Asymptotical Mechanics Of Thin Walled Structures

Asymptotical Mechanics Of Thin Walled Structures Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Asymptotical Mechanics Of Thin Walled Structures book. This book definitely worth reading, it is an incredibly well-written.

Asymptotical Mechanics of Thin-Walled Structures

Igor V. Andrianov,Jan Awrejcewicz,Leonid I. Manevitch
Asymptotical Mechanics of Thin Walled Structures Book PDF

Author : Igor V. Andrianov,Jan Awrejcewicz,Leonid I. Manevitch
Publisher : Springer Science & Business Media
Page : 527 pages
File Size : 48,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783540452461

Get Book

Asymptotical Mechanics of Thin-Walled Structures by Igor V. Andrianov,Jan Awrejcewicz,Leonid I. Manevitch Pdf

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

Yury Vetyukov
Nonlinear Mechanics of Thin Walled Structures Book PDF

Author : Yury Vetyukov
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 52,5 Mb
Release : 2014-01-23
Category : Science
ISBN : 9783709117774

Get Book

Nonlinear Mechanics of Thin-Walled Structures by Yury Vetyukov Pdf

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.

Shell Structures, Theory and Applications

Wojciech Pietraszkiewicz,Czeslaw Szymczak
Shell Structures Theory and Applications Book PDF

Author : Wojciech Pietraszkiewicz,Czeslaw Szymczak
Publisher : CRC Press
Page : 656 pages
File Size : 51,9 Mb
Release : 2005-09-22
Category : Technology & Engineering
ISBN : 0415383900

Get Book

Shell Structures, Theory and Applications by Wojciech Pietraszkiewicz,Czeslaw Szymczak Pdf

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

Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr E. Tovstik,Rémi Vaillancourt
Asymptotic methods in mechanics of solids Book PDF

Author : Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr E. Tovstik,Rémi Vaillancourt
Publisher : Birkhäuser
Page : 325 pages
File Size : 40,7 Mb
Release : 2015-05-30
Category : Mathematics
ISBN : 9783319183114

Get Book

Asymptotic methods in mechanics of solids by Svetlana M. Bauer,Sergei B. Filippov,Andrei L. Smirnov,Petr E. Tovstik,Rémi Vaillancourt Pdf

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

Igor V. Andrianov,Jan Awrejcewicz,Vladyslav V. Danishevskyy
Asymptotical Mechanics of Composites Book PDF

Author : Igor V. Andrianov,Jan Awrejcewicz,Vladyslav V. Danishevskyy
Publisher : Springer
Page : 329 pages
File Size : 43,5 Mb
Release : 2017-11-09
Category : Science
ISBN : 9783319657868

Get Book

Asymptotical Mechanics of Composites by Igor V. Andrianov,Jan Awrejcewicz,Vladyslav V. Danishevskyy Pdf

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.

Thin-walled Laminated Structures

Gennadi I. Mikhasev,Holm Altenbach
Thin walled Laminated Structures Book PDF

Author : Gennadi I. Mikhasev,Holm Altenbach
Publisher : Springer
Page : 280 pages
File Size : 55,5 Mb
Release : 2019-04-29
Category : Science
ISBN : 9783030127619

Get Book

Thin-walled Laminated Structures by Gennadi I. Mikhasev,Holm Altenbach Pdf

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.

Modern Trends in Structural and Solid Mechanics 2

Noel Challamel,Julius Kaplunov,Izuru Takewaki
Modern Trends in Structural and Solid Mechanics 2 Book PDF

Author : Noel Challamel,Julius Kaplunov,Izuru Takewaki
Publisher : John Wiley & Sons
Page : 306 pages
File Size : 43,9 Mb
Release : 2021-06-08
Category : Science
ISBN : 9781119831846

Get Book

Modern Trends in Structural and Solid Mechanics 2 by Noel Challamel,Julius Kaplunov,Izuru Takewaki Pdf

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.

