Asymptotical Mechanics Of Thin Walled Structures

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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 : 272 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 272 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.

Thin-walled Laminated Structures

Author : Gennadi I. Mikhasev
Publisher : Springer
ISBN 13 : 3030127613
Total Pages : 280 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Thin-walled Laminated Structures by : Gennadi I. Mikhasev

Download or read book Thin-walled Laminated Structures written by Gennadi I. Mikhasev and published by Springer. This book was released on 2019-04-29 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a theoretical approach that allows the analysis of structures with magnetorheological and electrorheological layers, and shows, with the help of examples, how the mechanical behaviour of thin-walled laminated structures can be influenced. It consists of six chapters: Chapter 1 presents a brief overview of derivation approaches for theories of thin-walled structures, modelling of composites and modelling of laminated and sandwich structures. Chapter 2 describes the equivalent single layer model for thin laminated cylindrical shells, including the special cases of plates and beams. In addition to the classical mechanical properties, it also considers the electrorheological and magnetorheological properties. Chapter 3 presents the elastic buckling of laminated beams, plates, and cylindrical shells, discussing various problems, such as the influence of the boundary conditions, external loading and magnetic fields. It also suggests different approximations for asymptotic methods. Chapter 4 focuses on the free vibrations of elastic laminated beams, plates and cylindrical shells, investigating the influence of the boundary conditions and other factors. Chapter 5 presents the latest results concerning vibration of laminated structures composed of smart materials and discusses in detail the influence of electric and magnetic fields on smart structures. These results provide insights into the optimal design of these structures. Lastly, Chapter 6 features a short appendix presenting asymptotic estimates and series.

Shell Structures, Theory and Applications

Author : Wojciech Pietraszkiewicz
Publisher : CRC Press
ISBN 13 : 9780415383905
Total Pages : 656 pages
Book Rating : 4.3/5 (839 download)

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Book Synopsis Shell Structures, Theory and Applications by : Wojciech Pietraszkiewicz

Download or read book Shell Structures, Theory and Applications written by Wojciech Pietraszkiewicz and published by CRC Press. This book was released on 2005-09-22 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shells are basic structural elements of modern technology. Examples of shell structures include automobile bodies, domes, water and oil tanks, pipelines, ship hulls, aircraft fuselages, turbine blades, laudspeaker cones, but also balloons, parachutes, biological membranes, a human skin, a bottle of wine or a beer can. This volume contains full texts of over 100 papers presented by specialists from over 20 countries at the 8th Conference "Shell Structures: Theory and Applications", 12-14 October, 2005 in Jurata (Poland). The aim of the meeting was to bring together scientists, designers, engineers and other specialists in shell structures in order to discuss important results and new ideas in this field. The goal is to pursue more accurate theoretical models, to develop more powerful and versatile methods of analysis, and to disseminate expertise in design and maintenance of shell structures. Among the authors there are many distinguished specialists of shell structures, including the authors of general lectures: I.V. Andrianov (Ukraine), V.A. Eremeyev (Russia), A. Ibrahimbegovic (France), P. Klosowski (Poland), B.H. Kröplin (Germany), E. Ramm (Germany), J.M. Rotter (UK) and D. Steigmann (USA). The subject area of the papers covers various theoretical models and numerical analyses of strength, dynamics, stability, optimization etc. of different types of shell structures, their design and maintenance, as well as modelling of some surface-related mechanical phenomena.

Asymptotic methods in mechanics of solids

Author : Svetlana M. Bauer
Publisher : Birkhäuser
ISBN 13 : 3319183117
Total Pages : 325 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 325 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.

Asymptotical Mechanics of Composites

Author : Igor V. Andrianov
Publisher : Springer
ISBN 13 : 3319657860
Total Pages : 329 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Asymptotical Mechanics of Composites by : Igor V. Andrianov

Download or read book Asymptotical Mechanics of Composites written by Igor V. Andrianov and published by Springer. This book was released on 2017-11-09 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems. The book focuses on this asymptotic-modeling-based approach because it allows us to define the most important out of numerous parameters describing the system, or, in other words, the asymptotic methods allow us to estimate the sensitivity of the system parameters. Further, the book addresses the construction of nonlocal and higher-order homogenized models. Local fields on the micro-level and the influence of so-called non-ideal contact between the matrix and inclusions are modeled and investigated. The book then studies composites with non-regular structure and cluster type composite conductivity, and analyzes edge effects in fiber composite materials. Transition of load from a fiber to a matrix for elastic and viscoelastic composites, various types of fiber composite fractures, and buckling of fibers in fiber-reinforced composites is also investigated. Last but not least, the book includes studies on perforated membranes, plates, and shells, as well as the asymptotic modeling of imperfect nonlinear interfaces.

