Guided waves in structures for SHM the time - domain spectral element method

Understanding and analysing the complex phenomena related to elastic wave propagation has been the subject of intense research for many years and has enabled application in numerous fields of technology, including structural health monitoring (SHM). In the course of the rapid advancement of diagnost...

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Main Authors Ostachowicz, Wieslaw, Kudela, Pawel, Krawczuk, Marek, Zak, Arkadiusz
Format eBook Book
LanguageEnglish
Published Chichester, West Sussex WILEY 2012
John Wiley & Sons
John Wiley & Sons, Incorporated
Wiley-Blackwell
John Wiley & Sons Ltd
Edition2
Subjects
Analysis
Composite materials
Composite materials > Analysis
Elastic analysis (Engineering)
Elastic wave propagation
Elastic wave propagation > Mathematical models
Finite element method
Mathematical models
Mechanics
Science
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Abstract Understanding and analysing the complex phenomena related to elastic wave propagation has been the subject of intense research for many years and has enabled application in numerous fields of technology, including structural health monitoring (SHM). In the course of the rapid advancement of diagnostic methods utilising elastic wave propagation, it has become clear that existing methods of elastic wave modeling and analysis are not always very useful; developing numerical methods aimed at modeling and analysing these phenomena has become a necessity. Furthermore, any methods developed need to be verified experimentally, which has become achievable with the advancement of measurement methods utilising laser vibrometry. Guided Waves in Structures for SHM reports on the simulation, analysis and experimental investigation related propagation of elastic waves in isotropic or laminated structures. The full spectrum of theoretical and practical issues associated with propagation of elastic waves is presented and discussed in this one study. Key features: Covers both numerical and experimental aspects of modeling, analysis and measurement of elastic wave propagation in structural elements formed from isotropic or composite materials Comprehensively discusses the application of the Spectral Finite Element Method for modelling and analysing elastic wave propagation in diverse structural elements Presents results of experimental measurements employing advanced laser technologies, validating the quality and correctness of the developed numerical models Accompanying website ( www.wiley.com/go/ostachowicz ) contains demonstration versions of commercial software developed by the authors for modelling and analyzing elastic wave propagation using the Spectral Finite Element Method Guided Waves in Structures for SHM provides a state of the art resource for researchers and graduate students in structural health monitoring, signal processing and structural dynamics. This book should also provide a useful reference for practising engineers within structural health monitoring and non-destructive testing.
AbstractList Understanding and analysing the complex phenomena related to elastic wave propagation has been the subject of intense research for many years and has enabled application in numerous fields of technology, including structural health monitoring (SHM). In the course of the rapid advancement of diagnostic methods utilising elastic wave propagation, it has become clear that existing methods of elastic wave modeling and analysis are not always very useful; developing numerical methods aimed at modeling and analysing these phenomena has become a necessity. Furthermore, any methods developed need to be verified experimentally, which has become achievable with the advancement of measurement methods utilising laser vibrometry. Guided Waves in Structures for SHM reports on the simulation, analysis and experimental investigation related propagation of elastic waves in isotropic or laminated structures. The full spectrum of theoretical and practical issues associated with propagation of elastic waves is presented and discussed in this one study. Key features: Covers both numerical and experimental aspects of modeling, analysis and measurement of elastic wave propagation in structural elements formed from isotropic or composite materials Comprehensively discusses the application of the Spectral Finite Element Method for modelling and analysing elastic wave propagation in diverse structural elements Presents results of experimental measurements employing advanced laser technologies, validating the quality and correctness of the developed numerical models Accompanying website ( www.wiley.com/go/ostachowicz ) contains demonstration versions of commercial software developed by the authors for modelling and analyzing elastic wave propagation using the Spectral Finite Element Method Guided Waves in Structures for SHM provides a state of the art resource for researchers and graduate students in structural health monitoring, signal processing and structural dynamics. This book should also provide a useful reference for practising engineers within structural health monitoring and non-destructive testing.