Localized Dynamics of Thin-Walled Shells

Gennadi I. Mikhasev,Petr E. Tovstik
Localized Dynamics of Thin Walled Shells Book PDF

Author : Gennadi I. Mikhasev,Petr E. Tovstik
Publisher : CRC Press
Page : 220 pages
File Size : 41,7 Mb
Release : 2020-04-17
Category : Mathematics
ISBN : 9781351630689

Get Book

Localized Dynamics of Thin-Walled Shells by Gennadi I. Mikhasev,Petr E. Tovstik Pdf

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

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

Jack R. Vinson
The Behavior of Thin Walled Structures Beams Plates and Shells Book PDF

Author : Jack R. Vinson
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400927742

Get Book

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

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.

Problems of Nonlinear Mechanics and Physics of Materials

Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman
Problems of Nonlinear Mechanics and Physics of Materials Book PDF

Author : Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman
Publisher : Springer
Page : 527 pages
File Size : 47,6 Mb
Release : 2018-07-31
Category : Science
ISBN : 9783319922348

Get Book

Problems of Nonlinear Mechanics and Physics of Materials by Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman Pdf

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.

Nonlinearity, Bifurcation and Chaos

Jan Awrejcewicz,Peter Hagedorn
Nonlinearity Bifurcation and Chaos Book PDF

Author : Jan Awrejcewicz,Peter Hagedorn
Publisher : BoD – Books on Demand
Page : 360 pages
File Size : 48,5 Mb
Release : 2012-10-24
Category : Mathematics
ISBN : 9789535108160

Get Book

Nonlinearity, Bifurcation and Chaos by Jan Awrejcewicz,Peter Hagedorn Pdf

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.

Thin-Walled Structures - Advances and Developments

J. Zaras,K. Kowal-Michalska,J. Rhodes
Thin Walled Structures Advances and Developments Book PDF

Author : J. Zaras,K. Kowal-Michalska,J. Rhodes
Publisher : Elsevier
Page : 780 pages
File Size : 41,7 Mb
Release : 2001-06-18
Category : Technology & Engineering
ISBN : 9780080551708

Get Book

Thin-Walled Structures - Advances and Developments by J. Zaras,K. Kowal-Michalska,J. Rhodes Pdf

This volume contains the papers presented at the Third International Conference on Thin-Walled Structures, Cracow, Poland on June 5-7, 2001. There has been a substantial growth in knowledge in the field of Thin-Walled Structures over the past few decades. Lightweight structures are in widespread use in the Civil Engineering, Mechanical Engineering, Aeronautical, Automobile, Chemical and Offshore Engineering fields. The development of new processes, new methods of connections, new materials has gone hand-in-hand with the evolution of advanced analytical methods suitable for dealing with the increasing complexity of the design work involved in ensuring safety and confidence in the finished products. Of particular importance with regard to the analytical process is the growth in use of the finite element method. This method, about 40 years ago, was confined to rather specialist use, mainly in the aeronautical field, because of its requirements for substantial calculation capacity. The development over recent years of extremely powerful microcomputers has ensured that the application of the finite element method is now possible for problems in all fields of engineering, and a variety of finite element packages have been developed to enhance the ease of use and the availability of the method in the engineering design process.

Asymptotic Methods for Engineers

Igor V. Andrianov,Jan Awrejcewicz
Asymptotic Methods for Engineers Book PDF

Author : Igor V. Andrianov,Jan Awrejcewicz
Publisher : CRC Press
Page : 409 pages
File Size : 55,5 Mb
Release : 2024-05-20
Category : Mathematics
ISBN : 9781040032770

Get Book

Asymptotic Methods for Engineers by Igor V. Andrianov,Jan Awrejcewicz Pdf

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

Tomasz Kubiak
Static and Dynamic Buckling of Thin Walled Plate Structures Book PDF

Author : Tomasz Kubiak
Publisher : Springer Science & Business Media
Page : 188 pages
File Size : 44,8 Mb
Release : 2013-06-28
Category : Science
ISBN : 9783319006543

Get Book

Static and Dynamic Buckling of Thin-Walled Plate Structures by Tomasz Kubiak Pdf

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.

Mechanics of Structural Elements

Vladimir Slivker
Mechanics of Structural Elements Book PDF

Author : Vladimir Slivker
Publisher : Springer Science & Business Media
Page : 787 pages
File Size : 49,5 Mb
Release : 2006-12-18
Category : Technology & Engineering
ISBN : 9783540447214

Get Book

Mechanics of Structural Elements by Vladimir Slivker Pdf

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.