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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 916820, 22 pages
Research Article

Seismic-Parameter-Based Statistical Procedures for the Approximate Assessment of Structural Damage

Department of Civil Engineering, Institute of Structural Mechanics and Earthquake Engineering, Democritus University of Thrace, Vas. Sofias 12, 67100 Xanthi, Greece

Received 9 August 2013; Revised 2 January 2014; Accepted 6 January 2014; Published 23 February 2014

Academic Editor: Yuri Petryna

Copyright © 2014 A. Elenas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study describes two statistical methodologies to estimate the postseismic damage status of structures based on seismic parameters as novel combined procedures in earthquake engineering. Thus, a multilinear regression analysis and discriminant analysis are utilized considering twenty seismic parameters. Overall damage indices describe the postseismic damage status. Nonlinear dynamic analyses furnish the damage indices, which are considered as exact indices and references for the subsequent study. The aim is to approximate the postseismic damage indices or the damage grade of buildings using statistical methods, thus avoiding complex nonlinear dynamic analyses. The multilinear regression procedure evaluates the damage indices explicitly, and the discriminant analysis furnishes the damage grade of the structures. The proposed methods are applied to a frame structure. A set of 400 natural accelerograms is used for the training phase of the models. The quality of the models is tested initially by the same set of natural accelerograms and then by a blind prediction using a second set of synthetic accelerograms. The results of both proposed methods have shown a correct classification percentage ranging from 87.75% to 97.50% and from 70% to 90% for the sets of the natural and synthetic accelerograms, respectively.