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Guided waves in structures for SHM : the time-domain spectral element method / [edited by] Wieslaw Ostachowicz ... [et al.]

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Chichester, West Sussex ; Hoboken, NJ : Wiley, c2012Edition: Online-AusgDescription: Online-Ressource (1 online resource (xii, 337 p.)) : illISBN:
  • 9781283409797
  • 1283409798
  • 9781119965862
  • 9780470979839
Subject(s): Additional physical formats: 9780470979839 | 1283409526 | Erscheint auch als: Guided waves in structures for SHM. Druck-Ausgabe. Chichester, West Sussex : Wiley, 2012. XII, 337 SDDC classification:
  • 531/.1133 23
  • 531.1133
  • 624.171
  • SCI041000
RVK: RVK: ZM 3700LOC classification:
  • TA653
  • TA653 .G85 2012
Online resources:
Contents:
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 Equations1.4.4 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 Fields2.3 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 Methods3.1.2 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 Elements4.3 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
Summary: 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 forSummary: 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.PPN: PPN: 809507978Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE
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