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

Modern Trends in Structural and Solid Mechanics 2

Author : Noel Challamel
Publisher : John Wiley & Sons
ISBN 13 : 1119831849
Total Pages : 306 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Modern Trends in Structural and Solid Mechanics 2 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 2 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Nonlinearity, Bifurcation and Chaos

Author : Jan Awrejcewicz
Publisher : BoD – Books on Demand
ISBN 13 : 9535108166
Total Pages : 360 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Nonlinearity, Bifurcation and Chaos by : Jan Awrejcewicz

Download or read book Nonlinearity, Bifurcation and Chaos written by Jan Awrejcewicz and published by BoD – Books on Demand. This book was released on 2012-10-24 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity, Bifurcation and Chaos - Theory and Application is an edited book focused on introducing both theoretical and application oriented approaches in science and engineering. It contains 12 chapters, and is recommended for university teachers, scientists, researchers, engineers, as well as graduate and post-graduate students either working or interested in the field of nonlinearity, bifurcation and chaos.

Problems of Nonlinear Mechanics and Physics of Materials

Author : Igor V. Andrianov
Publisher : Springer
ISBN 13 : 3319922343
Total Pages : 527 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Problems of Nonlinear Mechanics and Physics of Materials by : Igor V. Andrianov

Download or read book Problems of Nonlinear Mechanics and Physics of Materials written by Igor V. Andrianov and published by Springer. This book was released on 2018-07-31 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

The Behavior of Thin Walled Structures: Beams, Plates, and Shells

Author : Jack R. Vinson
Publisher : Springer Science & Business Media
ISBN 13 : 9400927746
Total Pages : 194 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis The Behavior of Thin Walled Structures: Beams, Plates, and Shells by : Jack R. Vinson

Download or read book The Behavior of Thin Walled Structures: Beams, Plates, and Shells written by Jack R. Vinson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended primarily as a teaching text, as well as a reference for individual study in the behavior of thin walled structural components. Such structures are widely used in the engineering profession for spacecraft, missiles, aircraft, land-based vehicles, ground structures, ocean craft, underwater vessels and structures, pressure vessels, piping, chemical processing equipment, modern housing, etc. It presupposes that the reader has already completed one basic course in the mechanics or strength of materials. It can be used for both undergraduate and graduate courses. Since beams (columns, rods), plates and shells comprise components of so many of these modern structures, it is necessary for engineers to have a working knowledge of their behavior when these structures are subjected to static, dynamic (vibration and shock) and environmental loads. Since this text is intended for both teaching and self-study, it stresses fundamental behavior and techniques of solution. It is not an encyclopedia of all research or design data, but provides the reader the wherewithal to read and study the voluminous literature. Chapter 1 introduces the three-dimensional equations oflinear elasticity, deriving them to the extent necessary to treat the following material. Chapter 2 presents, in a concise way, the basic assumptions and derives the governing equations for classical Bernoulli-Euler beams and plates in a manner that is clearly understood.

Computational and Numerical Simulations

Author : Jan Awrejcewicz
Publisher : BoD – Books on Demand
ISBN 13 : 9535112201
Total Pages : 492 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Computational and Numerical Simulations by : Jan Awrejcewicz

Download or read book Computational and Numerical Simulations written by Jan Awrejcewicz and published by BoD – Books on Demand. This book was released on 2014-02-12 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational and Numerical Simulations is an edited book including 20 chapters. Book handles the recent research devoted to numerical simulations of physical and engineering systems. It presents both new theories and their applications, showing bridge between theoretical investigations and possibility to apply them by engineers of different branches of science. Numerical simulations play a key role in both theoretical and application oriented research.

