Dynamics Of Thin Walled Elastic Bodies

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Dynamics of Thin Walled Elastic Bodies

Author : J. D. Kaplunov
Publisher : Elsevier
ISBN 13 : 0080504868
Total Pages : 241 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Dynamics of Thin Walled Elastic Bodies by : J. D. Kaplunov

Download or read book Dynamics of Thin Walled Elastic Bodies written by J. D. Kaplunov and published by Elsevier. This book was released on 2012-12-02 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a well-known group of researchers from Moscow, this book 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. Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains. Dynamics of Thin Walled Elastic Bodies shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells, and offers new, mathematically more consistent ways of describing the dynamics of shells. Studies the asymptotic approximations of the 3-D dynamical equations of elasticity Vibration of shells is a very useful theory in space techniques, submarine detection, and other high-tech domains Shows that refined shell theories used in engineering practice give a distorted picture of the high-frequency or non-stationary dynamics of shells Offers new, mathematically more consistent ways of describing the dynamics of shells

Localized Dynamics of Thin-Walled Shells

Author : Gennadi I. Mikhasev
Publisher : CRC Press
ISBN 13 : 1351630687
Total Pages : 220 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Localized Dynamics of Thin-Walled Shells by : Gennadi I. Mikhasev

Download or read book Localized Dynamics of Thin-Walled Shells written by Gennadi I. Mikhasev and published by CRC Press. This book was released on 2020-04-17 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface. Features First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

Asymptotical Mechanics of Thin-Walled Structures

Author : Igor V. Andrianov
Publisher : Springer Science & Business Media
ISBN 13 : 354045246X
Total Pages : 527 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Asymptotical Mechanics of Thin-Walled Structures by : Igor V. Andrianov

Download or read book Asymptotical Mechanics of Thin-Walled Structures written by Igor V. Andrianov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.

Nonlinear Mechanics of Thin-Walled Structures

Author : Yury Vetyukov
Publisher : Springer Science & Business Media
ISBN 13 : 3709117771
Total Pages : 280 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Nonlinear Mechanics of Thin-Walled Structures by : Yury Vetyukov

Download or read book Nonlinear Mechanics of Thin-Walled Structures written by Yury Vetyukov and published by Springer Science & Business Media. This book was released on 2014-01-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book. A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures are presented with a comprehensive discussion regarding the theoretical basis, computational aspects and implementation details. Analytical conclusions and closed-form solutions of particular problems are validated against numerical results. The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.

Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

Author : Jan Awrejcewicz
Publisher : Springer Nature
ISBN 13 : 303037663X
Total Pages : 615 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members by : Jan Awrejcewicz

Download or read book Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members written by Jan Awrejcewicz and published by Springer Nature. This book was released on 2020-04-06 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Recent Approaches in the Theory of Plates and Plate-Like Structures

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030871851
Total Pages : 326 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Recent Approaches in the Theory of Plates and Plate-Like Structures by : Holm Altenbach

Download or read book Recent Approaches in the Theory of Plates and Plate-Like Structures written by Holm Altenbach and published by Springer Nature. This book was released on 2022-01-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

Author : Jan Awrejcewicz
Publisher : Springer Science & Business Media
ISBN 13 : 3642556779
Total Pages : 432 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells by : Jan Awrejcewicz

Download or read book Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Mechanics of Heterogeneous Materials

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3031287444
Total Pages : 533 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Mechanics of Heterogeneous Materials by : Holm Altenbach

Download or read book Mechanics of Heterogeneous Materials written by Holm Altenbach and published by Springer Nature. This book was released on 2023-07-12 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is published on dedication of Prof. Dr. Igor Sevostianov who passed away in 2021. He was a great Russian-American scientist who made significant contributions in the field of mechanics of heterogeneous media. This book contains research papers from his friends and colleagues in this research field.

Mechanics of High-Contrast Elastic Solids

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 303124141X
Total Pages : 271 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Mechanics of High-Contrast Elastic Solids by : Holm Altenbach

Download or read book Mechanics of High-Contrast Elastic Solids written by Holm Altenbach and published by Springer Nature. This book was released on 2023-04-11 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the most recent results in the area of strongly inhomogeneous composite structures, including layered materials as well as continua with microstructure. This collection of papers mainly arises from the Euromech Colloquium No. 626 on “Mechanics of High-Contrast Elastic Composites”. Focus is set on the peculiar mechanical behaviour caused by adjoining widely different structural elements (high contrast) in terms of material and/or geometrical properties.

