Circuit Analysis of Impedance-based Health Monitoring of Beams Using Spectral Elements

A model is generally not needed for the basic damage identification problem when using the electromechanical impedance-based method of structural health monitoring (SHM). However, modeling becomes necessary when more information is needed for more complex functions of the SHM system, such as estimation of remaining life. In addition, suitable models would aid in more accurately identifying and locating damage and in designing the SHM system. Since impedance-based SHM relies on high frequency excitation of the structure using piezoelectric patches, finite element modeling may not be computationally efficient. In this study, the spectral element method (SEM) is used in combination with electric circuit analysis for impedance modeling. SEM more accurately models higher frequency vibrations than finite element methods since the mass is modeled exactly and it incorporates higher order models more easily. Simulations of sensor multiplexing, high frequency response, and the inclusion of damage are presented. Experimental verification is also included.

[1]  P. W. Wang,et al.  Applications of the Impedance Method on Multiple Piezoelectric Actuators Driven Structures , 2001 .

[2]  Darryll J. Pines,et al.  Damage Identification of Chordwise Crack Size and Location in Uncoupled Composite Rotorcraft Flexbeams , 1998 .

[3]  Craig A. Rogers,et al.  Dynamic model of piezoelectric actuator-driven thin plates , 1994, Smart Structures.

[4]  Usik Lee,et al.  The spectral element method in structural dynamics , 2000 .

[5]  J. L. Fanson,et al.  Positive position feedback control for large space structures , 1990 .

[6]  David Cebon,et al.  Materials Selection in Mechanical Design , 1992 .

[7]  Suresh Bhalla,et al.  A mechanical impedance approach for structural identification, health monitoring and non-destructive evaluation using piezo-impedance transducers. , 2004 .

[8]  Hoon Sohn,et al.  Overview of Piezoelectric Impedance-Based Health Monitoring and Path Forward , 2003 .

[9]  Ephrahim Garcia,et al.  A Self-Sensing Piezoelectric Actuator for Collocated Control , 1992 .

[10]  Craig A. Rogers,et al.  An Impedance Method for Dynamic Analysis of Active Material Systems , 1997 .

[11]  Marek Krawczuk,et al.  The dynamic analysis of a cracked Timoshenko beam by the spectral element method , 2003 .

[12]  Andrew George Littlefield.  Application of the Impedance Method of Modeling Active Materials to Plate Structures , 2000 .

[13]  Victor Giurgiutiu,et al.  Piezoelectric Wafer Embedded Active Sensors for Aging Aircraft Structural Health Monitoring , 2002 .

[14]  C. Liang,et al.  Structural frequency response function acquisition via electric impedance measurement of surface-bonded piezoelectric sensor /actuator , 1995 .

[15]  G. Cowper.  The Shear Coefficient in Timoshenko’s Beam Theory , 1966 .

[16]  Jan Drewes Achenbach,et al.  Crack detection by resonant frequency measurements , 1995 .

[17]  Usik Lee,et al.  Spectral element modeling for the beams treated with active constrained layer damping , 2001 .

[18]  E. Crawley,et al.  Detailed models of piezoceramic actuation of beams , 1989 .

[19]  Daniel J. Inman,et al.  Improving Accessibility of the Impedance-Based Structural Health Monitoring Method , 2004 .

[20]  Yozo Fujino,et al.  Quantitative health monitoring of bolted joints using a piezoceramic actuator-sensor , 2004 .

[21]  R. M. Alford,et al.  ACCURACY OF FINITE‐DIFFERENCE MODELING OF THE ACOUSTIC WAVE EQUATION , 1974 .

[22]  Craig A. Rogers,et al.  Coupled Electro-Mechanical Analysis of Adaptive Material Systems — Determination of the Actuator Power Consumption and System Energy Transfer , 1994 .

[23]  Victor Giurgiutiu,et al.  Characterization of Piezoelectric Wafer Active Sensors , 2000 .

[24]  Daniel J. Inman,et al.  A wireless active sensing system for impedance-based Structural Health Monitoring , 2005 .

[25]  Victor Giurgiutiu,et al.  Electro-Mechanical Impedance Method for Crack Detection in Thin Plates , 2001 .

[26]  Gui-Rong Liu,et al.  A Modified Electro-Mechanical Impedance Model of Piezoelectric Actuator-Sensors for Debonding Detection of Composite Patches , 2002 .

[27]  Daniel J. Inman,et al.  IMPEDANCE-BASED HEALTH MONITORING OF CIVIL STRUCTURAL COMPONENTS , 2000 .

[28]  C. Liang,et al.  An impedance method for dynamic analysis of active material systems , 1994 .

[29]  Chen Liang,et al.  Application of active structural health monitoring technique to aircraft fuselage structures , 1996, Smart Structures.

[30]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[31]  Daniel J. Inman,et al.  An Integrated Health Monitoring Technique Using Structural Impedance Sensors , 2000 .