Using chaotic interrogation and attractor nonlinear cross-prediction error to detect fastener preload loss in an aluminum frame.

Structural health monitoring is an important field concerned with assessing the current state (or "health") of a structural system or component with regard to its ability to perform its intended function appropriately. One approach to this problem is identifying appropriate features obtained from time series vibration responses of the structure that change as structural degradation occurs. In this work, we present a novel technique adapted from the nonlinear time series prediction community whereby the structure is excited by an applied chaotic waveform, and predictive maps built between structural response attractors are used as the feature space. The structural response is measured at several points on the structure, and pairs of attractors are used to predict each other. As the dynamics of the structure change due to damage, the prediction error rises. This approach is applied to detecting the preload loss in a bolted joint in an aluminum frame structure.

[1]  Schreiber,et al.  Nonlinear noise reduction: A case study on experimental data. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  H. Abarbanel,et al.  Determining embedding dimension for phase-space reconstruction using a geometrical construction. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[3]  Harvey Thomas Banks,et al.  Real time computational algorithms for eddy current based damage detection , 2002 .

[4]  Joseph Mathew,et al.  USING THE CORRELATION DIMENSION FOR VIBRATION FAULT DIAGNOSIS OF ROLLING ELEMENT BEARINGS—I. BASIC CONCEPTS , 1996 .

[5]  A. N. Sharkovskiĭ Dynamic systems and turbulence , 1989 .

[6]  Jonathan M. Nichols,et al.  SYSTEM IDENTIFICATION THROUGH CHAOTIC INTERROGATION , 2003 .

[7]  Weike Wang,et al.  Fault Identification in Rotating Machinery Using the Correlation Dimension and Bispectra , 2001 .

[8]  Nobuo Takeda,et al.  Characterization of microscopic damage in composite laminates and real-time monitoring by embedded optical fiber sensors , 2002 .

[9]  Keith Worden,et al.  Damage identification using support vector machines , 2001 .

[10]  T. Carroll,et al.  Discontinuous and nondifferentiable functions and dimension increase induced by filtering chaotic data. , 1996, Chaos.

[11]  Hoon Sohn,et al.  VIBRATION-BASED DAMAGE DETECTION USING STATISTICAL PROCESS CONTROL , 2001 .

[12]  Peter Plassmann,et al.  Thermographic non-destructive testing damage detection for metals and cementitious materials , 2000 .

[13]  L. Pecora,et al.  Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio , 2001 .

[14]  E. Parloo,et al.  AUTONOMOUS STRUCTURAL HEALTH MONITORING—PART I: MODAL PARAMETER ESTIMATION AND TRACKING , 2002 .

[15]  Thomas Schreiber,et al.  Detecting and Analyzing Nonstationarity in a Time Series Using Nonlinear Cross Predictions , 1997, chao-dyn/9909044.

[16]  Anthony Chukwujekwu Okafor,et al.  Location of impact in composite plates using waveform-based acoustic emission and Gaussian cross-correlation techniques , 1996, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[17]  H. Van Brussel,et al.  Non-linear dynamics tools for the motion analysis and condition monitoring of robot joints , 2001 .

[18]  Broggi,et al.  Dimension increase in filtered chaotic signals. , 1988, Physical review letters.

[19]  Henri P. Gavin,et al.  Damping Estimates from Experimental Non-Linear Time-Series , 2001 .

[20]  Darryll J. Pines,et al.  Damage detection in a building structure model under seismic excitation using dereverberated wave mechanics , 2003 .

[21]  Charles R. Farrar,et al.  Structural Health Monitoring Using Statistical Pattern Recognition Techniques , 2001 .

[22]  John S. Owen,et al.  The application of auto–regressive time series modelling for the time–frequency analysis of civil engineering structures , 2001 .

[23]  Theiler,et al.  Spurious dimension from correlation algorithms applied to limited time-series data. , 1986, Physical review. A, General physics.

[24]  Mohammad Noori,et al.  Wavelet-Based Approach for Structural Damage Detection , 2000 .

[25]  J M Nichols,et al.  Use of chaotic excitation and attractor property analysis in structural health monitoring. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  R. Burke,et al.  Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[27]  A. K. Pandey,et al.  Damage Detection in Structures Using Changes in Flexibility , 1994 .

[28]  Keith Worden,et al.  STRUCTURAL FAULT DETECTION USING A NOVELTY MEASURE , 1997 .

[29]  Jean-Claude Golinval,et al.  MODAL IDENTIFICATION AND DAMAGE DETECTION USING THE DATA-DRIVEN STOCHASTIC SUBSPACE AND ARMAV METHODS , 2003 .

[30]  Anindya Ghoshal,et al.  A continuous sensor for damage detection in bars , 2002 .

[31]  Jonathan M. Nichols,et al.  Structural health monitoring of offshore structures using ambient excitation , 2003 .

[32]  Jonathan M. Nichols,et al.  Practical Evaluation of Invariant Measures for the Chaotic Response of a Two-Frequency Excited Mechanical Oscillator , 2001 .

[33]  D. Roy Mahapatra,et al.  Identification of delamination in composite beams using spectral estimation and a genetic algorithm , 2002 .

[34]  Wing Kong Chiu,et al.  Detection of disbonding in a repair patch by means of an array of lead zirconate titanate and polyvinylidene fluoride sensors and actuators , 2001 .

[35]  Fraser,et al.  Independent coordinates for strange attractors from mutual information. , 1986, Physical review. A, General physics.

[36]  Albert S. Kobayashi,et al.  Handbook on experimental mechanics , 1987 .

[37]  Michael D. Todd,et al.  Using state space predictive modeling with chaotic interrogation in detecting joint preload loss in a frame structure experiment , 2003 .

[38]  J. Yorke,et al.  HOW MANY DELAY COORDINATES DO YOU NEED , 1993 .

[39]  Lawrence N. Virgin,et al.  Measuring the Stability of Periodic Attractors Using Perturbation-Induced Transients: Applications to Two Non-Linear Oscillators , 1994 .

[40]  H. Kantz,et al.  Nonlinear time series analysis , 1997 .

[41]  F. Ledrappier,et al.  Some relations between dimension and Lyapounov exponents , 1981 .

[42]  Louis Pecora,et al.  Assessment of damage in an eight-oscillator circuit using dynamical forcing. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  Keith Worden,et al.  EXPERIMENTAL VALIDATION OF A STRUCTURAL HEALTH MONITORING METHODOLOGY: PART I. NOVELTY DETECTION ON A LABORATORY STRUCTURE , 2003 .