05658nam 2200721Ia 450 991013973090332120230802004351.01-119-96674-41-283-40979-897866134097991-119-96585-31-119-96586-1(CKB)2550000000079102(EBL)832973(OCoLC)775301864(SSID)ssj0000575920(PQKBManifestationID)11965902(PQKBTitleCode)TC0000575920(PQKBWorkID)10553957(PQKB)10299453(MiAaPQ)EBC832973(Au-PeEL)EBL832973(CaPaEBR)ebr10524042(CaONFJC)MIL340979(EXLCZ)99255000000007910220111019d2012 uy 0engur|n|---|||||txtccrGuided waves in structures for SHM[electronic resource] the time-domain spectral element method /[edited by] Wieslaw Ostachowicz ... [et al.]2nd ed.Chichester, West Sussex ;Hoboken, NJ Wiley20121 online resource (351 p.)Description based upon print version of record.0-470-97983-6 Includes bibliographical references and index.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 Equations1.4.3 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 Polynomials2.2 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 Methods3.1.1 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 Rods4.2 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 Shells5.2 Displacement Fields of Structural Membrane ElementsUnderstanding 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 bElastic analysis (Engineering)Elastic wave propagationMathematical modelsComposite materialsAnalysisFinite element methodElastic analysis (Engineering)Elastic wave propagationMathematical models.Composite materialsAnalysis.Finite element method.531/.1133SCI041000bisacshOstachowicz W. M(Wiesław M.)875761MiAaPQMiAaPQMiAaPQBOOK9910139730903321Guided waves in structures for SHM1955787UNINA