Asymptotic Methods In Mechanics Of Solids PDF Download
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| Author | : Igor V. Andrianov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 548 |
| Release | : 2004-01-12 |
| Genre | : Mathematics |
| ISBN | : 9783540408765 |
Download Asymptotical Mechanics of Thin-Walled Structures Book in PDF, ePub and Kindle
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 its 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.
| Author | : Igor V. Andrianov |
| Publisher | : CRC Press |
| Total Pages | : 265 |
| Release | : 2024-05-16 |
| Genre | : Mathematics |
| ISBN | : 1040032710 |
Download Asymptotic Methods for Engineers Book in PDF, ePub and Kindle
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.).
| Author | : Svetlana M. Bauer |
| Publisher | : Birkhäuser |
| Total Pages | : 342 |
| Release | : 2015-05-30 |
| Genre | : Mathematics |
| ISBN | : 3319183117 |
Download Asymptotic methods in mechanics of solids Book in PDF, ePub and Kindle
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.
| Author | : David Y. Gao |
| Publisher | : CRC Press |
| Total Pages | : 270 |
| Release | : 2006-05-03 |
| Genre | : Mathematics |
| ISBN | : 1420011731 |
Download Introduction to Asymptotic Methods Book in PDF, ePub and Kindle
Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, Introduction to Asymptotic Methods reviews the most important m
| Author | : B Vainberg |
| Publisher | : CRC Press |
| Total Pages | : 516 |
| Release | : 1989-02-25 |
| Genre | : Science |
| ISBN | : 9782881246647 |
Download Asymptotic Methods in Equations of Mathematical Physics Book in PDF, ePub and Kindle
Typed English translation of a monograph first published (in Russian) in 1982. Provides graduate students and researchers with usefully detailed discussion of most of the asymptotic methods standard these days to the work of mathematical physicists. The author prefers not to dwell in the heights of abstraction; he has written a broadly intelligble book, which is informed at every point by his secure command of major physical applications. An expensive but valuable contribution to the literature of an important but too-little-written- about field. Twelve chapters, references. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
| Author | : A.B. Movchan |
| Publisher | : CRC Press |
| Total Pages | : 340 |
| Release | : 2020-07-26 |
| Genre | : Mathematics |
| ISBN | : 1000099288 |
Download Mathematical Modelling of Solids with Nonregular Boundaries Book in PDF, ePub and Kindle
Mathematical Modelling of Solids with Nonregular Boundaries demonstrates the use of asymptotic methods and other analytical techniques for investigating problems in solid mechanics. Applications to solids with nonregular boundaries are described in detail, providing precise and rigorous treatment of current methods and techniques. The book addresses problems in fracture mechanics of inhomogeneous media and illustrates applications in strength analysis and in geophysics. The rigorous approach allows the reader to explicitly analyze the stress-strain state in continuous media with cavities or inclusions, in composite materials with small defects, and in elastic solids with sharp inclusions. Effective asymptotic procedures for eigenvalue problems in domains with small defects are clearly outlined, and methods for analyzing singularly perturbed boundary value problems are examined. Introductory material is provided in the first chapter of Mathematical Modelling of Solids with Nonregular Boundaries, which presents a survey of relevant and necessary information, including equations of linear elasticity and formulations of the boundary value problems. Background information - in the form of definitions and general solutions - is also provided on elasticity problems in various bounded and unbounded domains. This book is an excellent resource for students, applied scientists, and engineers.
| Author | : Bruce Einar Bennett |
| Publisher | : |
| Total Pages | : 222 |
| Release | : 1979 |
| Genre | : Dynamics |
| ISBN | : |
Download Studies in Dynamics and the Application of Asymptotic Methods in Solid Mechanics Book in PDF, ePub and Kindle
| Author | : Igor V. Andrianov |
| Publisher | : Springer |
| Total Pages | : 333 |
| Release | : 2017-11-09 |
| Genre | : Science |
| ISBN | : 3319657860 |
Download Asymptotical Mechanics of Composites Book in PDF, ePub and Kindle
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.
| Author | : Eugeniu Grebenikov |
| Publisher | : CRC Press |
| Total Pages | : 282 |
| Release | : 2004-03-02 |
| Genre | : Mathematics |
| ISBN | : 9780203409831 |
Download Asymptotic Methods in Resonance Analytical Dynamics Book in PDF, ePub and Kindle
Asymptotic Methods in Resonance Analytical Dynamics presents new asymptotic methods for the analysis and construction of solutions (mainly periodic and quasiperiodic) of differential equations with small parameters. Along with some background material and theory behind these methods, the authors also consider a variety of problems and applications in nonlinear mechanics and oscillation theory. The methods examined are based on two types: the generalized averaging technique of Krylov-Bogolubov and the numeric-analytical iterations of Lyapunov-Poincaré. This text provides a useful source of reference for postgraduates and researchers working in this area of applied mathematics.
| Author | : Rmi Vaillancourt |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 308 |
| Release | : 1993-12-21 |
| Genre | : Technology & Engineering |
| ISBN | : 9780821870266 |
Download Asymptotic Methods in Mechanics Book in PDF, ePub and Kindle
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.
