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Author : Albert Emerson Hurd
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (219 download)
Download or read book Wave Propagation in Thin Elastic Plates written by Albert Emerson Hurd and published by . This book was released on 1957 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gavin R. Thomson
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)
Download or read book Propagation of High Flexural Waves in Thin Elastic Plates written by Gavin R. Thomson and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael James Alexander Smith
Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.:/5 (876 download)
Download or read book Wave Propagation Through Periodic Structures in Thin Plates written by Michael James Alexander Smith and published by . This book was released on 2013 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis considers the propagation of flexural waves through structures embedded in thin, elastic plates. In a similar manner to photonic and phononic crystals, two-dimensional structures in thin elastic plates are known as platonic crystals (PlaCs) and can be formed using scatterers of any shape arranged in any regular periodic geometry. The time-harmonic waves that propagate through these structures are governed by the fourth-order biharmonic plate equation, in contrast to the second-order Helmholtz equation which governs wave propagation through other crystals and media, such as deep water. Here we consider two-dimensional structures which are comprised of circular scatterers, pins, and arbitrary shapes arranged in a square array. In addition to these two-dimensional PlaCs, we consider wave scattering by other platonic structures, such as one-dimensional arrays, finite clusters and single bodies. For circular and pinned geometries the solution can be obtained analytically using multipole methods, but for arbitrary shapes this is not possible. Here we outline a solution method for an arbitrarily shaped smooth scatterer using boundary integral equations, which arise from an appropriate decomposition of the biharmonic operator. The resulting system of equations can then solved by implementing boundary conditions at the body edge and using boundary element methods (BEMs). To verify the BEM solutions we use the multipole solutions for circular geometries, which are outlined here. For a two-dimensional array of arbitrarily shaped bodies one can construct the scattering and transfer matrices corresponding to a one-dimensional array, and then search for admissible Bloch factors. This permits the construction of band surfaces which reveal when Bloch-Floquet waves can propagate through the array to infinity. We also demonstrate that PlaCs can steer and disperse flexural waves analogously to light in photonic crystals and elastic waves in phononic crystals, and we validate this directly using localised Gaussian beams for pinned clusters. For such pinned structures the solution can be obtained directly using the fundamental solution to the biharmonic plate equation, and using these compact incident waves we are able to confirm the existence of a number of interesting diffraction effects, including negative refraction in thin plates. We also demonstrate that strong energy localisation is possible within the defects and waveguides of pinned PlaCs, and show a number of analogues to well known optical phenomena such as platonic polarisers in two-dimensional arrays of arbitrarily shaped scatterers. A solution is also presented for a single arbitrary body and for one-dimensional arrays of arbitrary geometry.
Author : Elena Kossovich
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (817 download)
Download or read book Explicit Models for Flexural Edge and Interfacial Waves in Thin Elastic Plates written by Elena Kossovich and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In the thesis explicit dual parabolic-elliptic models are constructed for the Konenkov flexural edge wave and the Stoneley-type flexural interfacial wave in case of thin linearly elastic plates. These waves do not appear in an explicit form in the original equations of motion within the framework of the classical Kirchhoff plate theory. The thesis is aimed to highlight the contribution of the edge and interfacial waves into the overall displacement field by deriving specialised equations oriented to aforementioned waves only. The proposed models consist of a parabolic equation governing the wave propagation along a plate edge or plate junction along with an elliptic equation over the interior describing decay in depth. In this case the parabolicity of the one-dimensional edge and interfacial equations supports flexural wave dispersion. The methodology presented in the thesis reveals a dual nature of edge and interfacial plate waves contrasting them to bulk-type wave propagating in thin elastic structures. The thesis tackles a number of important examples of the edge and interfacial wave propagation. First, it addresses the propagation of Konenkov flexural wave in an elastic isotropic plate under prescribed edge loading. For the latter, parabolic-elliptic explicit models were constructed and thoroughly investigated. A similar problem for a semi-infinite orthotropic plate resulted in a more general dual parabolic-elliptic model. Finally, an anal- ogous model was derived and analysed for two isotropic semi-infinite Kirchhoff plates under perfect contact conditions.
Author : J. D. Achenbach
Publisher : Elsevier
ISBN 13 : 1483163733
Total Pages : 440 pages
Book Rating : 4.4/5 (831 download)
Download or read book Wave Propagation in Elastic Solids written by J. D. Achenbach and published by Elsevier. This book was released on 2016-01-21 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Propagation in Elastic Solids focuses on linearized theory and perfectly elastic media. This book discusses the one-dimensional motion of an elastic continuum; linearized theory of elasticity; elastodynamic theory; and elastic waves in an unbounded medium. The plane harmonic waves in elastic half-spaces; harmonic waves in waveguides; and forced motions of a half-space are also elaborated. This text likewise covers the transient waves in layers and rods; diffraction of waves by a slit; and thermal and viscoelastic effects, and effects of anisotropy and nonlinearity. Other topics include the summary of equations in rectangular coordinates, time-harmonic plane waves, approximate theories for rods, and transient in-plane motion of a layer. This publication is a good source for students and researchers conducting work on the wave propagation in elastic solids.
