Guided Waves in Structures for SHM The Time - domain Spectral Element Method

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Edition: 1st
Format: Hardcover
Pub. Date: 2012-02-13
Publisher(s): Wiley
List Price: $175.70

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Summary

Presents the state of the art in the modelling, analysis and experimental investigation of elastic wave propagation using a technique of rapidly increasing interest and development Addressing an important issue in the field of guided-wave-based damage identification and structural health monitoring, Guided Waves in Structures for SHM presents the modelling, analysis and experimental investigation of elastic wave propagation in engineering structures made of isotropic or composite materials. The authors begin by summarising present-day knowledge on elastic wave propagation in solids, focusing on challenges associated with developing efficient numerical methods and verifying them experimentally. They then progress to describe modelling and analysis using the Spectral Finite Element Method-based approach, presenting the results of numerical tests of elastic wave propagation in structural elements of diverse types ranging from rods through beams, disks, plates and coatings to 3D structures. The section devoted to experimental research describes applications of laser technology for measuring elastic wave propagation in real-life structural elements. Addresses both numerical analysis and experimental research in a single volume. Presents state-of-the-art numerical models based on the Spectral Finite Element Method and experimental research employing laser technologies Coverage includes an introduction to theory of elastic wave propagation in solids, signal processing techniques the spectral element approach, elastic waves in 1D and 2D structures, EWavePro simulation environment, dispersion relations and damage localisation methods Accompanied by a website housing the demo version of the authors' own software dedicated to solve the problems indicated in the book. Original and valuable in its presentation of both numerical analysis and experimental research in a single volume and accompanied by a website housing the demo version of the authors' own software dedicated to solve the problems indicated in the book, Guided Waves in Structures for SHM provides a state of the art resource for researchers, students and practitioners within SHM and NDT.

Author Biography

Wieslaw Ostachowicz, Pawel Kudela, Marek Krawczuk, Zak Arkadiusz, Polish Academy of Sciences, PolandWieslaw Ostachowicz is Professor and Head of the Department of Mechanics of Intelligent Structures in the Institute of Fluid Flow Machinery at the Polish Academy of Sciences. His research areas include structural health monitoring, vibration control and damage control, structural dynamics, smart materials and structures, composite structures and fracture mechanics. He is on the editorial boards of Composites Part B: Engineering, Strain, Mechanical Engineering Science, Smart Materials and Structures and Structural Health Monitoring. All three co-authors are are members of Professor Ostachowicz's research team within Institute of Fluid Flow Machinery at the Polish Academy of Sciences.

Pawel Kudela is a Ph.D. senior researcher at the Institute of Fluid Flow Machinery at the Polish Academy of Sciences.

Marek Krawczuk is Professor at the Institute of Fluid Flow Machinery at the Polish Academy of Sciences.

Arkadiusz Zak is an associate professor at the Institute of Fluid Machinery at the Polish Academy of Sciences.

