Nonconservative Problems of the Theory of Elastic Stability PDF Download
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Author: Vladimir Vasilʹevich Bolotin
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 336
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Book Description
Author: Vladimir Vasilʹevich Bolotin
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 336
Get Book Here
Book Description
Author: Vladimir Vasil'evich Bolotin
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 324
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Book Description
Author: V. V. Bolotin
Publisher: Pergamon
ISBN: 9780080104904
Category : Aeroelasticity
Languages : en
Pages : 324
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Book Description
Author: Teodor M. Atanackovic
Publisher: World Scientific
ISBN: 9810230540
Category : Technology & Engineering
Languages : en
Pages : 441
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Book Description
This book treats stability problems of equilibrium states of elastic rods. Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems. Some problems are treated by all three methods. Many generalized versions of known problems are presented (heavy vertical rod, rotating rod, Greenhill's problem, Beck's column, Pflger's rod, strongest column, etc.). The generalizations consist in using either a generalized form of constitutive equations or a more general form of loading, or both. Special attention is paid to the influence of shear stresses and axis compressibility on the value of the critical load. Variational methods are applied to obtain estimates of the critical load and maximal deflection in the post-critical state, in a selected number of examples.
Author: George Simitses
Publisher: Butterworth-Heinemann
ISBN: 0750678755
Category : Science
Languages : en
Pages : 403
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Book Description
An understanable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace.
Author: K. Huseyin
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 252
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Book Description
Author: N.A. Alfutov
Publisher: Springer Science & Business Media
ISBN: 3540490981
Category : Science
Languages : en
Pages : 344
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Book Description
The subject discussed in this book is the stability of thin-walled elastic systems under static loads. The presentation of these problems is based on modern approaches to elastic-stability theory. Special attention is paid to the formulation of elastic-stability criteria, to the statement of column, plate and shell stability problems, to the derivation of basic relationships, and to a discussion of the boundaries of the application of analytic relationships. The author has tried to avoid arcane, nonstandard problems and elaborate and unexpected solutions, which bring real pleasure to connoisseurs, but confuse students and cause bewilderment to some practical engineers. The author has an apprehension that problems which, though interesting, are limited in application can divert the reader's attention from the more prosaic but no less sophisticated general problems of stability theory.
Author: Oleg N. Kirillov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110655403
Category : Science
Languages : en
Pages : 548
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Book Description
This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.
Author: David R. Merkin
Publisher: Springer Science & Business Media
ISBN: 1461240468
Category : Mathematics
Languages : en
Pages : 334
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Book Description
Many books on stability theory of motion have been published in various lan guages, including English. Most of these are comprehensive monographs, with each one devoted to a separate complicated issue of the theory. Generally, the examples included in such books are very interesting from the point of view of mathematics, without necessarily having much practical value. Usually, they are written using complicated mathematical language, so that except in rare cases, their content becomes incomprehensible to engineers, researchers, students, and sometimes even to professors at technical universities. The present book deals only with those issues of stability of motion that most often are encountered in the solution of scientific and technical problems. This allows the author to explain the theory in a simple but rigorous manner without going into minute details that would be of interest only to specialists. Also, using appropriate examples, he demonstrates the process of investigating the stability of motion from the formulation of a problem and obtaining the differential equations of perturbed motion to complete analysis and recommendations. About one fourth of the examples are from various areas of science and technology. Moreover, some of the examples and the problems have an independent value in that they could be applicable to the design of various mechanisms and devices. The present translation is based on the third Russian edition of 1987.
Author: Stuart Antman
Publisher: Springer Science & Business Media
ISBN: 0387276491
Category : Mathematics
Languages : en
Pages : 845
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Book Description
Enlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear material response. Opening chapters discuss strings, rods, and shells, and applications of bifurcation theory and the calculus of variations to problems for these bodies. Subsequent chapters cover tensors, three-dimensional continuum mechanics, three-dimensional elasticity , general theories of rods and shells, and dynamical problems. Each chapter includes interesting, challenging, and tractable exercises.
