Impact damage detection in smart composites using nonlinear acoustics—cointegration analysis for removal of undesired load effect

The paper presents a reliable methodology—based on nonlinear acoustics—for impact damage detection in composite materials. The nonlinear vibro-acoustic wave modulation technique is used to detect damage. The problem of operational variability of the method with respect to the selection of frequency and amplitude of low-frequency (LF) modal excitation is investigated. This problem is addressed using the concept of stationarity of time series of vibro-acoustic data. Cointegration analysis is employed to compensate for the effect of variable operational conditions associated with LF modal (or vibration) excitation in nonlinear vibro-acoustic wave modulations. Analysis of stationary statistical characteristics of vibro-acoustic responses—after cointegration analysis—are used for damage detection. The proposed method is validated using vibro-acoustic data from laminated composite plates and composite sandwich panels. The results demonstrate that the proposed approach can effectively compensate for the effect of LF modal excitation on nonlinear vibro-acoustic wave modulations and detect the damage more accurately and robustly than the existing nonlinear acoustics based on the analysis of modulation sidebands.

[1]  K. E.-A. Van Den Abeele,et al.  Nonlinear Elastic Wave Spectroscopy (NEWS) Techniques to Discern Material Damage, Part I: Nonlinear Wave Modulation Spectroscopy (NWMS) , 2000 .

[2]  V. K. Liew Which Lag Length Selection Criteria Should We Employ? , 2006 .

[3]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[4]  Wieslaw J. Staszewski,et al.  Crack detection using nonlinear acoustics and piezoceramic transducers—instantaneous amplitude and frequency analysis , 2010 .

[5]  Ruey S. Tsay,et al.  Analysis of Financial Time Series: Tsay/Analysis of Financial Time Series , 2005 .

[6]  Tadeusz Uhl,et al.  Nonlinear acoustics for fatigue crack detection – experimental investigations of vibro-acoustic wave modulations , 2012 .

[7]  Keith Worden,et al.  Cointegration: a novel approach for the removal of environmental trends in structural health monitoring data , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[8]  Wieslaw J. Staszewski,et al.  Lamb wave based structural damage detection using cointegration and fractal signal processing , 2014 .

[9]  Wieslaw J. Staszewski,et al.  Stationarity‐Based Approach for the Selection of Lag Length in Cointegration Analysis Used for Structural Damage Detection , 2017, Comput. Aided Civ. Infrastructure Eng..

[10]  Cointegration analysis and the choice of lag length , 2007 .

[11]  Andrew Y. T. Leung,et al.  Cointegration Testing Method for Monitoring Nonstationary Processes , 2009 .

[12]  Wieslaw J. Staszewski,et al.  Data normalisation for Lamb wave–based damage detection using cointegration: A case study with single- and multiple-temperature trends , 2014 .

[13]  Robert A. Guyer,et al.  Nonlinear Mesoscopic Elasticity: The Complex Behaviour of Granular Media Including Rocks and Soil , 2009 .

[14]  Francesco Aymerich,et al.  Impact damage detection in composite laminates using nonlinear acoustics , 2010 .

[15]  Stergios B. Fotopoulos,et al.  Modeling Financial Time Series With S-PLUS (2nd ed.), by Eric Zivot and Jiahui Wang , 2007 .

[16]  Keith Worden,et al.  Approaches to nonlinear cointegration with a view towards applications in SHM , 2011 .

[17]  S. Johansen STATISTICAL ANALYSIS OF COINTEGRATION VECTORS , 1988 .

[18]  Phong Ba DAO,et al.  Cointegration method for temperature effect removal in damage detection based on Lamb waves , 2013 .

[19]  Dario Di Maio,et al.  Impact damage detection in composite chiral sandwich panels using nonlinear vibro-acoustic modulations , 2012 .

[20]  W. Fuller,et al.  LIKELIHOOD RATIO STATISTICS FOR AUTOREGRESSIVE TIME SERIES WITH A UNIT ROOT , 1981 .

[21]  Peter Cawley,et al.  A study of the vibro-acoustic modulation technique for the detection of cracks in metals , 2006 .

[22]  Hoon Sohn,et al.  Effects of environmental and operational variability on structural health monitoring , 2007, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[23]  James D. Hamilton Time Series Analysis , 1994 .

[24]  W. Staszewski,et al.  Nonlinear acoustics with low-profile piezoceramic excitation for crack detection in metallic structures , 2006 .

[25]  Tadeusz Uhl,et al.  Impact damage detection in light composite sandwich panels using piezo-based nonlinear vibro-acoustic modulations , 2014 .

[26]  Tomasz Barszcz,et al.  Nonlinear Cointegration Approach for Condition Monitoring of Wind Turbines , 2015 .

[27]  Wieslaw J. Staszewski,et al.  Cointegration approach for temperature effect compensation in Lamb-wave-based damage detection , 2013 .

[28]  Tomasz Barszcz,et al.  Towards homoscedastic nonlinear cointegration for structural health monitoring , 2016 .

[29]  Francesco Aymerich,et al.  Impact damage detection in laminated composites by non-linear vibro-acoustic wave modulations , 2014 .

[30]  Alexander Sutin,et al.  Nonlinear acoustic interaction on contact interfaces and its use for nondestructive testing , 2001 .