Multiscale Solid Mechanics

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3030549283
Total Pages : 509 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Multiscale Solid Mechanics by : Holm Altenbach

Download or read book Multiscale Solid Mechanics written by Holm Altenbach and published by Springer Nature. This book was released on 2020-11-09 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the current of the state of the art in the multiscale mechanics of solids and structures. It comprehensively discusses new materials, including theoretical and experimental investigations their durability and strength, as well as fractures and damage

Theories of Plates and Shells

Author : Reinhold Kienzler
Publisher : Springer Science & Business Media
ISBN 13 : 3540399054
Total Pages : 258 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Theories of Plates and Shells by : Reinhold Kienzler

Download or read book Theories of Plates and Shells written by Reinhold Kienzler and published by Springer Science & Business Media. This book was released on 2013-06-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

Author : Isaac E Elishakoff
Publisher : World Scientific
ISBN 13 : 9813236531
Total Pages : 798 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories by : Isaac E Elishakoff

Download or read book Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories written by Isaac E Elishakoff and published by World Scientific. This book was released on 2019-10-29 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)

Structural Mechanics of Anti-Sandwiches

Author : Marcus Aßmus
Publisher : Springer
ISBN 13 : 3030043541
Total Pages : 127 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Structural Mechanics of Anti-Sandwiches by : Marcus Aßmus

Download or read book Structural Mechanics of Anti-Sandwiches written by Marcus Aßmus and published by Springer. This book was released on 2018-12-08 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive introduction to the mechanics of anti-sandwiches: non-classical composites with multiple homogeneous layers but widely differing parameters concerning their geometry and materials. Therefore, they require special attention in the context of structural mechanics. The theoretical framework presented here is based on a five parametric, planar continuum, which is a pragmatic version of the COSSERAT shell. The direct approach used here is enlarged where constraints are introduced to couple layers and furnish a layer-wise theory. Restrictions are made in terms of linearity – geometrical and physical. After having defined appropriate variables for the kinematics and kinetics, linear elastic material behaviour is considered, where the constitutive tensors are introduced in the context of isotropy. The basics are presented in a clear and distinct manner using index-free tensor notation. This format is simple, concise, and practical. Closed-form solutions of such boundary value problems are usually associated with serious limitations on the boundary conditions, which constitutes a serious disadvantage. To construct approximate solutions, a variational method is employed as the basis for computational procedures where the Finite Element Method is applied. Therefore, the introduction of the vector-matrix notation is convenient. Based on the plane considerations, a finite eight-node SERENDIPITY element with enlarged degrees of freedom is realised. To avoid artificial stiffening effects, various integration types are applied, and the solutions generated are subsequently verified with closed-form solutions for monolithic limiting cases. Within this setting, it is possible to efficiently calculate the global structural behaviour of Anti-Sandwiches, at least up to a certain degree. The power of the proposed method in combination with the numerical solution approach is demonstrated for several case and parameter studies. In this regard, the optimal geometrical and material parameters to increase stiffness are analysed and the results for the kinematic and kinetic quantities are discussed.

Advances in Mechanical Engineering

Author : Alexander N. Evgrafov
Publisher : Springer Nature
ISBN 13 : 3031300270
Total Pages : 223 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Advances in Mechanical Engineering by : Alexander N. Evgrafov

Download or read book Advances in Mechanical Engineering written by Alexander N. Evgrafov and published by Springer Nature. This book was released on 2023-04-21 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws together the most interesting recent results to emerge in mechanical engineering in Russia, providing a fascinating overview of the state of the art in the field in that country which will be of interest to a wide readership. A broad range of topics and issues in modern engineering is discussed, including dynamics of machines, materials engineering, structural strength and tribological behavior, transport technologies, machinery quality and innovations. The book comprises selected papers presented at the 11th conference “Modern Engineering: Science and Education”, held at the Saint Petersburg State Polytechnic University in June 2022 with the support of the Russian Engineering Union. The authors are experts in various fields of engineering, and all of the papers have been carefully reviewed. The book is of interest to mechanical engineers, lecturers in engineering disciplines and engineering graduates.

Advances in Solid and Fracture Mechanics

Author : Holm Altenbach
Publisher : Springer Nature
ISBN 13 : 3031183932
Total Pages : 302 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Advances in Solid and Fracture Mechanics by : Holm Altenbach

Download or read book Advances in Solid and Fracture Mechanics written by Holm Altenbach and published by Springer Nature. This book was released on 2022-11-08 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of articles reporting the current challenges in solid and fracture mechanics. The book is devoted to the 90th birthday of academician Nikita F. Morozov—a well-known specialist in the field of solid and fracture mechanics.

Modern Trends in Composite Laminates Mechanics

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3709125448
Total Pages : 302 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Modern Trends in Composite Laminates Mechanics by : Holm Altenbach

Download or read book Modern Trends in Composite Laminates Mechanics written by Holm Altenbach and published by Springer. This book was released on 2014-05-04 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to give a clear picture of some new modern trends in composite mechanics and to give a presentation of the current state-of-the-art of the theory and application of composite laminates. The book addresses the basics as well as recent developments in the theory of laminates and their effective properties, the problem of testing and identification of properties, strength, damage, and failure of composite laminates, lightweight construction principles, optimization techniques, the generation of smart structures, and a number of special technical aspects (e.g. stress localization), their modelling and analysis. The intention of the book is to provide deeper understanding, to give mathematical and algorithmic techniques for analysis, simulation and optimization and to link various aspects of composite mechanics as necessary to exploit the full potential that is possible for composite structures.

Asymptotic methods in mechanics of solids

Author : Svetlana M. Bauer
Publisher : Birkhäuser
ISBN 13 : 3319183117
Total Pages : 342 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Asymptotic methods in mechanics of solids by : Svetlana M. Bauer

Download or read book Asymptotic methods in mechanics of solids written by Svetlana M. Bauer and published by Birkhäuser. This book was released on 2015-05-30 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.