Computational model for supporting SHM systems design: Damage identification via numerical analyses

Abstract This work presents a computational model to simulate thin structures monitored by piezoelectric sensors in order to support the design of SHM systems, which use vibration based methods. Thus, a new shell finite element model was proposed and implemented via a User ELement subroutine (UEL) into the commercial package ABAQUS™. This model was based on a modified First Order Shear Theory (FOST) for piezoelectric composite laminates. After that, damaged cantilever beams with two piezoelectric sensors in different positions were investigated by using experimental analyses and the proposed computational model. A maximum difference in the magnitude of the FRFs between numerical and experimental analyses of 7.45% was found near the resonance regions. For damage identification, different levels of damage severity were evaluated by seven damage metrics, including one proposed by the present authors. Numerical and experimental damage metrics values were compared, showing a good correlation in terms of tendency. Finally, based on comparisons of numerical and experimental results, it is shown a discussion about the potentials and limitations of the proposed computational model to be used for supporting SHM systems design.

[1]  Anindya Ghoshal,et al.  STRUCTURAL HEALTH MONITORING OF AN AIRCRAFT JOINT , 2003 .

[2]  K. M. Bajoria,et al.  Free vibration and stability analysis of piezolaminated plates using the finite element method , 2013 .

[3]  Leonardo Lecce,et al.  Experimental and Numerical Activities on Damage Detection Using Magnetostrictive Actuators and Statistical Analysis , 2000 .

[4]  Ulrich Gabbert,et al.  Accurate Modeling of the Electric Field within Piezoelectric Layers for Active Composite Structures , 2007 .

[5]  Julián Bravo-Castillero,et al.  Numerical and analytical analyses for active fiber composite piezoelectric composite materials , 2015 .

[6]  Pizhong Qiao,et al.  Vibration-based Damage Identification Methods: A Review and Comparative Study , 2011 .

[7]  Y. Y. Li,et al.  Hypersensitivity of strain-based indicators for structural damage identification: A review , 2010 .

[8]  Jyrki Kullaa,et al.  Three-way analysis of Structural Health Monitoring data , 2010, 2010 IEEE International Workshop on Machine Learning for Signal Processing.

[9]  S. K. Hwang,et al.  Finite element analysis for damage monitoring of glass fiber epoxy composites via the piezoelectric method , 2014 .

[10]  Roger Ohayon,et al.  Finite element formulation of smart piezoelectric composite plates coupled with acoustic fluid , 2012 .

[11]  Eun-Taik Lee,et al.  Damage detection from the variation of parameter matrices estimated by incomplete FRF data , 2012 .

[12]  E. Peter Carden,et al.  Vibration Based Condition Monitoring: A Review , 2004 .

[13]  Volnei Tita,et al.  A finite element formulation for smart piezoelectric composite shells: Mathematical formulation, computational analysis and experimental evaluation , 2015 .

[14]  Maria Augusta Neto,et al.  A triangular finite element with drilling degrees of freedom for static and dynamic analysis of smart laminated structures , 2012 .

[15]  Subhadarshi Nayak,et al.  Structural Health Monitoring: State of the Art and Perspectives , 2012 .

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

[17]  Li Cheng,et al.  Development in vibration-based structural damage detection technique , 2007 .

[18]  Grant P. Steven,et al.  VIBRATION-BASED MODEL-DEPENDENT DAMAGE (DELAMINATION) IDENTIFICATION AND HEALTH MONITORING FOR COMPOSITE STRUCTURES — A REVIEW , 2000 .

[19]  Levent Malgaca,et al.  Integration of active vibration control methods with finite element models of smart laminated composite structures , 2010 .

[20]  Santosh Kapuria,et al.  Coupled efficient layerwise and smeared third order theories for vibration of smart piezolaminated cylindrical shells , 2012 .

[21]  Arnaud Deraemaeker,et al.  Electric Field Distribution in Macro Fiber Composite Using Interdigitated Electrodes , 2008 .

[22]  Gangbing Song,et al.  Proof-of-concept experimental study of damage detection of concrete piles using embedded piezoceramic transducers , 2013 .

[23]  Charles R. Farrar,et al.  A review of nonlinear dynamics applications to structural health monitoring , 2008 .

[24]  Oded Rabinovitch,et al.  Geometrically nonlinear behavior of piezoelectric laminated plates , 2005 .

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

[26]  Ulrich Gabbert,et al.  Degenerated shell element for geometrically nonlinear analysis of thin-walled piezoelectric active structures , 2008 .

[27]  Tamara Nestorović,et al.  Implementation of a user defined piezoelectric shell element for analysis of active structures , 2012 .

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