Guided wave dispersion curves for a bar with an arbitrary cross-section, a rod and rail example
TL;DR: Theoretical and experimental issues of acquiring dispersion curves for bars of arbitrary cross-section for guided waves have great potential for being applied to the rapid non-destructive evaluation of large structures such as rails in the railroad industry.
About: This article is published in Ultrasonics.The article was published on 2003-05-01 and is currently open access. It has received 512 citations till now. The article focuses on the topics: Dispersion relation & Group velocity.
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Book•
11 Aug 2014
TL;DR: The semi-analytical finite element method (SAFE) has been used for guided wave modeling as discussed by the authors, which has been shown to be useful in the analysis and display of non-destructive testing.
Abstract: Preface Acknowledgments 1. Introduction 2. Dispersion principles 3. Unbounded isotropic and anisotropic media 4. Reflection and refraction 5. Oblique incidence 6. Waves in plates 7. Surface and subsurface waves 8. Finite element method for guided wave mechanics 9. The semi-analytical finite element method (SAFE) 10. Guided waves in hollow cylinders 11. Circumferential guided waves 12. Guided waves in layered structures 13. Source influence on guided wave excitation 14. Horizontal shear 15. Guided waves in anisotropic media 16. Guided wave phased arrays in piping 17. Guided waves in viscoelastic media 18. Ultrasonic vibrations 19. Guided wave array transducers 20. Introduction to guided wave nonlinear methods 21. Guided wave imaging methods Appendix A: ultrasonic nondestructive testing principles, analysis and display technology Appendix B: basic formulas and concepts in the theory of elasticity Appendix C: physically based signal processing concepts for guided waves Appendix D: guided wave mode and frequency selection tips.
823 citations
TL;DR: In this article, a semi-analytical finite element (SAFE) method for modeling wave propagation in waveguides of arbitrary cross-section is proposed, and the dispersive solutions are obtained in terms of phase velocity, group velocity, energy velocity, attenuation and cross-sectional mode shapes.
534 citations
Cites methods from "Guided wave dispersion curves for a..."
...More recently, SAFE methods confined to obtaining the propagative solutions were applied to wedges [5], rods and rails [6, 7]....
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...An approximation of the method in [6, 7] was also implemented in a standard finite element package by imposing a cyclic axial symmetry condition [8]....
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01 Jul 2008
TL;DR: In this article, the authors systematically inspected for internal and surface defects using various non-destructive evaluation (NDE) techniques during the manufacturing process of a rail and found that the defects were mostly caused by internal defects.
Abstract: Rails are systematically inspected for internal and surface defects using various non-destructive evaluation (NDE) techniques. During the manufacturing process, rails are inspected using au...
253 citations
TL;DR: In this paper, wave heading and frequency are used to scan the k-space and estimate the dispersion properties of undamped waveguides with various levels of damping, resulting from active control schemes or the use of shunted piezoelectric patches.
189 citations
TL;DR: In this article, the results of experiments they have conducted on rail at test tracks and on an operating railroad are provided. But the results are limited to the use of noncontact air-coupled and electromagnetic acoustic transducers as receivers of sound energy emanating from rail.
Abstract: The authors provide the results of experiments they have conducted on rail at test tracks and on an operating railroad. Results are presented that suggest that the frequency range [40,80] kHz readily supports guided waves. Theoretical results including roots of the dispersion relations for rail and a sample of wave displacement within a railhead are presented. Non-contact air-coupled and electromagnetic acoustic transducers (EMATs) are discussed as receivers of sound energy emanating from rail. The results of an experiment that used air-coupled transducers to profile the radiation pattern of a rail are presented. A rail cutting experiment with EMATs that simulated a transverse rail defect is discussed. Conclusions that the authors have drawn from their work are summarized at the end of the paper.
162 citations
References
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Book•
01 Jan 1973
TL;DR: In this article, the authors apply the material developed in the Volume One to various boundary value problems (reflection and refraction at plane surfaces, composite media, waveguides and resonators).
Abstract: This work, part of a two-volume set, applies the material developed in the Volume One to various boundary value problems (reflection and refraction at plane surfaces, composite media, waveguides and resonators). The text also covers topics such as perturbation and variational methods.
5,211 citations
Book•
01 Jan 1962
TL;DR: In this article, the linearized theory of elasticity was introduced and the elasticity of a one-dimensional motion of an elastic continuum was modeled as an unbound elastic continuum.
Abstract: Preface Introduction 1 One-dimensional motion of an elastic continuum 2 The linearized theory of elasticity 3 Elastodynamic theory 4 Elastic waves in an unbound medium 5 Plane harmonic waves in elastic half-spaces 6 Harmonic waves in waveguides 7 Forced motions of a half-space 8 Transient waves in layers and rods 9 Diffraction of waves by a slit 10 Thermal and viscoelastic effects, and effects of anisotrophy and non-linearity Author Index Subject Index
4,133 citations
Book•
01 Jan 1975
TL;DR: In this article, a comprehensive study of elastic wave propagation in solids is presented, ranging from the theory of waves and vibrations in strings to the three-dimensional theory of elastic waves in thick plates.
Abstract: The book presents a comprehensive study of elastic wave propagation in solids. Topics covered range from the theory of waves and vibrations in strings to the three-dimensional theory of waves in thick plates. The subject is covered in the following chapters: (1) waves and vibrations in strings, (2) longitudinal waves in thin rods, (3) flexural waves in thin rods, (4) waves in membranes, thin plates and shells, (5) waves in infinite media, (6) waves in semi-infinite media, (7) scattering and diffraction of elastic waves, and (8) wave propagation in plates and rods. Appendices contain introductory information on elasticity, transforms and experimental techniques. /TRRL/
3,359 citations
Book•
01 Sep 2004
TL;DR: In this article, the theory of elasticity was introduced and basic formulas and concepts in complex variables in the theory and application of wave propagation were discussed. But the authors did not consider the effects of wave scattering on the wave propagation experiments.
Abstract: Preface 1. Introduction 2. Dispersion principles 3. Unbounded isotropic and anisotropic media 4. Reflection and refraction 5. Oblique incidence 6. Wave scattering 7. Surface and subsurface waves 8. Waves in plates 9. Interface waves 10. Layer on a half space 11. Waves in rods 12. Waves in hollow cylinders 13. Guided waves in multiple layers 14. Source influence 15. Horizontal shear 16. Waves in an anisotropic layer 17. Elastic constant determination 18. Waves in viscoelastic media 19. Stress influence 20. Boundary element methods Bibliography Appendices A. Ultrasonic nondestructive testing principles, analysis and display technology B. Basic formulas and concepts in the theory of elasticity C. Basic formulas in complex variables D. Schlieren imaging and dynamic photoelasticity E. Key wave propagation experiments Index.
2,570 citations