Asymptotic Methods for Engineers

Author : Igor V. Andrianov
Publisher : CRC Press
ISBN 13 : 104003277X
Total Pages : 409 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Asymptotic Methods for Engineers by : Igor V. Andrianov

Download or read book Asymptotic Methods for Engineers written by Igor V. Andrianov and published by CRC Press. This book was released on 2024-05-20 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic Methods for Engineers is based on the authors’ many years of practical experience in the application of asymptotic methods to solve engineering problems. This book is devoted to modern asymptotic methods (AM), which is widely used in engineering, applied sciences, physics, and applied mathematics. Avoiding complex formal calculations and justifications, the book’s main goal is to describe the main ideas and algorithms. Moreover, not only is there a presentation of the main AM, but there is also a focus on demonstrating their unity and inseparable connection with the methods of summation and asymptotic interpolation. The book will be useful for students and researchers from applied mathematics and physics and of interest to doctoral and graduate students, university and industry professors from various branches of engineering (mechanical, civil, electro-mechanical, etc.).

Static and Dynamic Buckling of Thin-Walled Plate Structures

Author : Tomasz Kubiak
Publisher : Springer Science & Business Media
ISBN 13 : 3319006541
Total Pages : 188 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Static and Dynamic Buckling of Thin-Walled Plate Structures by : Tomasz Kubiak

Download or read book Static and Dynamic Buckling of Thin-Walled Plate Structures written by Tomasz Kubiak and published by Springer Science & Business Media. This book was released on 2013-06-28 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with buckling and postbuckling behavior of thin plates and thin-walled structures with flat wall subjected to static and dynamic load. The investigations are carried out in elastic range. The basic assumption here is the thin plate theory. This method is used to determination the buckling load and postbuckling analysis of thin-walled structures subjected to static and dynamic load. The book introduces two methods for static and dynamic buckling investigation which allow for a wider understanding of the phenomenon. Two different methods also can allow uncoupling of the phenomena occurring at the same time and attempt to estimate their impact on the final result. A general mathematical model, adopted in proposed analytical-numerical method, enables the consideration of all types of stability loss i.e.local, global and interactive forms of buckling. The applied numerical-numerical method includes adjacent of walls, shear-lag phenomenon and a deplanation of cross-sections.

Asymptotic Methods in Mechanics

Author : Rmi Vaillancourt
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870266
Total Pages : 308 pages
Book Rating : 4.8/5 (72 download)

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Book Synopsis Asymptotic Methods in Mechanics by : Rmi Vaillancourt

Download or read book Asymptotic Methods in Mechanics written by Rmi Vaillancourt and published by American Mathematical Soc.. This book was released on 1993-12-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic methods constitute an important area of both pure and applied mathematics and have applications to a vast array of problems. This collection of papers is devoted to asymptotic methods applied to mechanical problems, primarily thin structure problems. The first section presents a survey of asymptotic methods and a review of the literature, including the considerable body of Russian works in this area. This part may be used as a reference book or as a textbook for advanced undergraduate or graduate students in mathematics or engineering. The second part presents original papers containing new results. Among the key features of the book are its analysis of the general theory of asymptotic integration with applications to the theory of thin shells and plates, and new results about the local forms of vibrations and buckling of thin shells which have not yet made their way into other monographs on this subject.

Tractable Models of Solid Mechanics

Author : Oleg V. Gendelman
Publisher : Springer Science & Business Media
ISBN 13 : 3642153720
Total Pages : 310 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Tractable Models of Solid Mechanics by : Oleg V. Gendelman

Download or read book Tractable Models of Solid Mechanics written by Oleg V. Gendelman and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes significant tractable models used in solid mechanics - classical models used in modern mechanics as well as new ones. The models are selected to illustrate the main ideas which allow scientists to describe complicated effects in a simple manner and to clarify basic notations of solid mechanics. A model is considered to be tractable if it is based on clear physical assumptions which allow the selection of significant effects and relatively simple mathematical formulations. The first part of the book briefly reviews classical tractable models for a simple description of complex effects developed from the 18th to the 20th century and widely used in modern mechanics. The second part describes systematically the new tractable models used today for the treatment of increasingly complex mechanical objects – from systems with two degrees of freedom to three-dimensional continuous objects.

Mechanics of Structural Elements

Author : Vladimir Slivker
Publisher : Springer Science & Business Media
ISBN 13 : 3540447210
Total Pages : 787 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mechanics of Structural Elements by : Vladimir Slivker

Download or read book Mechanics of Structural Elements written by Vladimir Slivker and published by Springer Science & Business Media. This book was released on 2006-12-18 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics.