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Finite element model updating using strain‐based power spectral density for damage detection
Author(s) -
Pedram Masoud,
Esfandiari Akbar,
Khedmati Mohammad Reza
Publication year - 2016
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.1833
Subject(s) - truss , finite element method , sensitivity (control systems) , structural health monitoring , metric (unit) , algorithm , frame (networking) , spectral density , reduction (mathematics) , mathematics , computer science , mathematical optimization , structural engineering , engineering , electronic engineering , statistics , geometry , telecommunications , operations management
Summary In this paper a new sensitivity‐based finite element (FE) model updating method using spectral density of strain as metric is introduced, which is applicable for damage detection and structural health monitoring purposes. Derivation of the sensitivity equation is exact without any need for approximation. A set of incompletely measured natural frequencies and damping loss factors of the damaged structure is used to deal with incomplete measurement without implementation of the FE model reduction or data expansion algorithms. The insights provided from the distribution of the spectral strain energy among the elements in the intact model are used for selection of excitation location. The solution to the developed sensitivity equation is achieved by linear least square and imposing unprejudiced side constraints on the design variables. The proposed method is successfully examined on the FE model of a 3D truss and frame structure and is capable of localization and quantification of damage. The method is robust against measurement, natural frequency, and mass modeling error. Copyright © 2016 John Wiley & Sons, Ltd.