DOI  :  10.1088/1742-6596/842/1/012014

来源: IOP

【 摘 要 】

Complex engineering problems require simulations, which are computationally expensive in cases of inverse identification tasks since they commonly requires hundreds of thousands of simulations. This paper propose a method based on model reduction for crack size estimation, combining the proper orthogonal decomposition method with radial basis functions. The reduced model is validated by comparing the obtained boundary displacements with the corresponding results from a finite element model. This inverse procedure is formulated as the minimization of the difference between the measured and computed values of displacement at selected boundary nodes, called sensor points, using particle swarm optimization algorithm. Convex and a non-convex specimens have been considered for investigations of crack presence, and identification of its size, different crack sizes have been tested to demonstrate the efficiency of the proposed approach.