LEADER 05655nam 2200721Ia 450 001 9910822391003321 005 20230802004351.0 010 $a1-119-96674-4 010 $a1-283-40979-8 010 $a9786613409799 010 $a1-119-96585-3 010 $a1-119-96586-1 035 $a(CKB)2550000000079102 035 $a(EBL)832973 035 $a(OCoLC)775301864 035 $a(SSID)ssj0000575920 035 $a(PQKBManifestationID)11965902 035 $a(PQKBTitleCode)TC0000575920 035 $a(PQKBWorkID)10553957 035 $a(PQKB)10299453 035 $a(MiAaPQ)EBC832973 035 $a(Au-PeEL)EBL832973 035 $a(CaPaEBR)ebr10524042 035 $a(CaONFJC)MIL340979 035 $a(EXLCZ)992550000000079102 100 $a20111019d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aGuided waves in structures for SHM$b[electronic resource] $ethe time-domain spectral element method /$f[edited by] Wieslaw Ostachowicz ... [et al.] 205 $a2nd ed. 210 $aChichester, West Sussex ;$aHoboken, NJ $cWiley$d2012 215 $a1 online resource (351 p.) 300 $aDescription based upon print version of record. 311 $a0-470-97983-6 320 $aIncludes bibliographical references and index. 327 $aGuided 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 327 $a1.4.3 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 327 $a2.2 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 327 $a3.1.1 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 327 $a4.2 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 327 $a5.2 Displacement Fields of Structural Membrane Elements 330 $aUnderstanding 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 b 606 $aElastic analysis (Engineering) 606 $aElastic wave propagation$xMathematical models 606 $aComposite materials$xAnalysis 606 $aFinite element method 615 0$aElastic analysis (Engineering) 615 0$aElastic wave propagation$xMathematical models. 615 0$aComposite materials$xAnalysis. 615 0$aFinite element method. 676 $a531/.1133 686 $aSCI041000$2bisacsh 701 $aOstachowicz$b W. M$g(Wies?aw M.)$01687581 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822391003321 996 $aGuided waves in structures for SHM$94061171 997 $aUNINA