Guided Waves in Structures for SHM

Name: Guided Waves in Structures for SHM | The Time - domain Spectral Element Method
Brand: Wiley
Price: 117.99 EUR
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The Time - domain Spectral Element Method

Wieslaw Ostachowicz Pawel Kudela Marek Krawczuk Arkadiusz Zak(Autor*in)

Wiley (Verlag)

Erschienen am 30. Dezember 2011

384 Seiten

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Beschreibung

Understanding and analysing the complex phenomena related toelastic wave propagation has been the subject of intense researchfor many years and has enabled application in numerous fields oftechnology, including structural health monitoring (SHM). In thecourse of the rapid advancement of diagnostic methods utilisingelastic wave propagation, it has become clear that existing methodsof elastic wave modeling and analysis are not always very useful;developing numerical methods aimed at modeling and analysing thesephenomena has become a necessity. Furthermore, any methodsdeveloped need to be verified experimentally, which has becomeachievable with the advancement of measurement methods utilisinglaser vibrometry.
Guided Waves in Structures for SHM reports on thesimulation, analysis and experimental investigation relatedpropagation of elastic waves in isotropic or laminated structures.The full spectrum of theoretical and practical issues associatedwith propagation of elastic waves is presented and discussed inthis one study.
Key features:
* Covers both numerical and experimental aspects of modeling,analysis and measurement of elastic wave propagation in structuralelements formed from isotropic or composite materials
* Comprehensively discusses the application of the SpectralFinite Element Method for modelling and analysing elastic wavepropagation in diverse structural elements
* Presents results of experimental measurements employingadvanced laser technologies, validating the quality and correctnessof the developed numerical models
* Accompanying website (www.wiley.com/go/ostachowicz)contains demonstration versions of commercial software developed bythe authors for modelling and analyzing elastic wave propagationusing the Spectral Finite Element Method
Guided Waves in Structures for SHM provides a stateof the art resource for researchers and graduate students instructural health monitoring, signal processing and structuraldynamics. This book should also provide a useful reference forpractising engineers within structural health monitoring andnon-destructive testing.

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Inhalt

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
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

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