Author : Jan Awrejcewicz
Publisher : Springer Nature
ISBN 13 : 303077306X
Total Pages : 286 pages
Book Rating : 4.0/5 (37 download)
Download or read book Perspectives in Dynamical Systems I: Mechatronics and Life Sciences written by Jan Awrejcewicz and published by Springer Nature. This book was released on 2022-01-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference “Dynamical Systems: Theory and Applications”, held in Łódź, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
Author : J. D. Kaplunov
Publisher : Academic Press
ISBN 13 : 0123975905
Total Pages : 241 pages
Book Rating : 4.1/5 (239 download)
Download or read book Dynamics of Thin Walled Elastic Bodies written by J. D. Kaplunov and published by Academic Press. This book was released on 1998 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a study of the asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin elastic shells of an arbitrary shape.
Author : Walter L. Pilant
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.:/5 (211 download)
Download or read book The Propagation of Elastic Waves in Thin Plates written by Walter L. Pilant and published by . This book was released on 1960 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adriaan Jan DeWitte
Publisher :
ISBN 13 :
Total Pages : 682 pages
Book Rating : 4.:/5 (31 download)
Download or read book On Elastic Wave Propagation in Crystals with Applications to Calcite and Quartz written by Adriaan Jan DeWitte and published by . This book was released on 1962 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Propagation of Elastic Waves in Thin Plates: An analytical study of elastic waves using approximate equations of motion, by Billy C. Ellis written by and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald Monroe Donohoe
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (375 download)
Download or read book An experimental study of the propagation of elastic waves in thin plates written by Donald Monroe Donohoe and published by . This book was released on 1960 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. McCarthy
Publisher : Elsevier
ISBN 13 : 1483290662
Total Pages : 663 pages
Book Rating : 4.4/5 (832 download)
Download or read book Elastic Wave Propagation written by F. McCarthy and published by Elsevier. This book was released on 2018-06-20 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a timely collection of research papers on the latest developments in the ever-increasing use of elastic waves in a variety of contexts. There are reports on wave-propagation in various types of media: in both isotropic and anisotropic bodies; in homogeneous and inhomogeneous media; in media with cracks or inclusions in random media; and in layered composites.The bulk of the papers are concerned with propagation in elastic media, but also included are viscoelastic, thermoelastic and magneto-electroelastic wave propagation, as well as waves in porous and piezo-electric bodies. Consideration is given to propagation in bodies as diverse as stretched elastic strings to surfaces such as thin walled cylinders, and thin films under stress. Applications considered include the determination of the depth of cracks; analysis of ground motions generated by a finite fault in seismology; surface wave spreading on piezo-electric solids; and dynamical stress intensity factors. Most of the papers are theoretical in nature, and many are complemented by numerical studies. Also included are a general survey on experimental techniques, and reports on experimental work.The volume will be of interest to those who do theoretical studies of elastic wave propagation and to those who apply elastic waves whether in seismology, non-destructive testing, the fabrication of devices or underwater acoustics, etc.
Author : Hossein Ayati
Publisher :
ISBN 13 :
Total Pages : 250 pages
Book Rating : 4.:/5 (18 download)
Download or read book Wave Propagation in Thin Elastic Shells written by Hossein Ayati and published by . This book was released on 1972 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Propagation of Elastic Waves in Thin Plates written by and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Billy C. Ellis
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (725 download)
Download or read book Propagation of elastic waves in thin plates written by Billy C. Ellis and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank J. Fahy
Publisher : Elsevier
ISBN 13 : 0080471102
Total Pages : 666 pages
Book Rating : 4.0/5 (84 download)
Download or read book Sound and Structural Vibration written by Frank J. Fahy and published by Elsevier. This book was released on 2007-01-12 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Sound and Structural Vibration was written in the early 1980s. Since then, two major developments have taken place in the field of vibroacoustics. Powerful computational methods and procedures for the numerical analysis of structural vibration, acoustical fields and acoustical interactions between fluids and structures have been developed and these are now universally employed by researchers, consultants and industrial organisations. Advances in signal processing systems and algorithms, in transducers, and in structural materials and forms of construction, have facilitated the development of practical means of applying active and adaptive control systems to structures for the purposes of reducing or modifying structural vibration and the associated sound radiation and transmission. In this greatly expanded and extensively revised edition, the authors have retained most of the analytically based material that forms the pedagogical content of the first edition, and have expanded it to present the theoretical foundations of modern numerical analysis. Application of the latter is illustrated by examples that have been chosen to complement the analytical approaches to solving fairly simple problems of sound radiation, transmission and fluid-structural coupling that are presented in the first edition. The number of examples of experimental data that relate to the theoretical content, and illustrate important features of vibroacoustic interaction, has been augmented by the inclusion of a selection from the vast amount of material published during the past twenty five years. The final chapter on the active control of sound and vibration has no precursor in the first edition. * Covers theoretical approaches to modeling and analysis* Highly applicable to challenges in industry and academia* For engineering students to use throughout their career
Author : Jan Achenbach
Publisher : Elsevier
ISBN 13 : 0080934714
Total Pages : 440 pages
Book Rating : 4.0/5 (89 download)
Download or read book Wave Propagation in Elastic Solids written by Jan Achenbach and published by Elsevier. This book was released on 2012-12-02 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.
