Author
R.B. Nelson
Bio: R.B. Nelson is an academic researcher from University of California, Los Angeles. The author has contributed to research in topics: Orthotropic material & Isotropy. The author has an hindex of 5, co-authored 7 publications receiving 489 citations.
Papers
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191 citations
TL;DR: In this paper, a method for studying the free vibrations of a circular cylinder composed of an arbitrary number of bonded elastic, cylindrically orthotropic layers is presented, where all displacements are taken in the form of trigonometric functions in both the circumferential angle and axial variables.
144 citations
122 citations
27 citations
TL;DR: In this article, the extended Ritz technique is used to study high frequency vibrations and waves in infinite homogeneous and laminated orthotropic plates, and modal displacements and group velocities are obtained in the range 10-30 times above the lowest nonzero cut-off frequency and for a wide range of wave numbers.
24 citations
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TL;DR: In this paper, a new standard plate theory, which accounts for cosine shear stress distribution and free boundary conditions for shear stresses upon the top and bottom surfaces of the plate, is presented.
932 citations
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 higher-order shear deformation theory is used to demonstrate the natural frequencies and buckling loads of elastic plates, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate and rotary inertia.
629 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
TL;DR: In this article, a hyperbolic shear deformation theory applicable to bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates is presented.
451 citations