Cosine based and extended transmissibility damage indicators for structural damage detection

Abstract Structural damage detection using vibration-based techniques and transmissibility is investigated and proposed with elaborating the mathematical interrelationship between modal assurance criterion (MAC) and cosine similarity measure. From this interrelationship, two new damage indicators, namely cosine based indicator (CI) and extended transmissibility damage indicator (ETDI), are drawn out. Even MAC and cosine similarity measure are normally adopted separately; their kernel agrees well with each other. In this study, we extend these two indicators, derive two new damage indicators, CI and ETDC, and apply them in a transmissibility based structural damage detection technique. In order to verify the feasibility of the developed damage indicators, experimental data for a three-story benchmark structure is adopted. The results from the benchmark demonstrate well performance of both indicators in damage detection, which might imply their potential applicability in further real engineering structures.

[1]  Nicoleta Gillich,et al.  Free Vibration of a Perfectly Clamped-Free Beam with Stepwise Eccentric Distributed Masses , 2016 .

[2]  Magd Abdel Wahab,et al.  Rapid early damage detection using transmissibility with distance measure analysis under unknown excitation in long-term health monitoring , 2016 .

[3]  Magd Abdel Wahab,et al.  Damage detection via transmissibility enhanced with similarity analysis and principal component analysis , 2016 .

[4]  Junjie Wu,et al.  Cosine interesting pattern discovery , 2012, Inf. Sci..

[5]  Nuno M. M. Maia,et al.  Strategies for an efficient indicator of structural damage , 2009 .

[6]  Elizabeth Cross,et al.  Linear approaches to modeling nonlinearities in long-term monitoring of bridges , 2013 .

[7]  Jean-Claude Golinval,et al.  A frequency domain correlation technique for model correlation and updating , 1997 .

[8]  Magd Abdel Wahab,et al.  Numerical study for single and multiple damage detection and localization in beam-like structures using BAT algorithm , 2017 .

[9]  R. Perera,et al.  Transmissibility based damage assessment by intelligent algorithm , 2022 .

[10]  A. P. V. Urgueira,et al.  A simple damage detection indicator using operational deflection shapes , 2016 .

[11]  Jun Ye,et al.  Improved cosine similarity measures of simplified neutrosophic sets for medical diagnoses , 2015, Artif. Intell. Medicine.

[12]  Antonio Ruiz,et al.  Performance assessment of multicriteria damage identification genetic algorithms , 2009 .

[13]  Eloi Figueiredo.  Damage identification in civil engineering infrastructure under operational and environmental conditions , 2010 .

[14]  Yunlai Zhou.  Structural health monitoringby using transmissibility , 2015 .

[15]  Yun-Lai Zhou,et al.  Damage detection using transmissibility compressed by principal component analysis enhanced with distance measure , 2018 .

[16]  Charles R. Farrar,et al.  Structural health monitoring algorithm comparisons using standard data sets , 2009 .

[17]  SamirĀ Khatir,et al.  Multiple damage detection and localization in beam-like and complex structures using co-ordinate modal assurance criterion combined with firefly and genetic algorithms , 2016 .

[18]  R. Andrew Swartz,et al.  Investigation of Time Series Representations and Similarity Measures for Structural Damage Pattern Recognition , 2013, TheScientificWorldJournal.

[19]  Y. E. Lage,et al.  Recent Advances on Force Identification in Structural Dynamics , 2012 .

[20]  A. M. R. Ribeiro,et al.  Using the Detection and Relative Damage Quantification Indicator (DRQ) with Transmissibility , 2007 .

[21]  Ricardo Perera,et al.  Damage detection in structures using a transmissibility‐based Mahalanobis distance , 2015 .

[22]  Randall J. Allemang,et al.  THE MODAL ASSURANCE CRITERION–TWENTY YEARS OF USE AND ABUSE , 2003 .

[23]  Yun Lai Zhou,et al.  Damage identification from power spectrum density transmissibility , 2012 .

[24]  Randall J. Allemang,et al.  A Correlation Coefficient for Modal Vector Analysis , 1982 .

[25]  Keith Worden,et al.  DAMAGE DETECTION USING OUTLIER ANALYSIS , 2000 .

[26]  Yunlai Zhou,et al.  Damage detection by transmissibility conception in beam-damage detection by transmissibility conception in beam-like structures , 2015 .

[27]  Wim Desmet,et al.  Vibration-based damage detection for a composite helicopter main rotor blade , 2016 .

[28]  Antonio Ruiz,et al.  An evolutionary multiobjective framework for structural damage localization and quantification , 2007 .

[29]  A. M. R. Ribeiro,et al.  A review of vibration-based structural health monitoring with special emphasis on composite materials , 2006 .

[30]  Hoon Sohn,et al.  A Review of Structural Health Review of Structural Health Monitoring Literature 1996-2001. , 2002 .

[31]  Simon Chesne,et al.  Damage localization using transmissibility functions: A critical review , 2013 .

[32]  Roger Serra,et al.  Damage detection and localization in composite beam structures based on vibration analysis , 2016 .

[33]  Yun-Lai Zhou,et al.  Structural damage detection using transmissibility together with hierarchical clustering analysis and similarity measure , 2017 .

[34]  E. Figueiredo,et al.  Damage Detection and Quantification Using Transmissibility Coherence Analysis , 2015 .

[35]  Jun Ye,et al.  Cosine similarity measures for intuitionistic fuzzy sets and their applications , 2011, Math. Comput. Model..

[36]  Nuno M. M. Maia,et al.  Whys and Wherefores of Transmissibility , 2011 .

[37]  Li Zhang,et al.  Learning similarity with cosine similarity ensemble , 2015, Inf. Sci..

[38]  Ricardo Perera,et al.  Single side damage simulations and detection in beam-like structures , 2015 .