Uncertainty and Sensitivity Analysis of Damage Identification Results Obtained Using Finite Element Model Updating

A full-scale seven-story reinforced concrete shear wall building structure was tested on the UCSD- NEES shake table in the period October 2005-January 2006. The shake table tests were designed so as to damage the building progressively through several historical seis- mic motions reproduced on the shake table. A sensitivity- based finite element (FE) model updating method was used to identify damage in the building. The estimation uncertainty in the damage identification results was ob- served to be significant, which motivated the authors to perform, through numerical simulation, an uncertainty analysis on a set of damage identification results. This study investigates systematically the performance of FE model updating for damage identification. The dam- aged structure is simulated numerically through a change in stiffness in selected regions of a FE model of the shear wall test structure. The uncertainty of the identified damage (location and extent) due to variability of five input factors is quantified through analysis-of-variance

[1]  F. Brezzi,et al.  On drilling degrees of freedom , 1989 .

[2]  C. Papadimitriou,et al.  Structural identification based on optimally weighted modal residuals , 2007 .

[3]  H. Adeli,et al.  Dynamic Fuzzy Wavelet Neural Network Model for Structural System Identification , 2006 .

[4]  Thomas F. Coleman,et al.  An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds , 1993, SIAM J. Optim..

[5]  Hoon Sohn,et al.  A review of structural health monitoring literature 1996-2001 , 2002 .

[6]  O. S. Salawu Detection of structural damage through changes in frequency: a review , 1997 .

[7]  Joseph A. C. Delaney Sensitivity analysis , 2018, The African Continental Free Trade Area: Economic and Distributional Effects.

[8]  D. Allman A quadrilateral finite element including vertex rotations for plane elasticity analysis , 1988 .

[9]  サイバネットシステム,et al.  MATLAB : high-performance numeric computation and visualization software : エクスターナルインタフェースガイド , 1994 .

[10]  Zhu Hong-ping,et al.  Detection of structural damage through changes in frequency , 2005, Wuhan University Journal of Natural Sciences.

[11]  André I. Khuri,et al.  Response surface methodology , 2010 .

[12]  Douglas C. Montgomery,et al.  Applied Statistics and Probability for Engineers, Third edition , 1994 .

[13]  Charles R. Farrar,et al.  A summary review of vibration-based damage identification methods , 1998 .

[14]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[15]  G. Roeck,et al.  Structural damage identification of the highway bridge Z24 by FE model updating , 2004 .

[16]  Arun Kumar Pandey,et al.  Damage detection from changes in curvature mode shapes , 1991 .

[17]  Joel P. Conte,et al.  System Identification Study of a 7-Story Full-Scale Building Slice Tested on the UCSD-NEES Shake Table , 2011 .

[18]  Hojjat Adeli,et al.  Dynamic Wavelet Neural Network for Nonlinear Identification of Highrise Buildings , 2005 .

[19]  R. H. Myers,et al.  Probability and Statistics for Engineers and Scientists , 1978 .

[20]  Jean-Louis Batoz,et al.  Evaluation of a new quadrilateral thin plate bending element , 1982 .

[21]  J Maeck,et al.  Dynamic Bending and Torsion Stiffness Derivation from Modal Curvatures and Torsion Rates , 1999 .

[22]  Melvin Alexander Applied Statistics and Probability for Engineers , 1995 .

[23]  R. Fox,et al.  Rates of change of eigenvalues and eigenvectors. , 1968 .

[24]  C. F. Jeff Wu,et al.  Experiments: Planning, Analysis, and Parameter Design Optimization , 2000 .

[25]  William Cyrus Navidi,et al.  Statistics for Engineers and Scientists , 2004 .

[26]  Babak Moaveni,et al.  System and damage identification of civil structures , 2007 .

[27]  Ling Zhang,et al.  Improved Damage Quantification from Elemental Modal Strain Energy Change , 2002 .

[28]  Douglas C. Runger Applied Statistics and Probability for Engineers, Third edition , 2003 .

[29]  Rune Brincker,et al.  Vibration Based Inspection of Civil Engineering Structures , 1993 .

[30]  Hojjat Adeli,et al.  Pseudospectra, MUSIC, and dynamic wavelet neural network for damage detection of highrise buildings , 2007 .