Author Ostachowicz, Wieslaw
Krawczuk, Marek
Zak, Arkadiusz
Kudela, Pawel
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Notes Other authors : Pawel Kudela, Marek Krawczuk, Arkadiusz Zak
Includes bibliographical references and index
Available also in a print ed.
Mode of access: Internet via World Wide Web.
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John Wiley & Sons, Incorporated
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John Wiley & Sons Ltd
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Snippet Understanding and analysing the complex phenomena related to elastic wave propagation has been the subject of intense research for many years and has enabled...
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SubjectTerms Analysis
Composite materials
Composite materials -- Analysis
Elastic analysis (Engineering)
Elastic wave propagation
Elastic wave propagation -- Mathematical models
Finite element method
Mathematical models
Mechanics
Science
SubjectTermsDisplay Composite materials -- Analysis.
Elastic analysis (Engineering)
Elastic wave propagation -- Mathematical models.
Electronic books.
Finite element method.
Mechanics
Science
Subtitle the time - domain spectral element method
TableOfContents Guided waves in structures for SHM: the time - domain spectral element method -- Contents -- Preface -- 1. Introduction to the Theory of Elastic Waves -- 2. Spectral Finite Element Method -- 3. Three-Dimensional Laser Vibrometry -- 4. One-Dimensional Structural Elements -- 5. Two-Dimensional Structural Elements -- 6. Three-Dimensional Structural Elements -- 7. Detection, Localisation and Identification of Damage by Elastic Wave Propagation -- Appendix: EWavePro Software -- Index.
3.1.3 Methods Based on the Electromagnetic Effect -- 3.1.4 Methods Based on the Piezoelectric Effect -- 3.1.5 Methods Based on the Magnetostrictive Effect -- 3.1.6 Photothermal Methods -- 3.2 Review of Elastic Wave Registration Methods -- 3.2.1 Optical Methods -- 3.3 Laser Vibrometry -- 3.4 Analysis of Methods of Elastic Wave Generation and Registration -- 3.5 Exemplary Results of Research on Elastic Wave Propagation Using 3D Laser Scanning Vibrometry -- References -- 4 One-Dimensional Structural Elements -- 4.1 Theories of Rods -- 4.2 Displacement Fields of Structural Rod Elements -- 4.3 Theories of Beams -- 4.4 Displacement Fields of Structural Beam Elements -- 4.5 Dispersion Curves -- 4.6 Certain Numerical Considerations -- 4.6.1 Natural Frequencies -- 4.6.2 Wave Propagation -- 4.7 Examples of Numerical Calculations -- 4.7.1 Propagation of Longitudinal Elastic Waves in a Cracked Rod -- 4.7.2 Propagation of Flexural Elastic Waves in a Rod -- 4.7.3 Propagation of Coupled Longitudinal and Flexural Elastic Waves in a Rod -- References -- 5 Two-Dimensional Structural Elements -- 5.1 Theories of Membranes, Plates and Shells -- 5.2 Displacement Fields of Structural Membrane Elements -- 5.3 Displacement Fields of Structural Plate Elements -- 5.4 Displacement Fields of Structural Shell Elements -- 5.5 Certain Numerical Considerations -- 5.6 Examples of Numerical Calculations -- 5.6.1 Propagation of Elastic Waves in an Angle Bar -- 5.6.2 Propagation of Elastic Waves in a Half-Pipe Aluminium Shell -- 5.6.3 Propagation of Elastic Waves in an Aluminium Plate -- References -- 6 Three-Dimensional Structural Elements -- 6.1 Solid Spectral Elements -- 6.2 Displacement Fields of Solid Structural Elements -- 6.2.1 Six-Mode Theory -- 6.2.2 Nine-Mode Theory -- 6.3 Certain Numerical Considerations -- 6.4 Modelling Electromechanical Coupling -- 6.4.1 Assumptions