Table of Contents

Prefacep. ix
Introduction to the Theory of Elastic Wavesp. 1
Elastic Wavesp. 1
Longitudinal Waves (Compressional/Pressure/Primary/P Waves)p. 2
Shear Waves (Transverse/Secondary/S Waves)p. 2
Rayleigh Wavesp. 3
Love Wavesp. 4
Lamb Wavesp. 4
Basic Definitionsp. 5
Bulk Waves in Three-Dimensional Mediap. 10
Isotropic Mediap. 10
Christoffel Equations for Anisotropic Mediap. 12
Potential Methodp. 14
Plane Wavesp. 15
Surface Wavesp. 16
Derivation of Lamb Wave Equationsp. 17
Numerical Solution of Rayleigh-Lamb Frequency Equationsp. 26
Distribution of Displacements and Stresses for Various Frequencies of Lamb Wavesp. 29
Shear Horizontal Wavesp. 32
Wave Propagation in One-Dimensional Bodies of Circular Cross-Sectionp. 35
Equations of Motionp. 35
Longitudinal Wavesp. 36
Solution of Pochhammer Frequency Equationp. 39
Torsional Wavesp. 42
Flexural Wavesp. 43
Referencesp. 45
Spectral Finite Element Methodp. 47
Shape Functions in the Spectral Finite Element Methodp. 53
Lobatto Polynomialsp. 54
Chebyshev Polynomialsp. 56
Laguerre Polynomialsp. 60
Approximating Displacement, Strain and Stress Fieldsp. 62
Equations of Motion of a Body Discretised Using Spectral Finite Elementsp. 67
Computing Characteristic Matrices of Spectral Finite Elementsp. 72
Lobatto Quadraturep. 75
Gauss Quadraturep. 76
Gauss-Laguerre Quadraturep. 78
Solving Equations of Motion of a Body Discretised Using Spectral Finite Elementsp. 81
Forcing with an Harmonic Signalp. 82
Forcing with a Periodic Signalp. 83
Forcing with a Nonperiodic Signalp. 84
Referencesp. 92
Three-Dimensional Laser Vibrometryp. 93
Review of Elastic Wave Generation Methodsp. 94
Force Impulse Methodsp. 94
Ultrasonic Methodsp. 94
Methods Based on the Electromagnetic Effectp. 97
Methods Based on the Piezoelectric Effectp. 98
Methods Based on the Magnetostrictive Effectp. 102
Photothermal Methodsp. 103
Review of Elastic Wave Registration Methodsp. 104
Optical Methodsp. 106
Laser Vibrometryp. 109
Analysis of Methods of Elastic Wave Generation and Registrationp. 114
Exemplary Results of Research on Elastic Wave Propagation Using 3D Laser Scanning Vibrometryp. 116
Referencesp. 121
One-Dimensional Structural Elementsp. 125
Theories of Rodsp. 125
Displacement Fields of Structural Rod Elementsp. 127
Theories of Beamsp. 133
Displacement Fields of Structural Beam Elementsp. 135
Dispersion Curvesp. 141
Certain Numerical Considerationsp. 143
Natural Frequenciesp. 144
Wave Propagationp. 147
Examples of Numerical Calculationsp. 155
Propagation of Longitudinal Elastic Waves in a Cracked Rodp. 156
Propagation of Flexural Elastic Waves in a Rodp. 158
Propagation of Coupled Longitudinal and Flexural Elastic Waves in a Rodp. 162
Referencesp. 164
Two-Dimensional Structural Elementsp. 167
Theories of Membranes, Plates and Shellsp. 167
Displacement Fields of Structural Membrane Elementsp. 169
Displacement Fields of Structural Plate Elementsp. 175
Displacement Fields of Structural Shell Elementsp. 181
Certain Numerical Considerationsp. 184
Examples of Numerical Calculationsp. 189
Propagation of Elastic Waves in an Angle Barp. 189
Propagation of Elastic Waves in a Half-Pipe Aluminium Shellp. 192
Propagation of Elastic Waves in an Aluminium Platep. 195
Referencesp. 198
Three-Dimensional Structural Elementsp. 201
Solid Spectral Elementsp. 202
Displacement Fields of Solid Structural Elementsp. 202
Six-Mode Theoryp. 202
Nine-Mode Theoryp. 203
Certain Numerical Considerationsp. 204
Modelling Electromechanical Couplingp. 208
Assumptionsp. 213
Linear Constitutive Equationsp. 213
Basic Equations of Motionp. 214
Static Condensationp. 215
Inducing Wavesp. 216
Recording Wavesp. 216
Electrical Boundary Conditionsp. 216
Examples of Numerical Calculationsp. 220
Propagation of Elastic Waves in a Half-Pipe Aluminium Shellp. 220
Propagation of Elastic Waves in an Isotropic Plate -Experimental Verificationp. 222
Modelling the Bonding Layerp. 227
Referencesp. 230
Detection, Localisation and Identification of Damage by Elastic Wave Propagationp. 233
Elastic Waves in Structural Health Monitoringp. 235
Methods of Damage Detection, Localisation and Identificationp. 247
Energy Addition Methodp. 253
Phased Array Methodp. 255
Methods Employing Continuous Registration of Elastic Waves within the Analysed Areap. 263
Damage Identification Algorithmsp. 266
Examples of Damage Localisation Methodsp. 269
Localisation Algorithms Employing Sensor Networksp. 269
Algorithms Based on Full Field Measurements of Elastic Wave Propagationp. 275
Referencesp. 288
Appendix: EWavePro Softwarep. 295
Introductionp. 295
Theoretical Background and Scope of Applicability (Computation Module)p. 296
Functional Structure and Software Environment (Pre- and Post-Processors)p. 298
Elastic Wave Propagation in a Wing Skin of an Unmanned Plane (UAV)p. 312
Elastic Wave Propagation in a Composite Panelp. 320
Referencesp. 333
Indexp. 335
Table of Contents provided by Ingram. All Rights Reserved.

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