Guided Waves in Structures for SHM The Time -

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.

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.

Preface	p. ix
Introduction to the Theory of Elastic Waves	p. 1
Elastic Waves	p. 1
Longitudinal Waves (Compressional/Pressure/Primary/P Waves)	p. 2
Shear Waves (Transverse/Secondary/S Waves)	p. 2
Rayleigh Waves	p. 3
Love Waves	p. 4
Lamb Waves	p. 4
Basic Definitions	p. 5
Bulk Waves in Three-Dimensional Media	p. 10
Isotropic Media	p. 10
Christoffel Equations for Anisotropic Media	p. 12
Potential Method	p. 14
Plane Waves	p. 15
Surface Waves	p. 16
Derivation of Lamb Wave Equations	p. 17
Numerical Solution of Rayleigh-Lamb Frequency Equations	p. 26
Distribution of Displacements and Stresses for Various Frequencies of Lamb Waves	p. 29
Shear Horizontal Waves	p. 32
Wave Propagation in One-Dimensional Bodies of Circular Cross-Section	p. 35
Equations of Motion	p. 35
Longitudinal Waves	p. 36
Solution of Pochhammer Frequency Equation	p. 39
Torsional Waves	p. 42
Flexural Waves	p. 43
References	p. 45
Spectral Finite Element Method	p. 47
Shape Functions in the Spectral Finite Element Method	p. 53
Lobatto Polynomials	p. 54
Chebyshev Polynomials	p. 56
Laguerre Polynomials	p. 60
Approximating Displacement, Strain and Stress Fields	p. 62
Equations of Motion of a Body Discretised Using Spectral Finite Elements	p. 67
Computing Characteristic Matrices of Spectral Finite Elements	p. 72
Lobatto Quadrature	p. 75
Gauss Quadrature	p. 76
Gauss-Laguerre Quadrature	p. 78
Solving Equations of Motion of a Body Discretised Using Spectral Finite Elements	p. 81
Forcing with an Harmonic Signal	p. 82
Forcing with a Periodic Signal	p. 83
Forcing with a Nonperiodic Signal	p. 84
References	p. 92
Three-Dimensional Laser Vibrometry	p. 93
Review of Elastic Wave Generation Methods	p. 94
Force Impulse Methods	p. 94
Ultrasonic Methods	p. 94
Methods Based on the Electromagnetic Effect	p. 97
Methods Based on the Piezoelectric Effect	p. 98
Methods Based on the Magnetostrictive Effect	p. 102
Photothermal Methods	p. 103
Review of Elastic Wave Registration Methods	p. 104
Optical Methods	p. 106
Laser Vibrometry	p. 109
Analysis of Methods of Elastic Wave Generation and Registration	p. 114
Exemplary Results of Research on Elastic Wave Propagation Using 3D Laser Scanning Vibrometry	p. 116
References	p. 121
One-Dimensional Structural Elements	p. 125
Theories of Rods	p. 125
Displacement Fields of Structural Rod Elements	p. 127
Theories of Beams	p. 133
Displacement Fields of Structural Beam Elements	p. 135
Dispersion Curves	p. 141
Certain Numerical Considerations	p. 143
Natural Frequencies	p. 144
Wave Propagation	p. 147
Examples of Numerical Calculations	p. 155
Propagation of Longitudinal Elastic Waves in a Cracked Rod	p. 156
Propagation of Flexural Elastic Waves in a Rod	p. 158
Propagation of Coupled Longitudinal and Flexural Elastic Waves in a Rod	p. 162
References	p. 164
Two-Dimensional Structural Elements	p. 167
Theories of Membranes, Plates and Shells	p. 167
Displacement Fields of Structural Membrane Elements	p. 169
Displacement Fields of Structural Plate Elements	p. 175
Displacement Fields of Structural Shell Elements	p. 181
Certain Numerical Considerations	p. 184
Examples of Numerical Calculations	p. 189
Propagation of Elastic Waves in an Angle Bar	p. 189
Propagation of Elastic Waves in a Half-Pipe Aluminium Shell	p. 192
Propagation of Elastic Waves in an Aluminium Plate	p. 195
References	p. 198
Three-Dimensional Structural Elements	p. 201
Solid Spectral Elements	p. 202
Displacement Fields of Solid Structural Elements	p. 202
Six-Mode Theory	p. 202
Nine-Mode Theory	p. 203
Certain Numerical Considerations	p. 204
Modelling Electromechanical Coupling	p. 208
Assumptions	p. 213
Linear Constitutive Equations	p. 213
Basic Equations of Motion	p. 214
Static Condensation	p. 215
Inducing Waves	p. 216
Recording Waves	p. 216
Electrical Boundary Conditions	p. 216
Examples of Numerical Calculations	p. 220
Propagation of Elastic Waves in a Half-Pipe Aluminium Shell	p. 220
Propagation of Elastic Waves in an Isotropic Plate -Experimental Verification	p. 222
Modelling the Bonding Layer	p. 227
References	p. 230
Detection, Localisation and Identification of Damage by Elastic Wave Propagation	p. 233
Elastic Waves in Structural Health Monitoring	p. 235
Methods of Damage Detection, Localisation and Identification	p. 247
Energy Addition Method	p. 253
Phased Array Method	p. 255
Methods Employing Continuous Registration of Elastic Waves within the Analysed Area	p. 263
Damage Identification Algorithms	p. 266
Examples of Damage Localisation Methods	p. 269
Localisation Algorithms Employing Sensor Networks	p. 269
Algorithms Based on Full Field Measurements of Elastic Wave Propagation	p. 275
References	p. 288
Appendix: EWavePro Software	p. 295
Introduction	p. 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 Panel	p. 320
References	p. 333
Index	p. 335
Table of Contents provided by Ingram. All Rights Reserved.

What is included with this book?
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

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

Summary

Author Biography

Table of Contents

Supplemental Materials