6.4.2 Linear Constitutive Equations -- 6.4.3 Basic Equations of Motion -- 6.4.4 Static Condensation -- 6.4.5 Inducing Waves -- 6.4.6 Recording Waves -- 6.4.7 Electrical Boundary Conditions -- 6.5 Examples of Numerical Calculations -- 6.5.1 Propagation of Elastic Waves in a Half-Pipe Aluminium Shell -- 6.5.2 Propagation of Elastic Waves in an Isotropic Plate - Experimental Verification -- 6.6 Modelling the Bonding Layer -- References -- 7 Detection, Localisation and Identification of Damage by ElasticWave Propagation -- 7.1 Elastic Waves in Structural Health Monitoring -- 7.2 Methods of Damage Detection, Localisation and Identification -- 7.2.1 Energy Addition Method -- 7.2.2 Phased Array Method -- 7.2.3 Methods Employing Continuous Registration of Elastic Waves within the Analysed Area -- 7.2.4 Damage Identification Algorithms -- 7.3 Examples of Damage Localisation Methods -- 7.3.1 Localisation Algorithms Employing Sensor Networks -- 7.3.2 Algorithms Based on Full Field Measurements of Elastic Wave Propagation -- References -- Appendix: EWavePro Software -- A.1 Introduction -- A.2 Theoretical Background and Scope of Applicability (Computation Module) -- A.3 Functional Structure and Software Environment (Pre- and Post-Processors) -- A.4 Elastic Wave Propagation in a Wing Skin of an Unmanned Plane (UAV) -- A.5 Elastic Wave Propagation in a Composite Panel -- References -- Index
Intro -- Guided Waves in Structures for SHM -- Contents -- Preface -- 1 Introduction to the Theory of Elastic Waves -- 1.1 Elastic Waves -- 1.1.1 Longitudinal Waves (Compressional/Pressure/Primary/P Waves) -- 1.1.2 Shear Waves (Transverse/Secondary/S Waves) -- 1.1.3 Rayleigh Waves -- 1.1.4 Love Waves -- 1.1.5 Lamb Waves -- 1.2 Basic Definitions -- 1.3 Bulk Waves in Three-Dimensional Media -- 1.3.1 Isotropic Media -- 1.3.2 Christoffel Equations for Anisotropic Media -- 1.3.3 Potential Method -- 1.4 Plane Waves -- 1.4.1 Surface Waves -- 1.4.2 Derivation of Lamb Wave Equations -- 1.4.3 Numerical Solution of Rayleigh-Lamb Frequency Equations -- 1.4.4 Distribution of Displacements and Stresses for Various Frequencies of Lamb Waves -- 1.4.5 Shear Horizontal Waves -- 1.5 Wave Propagation in One-Dimensional Bodies of Circular Cross-Section -- 1.5.1 Equations of Motion -- 1.5.2 Longitudinal Waves -- 1.5.3 Solution of Pochhammer Frequency Equation -- 1.5.4 Torsional Waves -- 1.5.5 Flexural Waves -- References -- 2 Spectral Finite Element Method -- 2.1 Shape Functions in the Spectral Finite Element Method -- 2.1.1 Lobatto Polynomials -- 2.1.2 Chebyshev Polynomials -- 2.1.3 Laguerre Polynomials -- 2.2 Approximating Displacement, Strain and Stress Fields -- 2.3 Equations of Motion of a Body Discretised Using Spectral Finite Elements -- 2.4 Computing Characteristic Matrices of Spectral Finite Elements -- 2.4.1 Lobatto Quadrature -- 2.4.2 Gauss Quadrature -- 2.4.3 Gauss-Laguerre Quadrature -- 2.5 Solving Equations of Motion of a Body Discretised Using Spectral Finite Elements -- 2.5.1 Forcing with an Harmonic Signal -- 2.5.2 Forcing with a Periodic Signal -- 2.5.3 Forcing with a Nonperiodic Signal -- References -- 3 Three-Dimensional Laser Vibrometry -- 3.1 Review of Elastic Wave Generation Methods -- 3.1.1 Force Impulse Methods -- 3.1.2 Ultrasonic Methods
Title Guided waves in structures for SHM
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