A structural defect identification approach based on a continuum damage model |
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Affiliation: | 1. Université du Maine, LAUM, UMR CNRS n°6613, Av. O. Messiaen, 72085 Le Mans cedex 9, France;2. Laboratoire Modelisation Mecanique et Production, Ecole Nationale d’Ingenieur de Sfax, Tunisia;1. Institut für Mechanik, Fakultät für Ingenieurwissenschaften/Abteilung Bauwissenschaften, Universität Duisburg-Essen, Universitätsstr. 15, 45141 Essen, Germany;2. Institut für Mechanik und Flächentragwerke, Fakultät Bauingenieurwesen, and Dresden Center for Computational Materials Science, Technische Universität Dresden, 01062 Dresden, Germany;1. Polytechnic Department of Engineering and Architecture, University of Udine, via Cotonificio 114, 33100 Udine, Italy;2. Department of Continuum Mechanics and Structural Analysis, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Leganés, Madrid, Spain;1. Department of Mechanical Engineering, University of Mazandaran, Babolsar 47416-13534, Iran;2. Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran |
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Abstract: | This paper introduces a structural identification technique built on finite element (FE) model updating. The FE model is parameterized by a structural parameter that continuously describes the damage in the structure, and besides, an evolution equation of this damage parameter is presented. The model updating is accomplished by determining the subset of this damage parameters that minimizes a global error derived from the dynamic residue vectors, which is obtained by introducing the experimental modal properties into the original model eigenproblem. A mode-shape projection technique is used in order to achieve compatibility between the dimension of the experimental and analytical models. The adjusted model maintains basic properties of the analytical model as the sparsity and the symmetry, which plays an important role in model updating-based damage identification. The verification and assessment of the current structural defect identification is performed on a analytically derived bidimensional truss structure and on a cantilever bidimensional Euler–Bernouilli beam through a virtual test simulator. This simulator is used to realistically simulate the corrupting effects of noise, filtering, digital sampling and truncation of the modal spectrum. The eigensystem realization algorithm along with the common-based normalized system identification were utilized to obtain the required natural frequencies and mode shapes. |
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