Stability Of Elastic Structures By Use Of Catastrophe Theory
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Author | : P. Hilton |
Publisher | : Springer |
Total Pages | : 415 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540382542 |
This is a progress report on an experimental program, begun a year ago, in the exploration of resonant furcations (= catastrophes) by analog simulation and direct observation - the macroscope program.
Author | : Lajos Kollar |
Publisher | : CRC Press |
Total Pages | : 467 |
Release | : 2003-09-01 |
Genre | : Architecture |
ISBN | : 020301779X |
Structural Stability in Engineering Practice elucidates the various problems associated with attaining stability, and provides the results for practical use by the design engineer. By presenting a simple and visual description of the physical phenomena, the authors show how to determine the critical loads of various structures, such as frames, arches, building structures, trusses and sandwiches. Special emphasis is given to the post-critical behaviour - essential for assessing the safety of structures - and furthermore to the summation theories that make the solution of complicated stability problems relatively simple.
Author | : Z. P. Ba?ant |
Publisher | : World Scientific |
Total Pages | : 1039 |
Release | : 2010 |
Genre | : Technology & Engineering |
ISBN | : 9814317020 |
A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering. This text of unparalleled scope presents a comprehensive exposition of the principles and applications of stability analysis. It has been proven as a text for introductory courses and various advanced courses for graduate students. It is also prized as an exhaustive reference for engineers and researchers. The authors' focus on understanding of the basic principles rather than excessive detailed solutions, and their treatment of each subject proceed from simple examples to general concepts and rigorous formulations. All the results are derived using as simple mathematics as possible. Numerous examples are given and 700 exercise problems help in attaining a firm grasp of this central aspect of solid mechanics. The book is an unabridged republication of the 1991 edition by Oxford University Press and the 2003 edition by Dover, updated with 18 pages of end notes.
Author | : Zdenek P Bazant |
Publisher | : World Scientific |
Total Pages | : 1039 |
Release | : 2010-08-16 |
Genre | : Technology & Engineering |
ISBN | : 9814464481 |
A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering. This text of unparalleled scope presents a comprehensive exposition of the principles and applications of stability analysis. It has been proven as a text for introductory courses and various advanced courses for graduate students. It is also prized as an exhaustive reference for engineers and researchers.The authors' focus on understanding of the basic principles rather than excessive detailed solutions, and their treatment of each subject proceed from simple examples to general concepts and rigorous formulations. All the results are derived using as simple mathematics as possible. Numerous examples are given and 700 exercise problems help in attaining a firm grasp of this central aspect of solid mechanics.The book is an unabridged republication of the 1991 edition by Oxford University Press and the 2003 edition by Dover, updated with 18 pages of end notes.
Author | : Tim Poston |
Publisher | : Courier Corporation |
Total Pages | : 514 |
Release | : 2014-05-05 |
Genre | : Mathematics |
ISBN | : 0486143783 |
First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.
Author | : Mario Como |
Publisher | : Routledge |
Total Pages | : 272 |
Release | : 2022-01-27 |
Genre | : Mathematics |
ISBN | : 1351408534 |
Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers.
Author | : Antoni Gajewski |
Publisher | : Springer Science & Business Media |
Total Pages | : 480 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400927541 |
The first optimal design problem for an elastic column subject to buckling was formulated by Lagrange over 200 years ago. However, rapid development of structural optimization under stability constraints occurred only in the last twenty years. In numerous optimal structural design problems the stability phenomenon becomes one of the most important factors, particularly for slender and thin-walled elements of aerospace structures, ships, precision machines, tall buildings etc. In engineering practice stability constraints appear more often than it might be expected; even when designing a simple beam of constant width and variable depth, the width - if regarded as a design variable - is finally determined by a stability constraint (lateral stability). Mathematically, optimal structural design under stability constraints usually leads to optimization with respect to eigenvalues, but some cases fall even beyond this type of problems. A total of over 70 books has been devoted to structural optimization as yet, but none of them has treated stability constraints in a sufficiently broad and comprehensive manner. The purpose of the present book is to fill this gap. The contents include a discussion of the basic structural stability and structural optimization problems and the pertinent solution methods, followed by a systematic review of solutions obtained for columns, arches, bar systems, plates, shells and thin-walled bars. A unified approach based on Pontryagin's maximum principle is employed inasmuch as possible, at least to problems of columns, arches and plates. Parametric optimization is discussed as well.
Author | : Vladimir Isaevich Slivker |
Publisher | : World Scientific |
Total Pages | : 1653 |
Release | : 2013 |
Genre | : Technology & Engineering |
ISBN | : 9814383767 |
Handbook of Mechanical Stability in Engineering (In 3 Volumes) is a systematic presentation of mathematical statements and methods of solution for problems of structural stability. It also presents a connection between the solutions of the problems and the actual design practice.This comprehensive multi-volume set with applications in Applied Mechanics, Structural, Civil and Mechanical Engineering and Applied Mathematics is useful for research engineers and developers of CAD/CAE software who investigate the stability of equilibrium of mechanical systems; practical engineers who use the software tools in their daily work and are interested in knowing more about the theoretical foundations of the strength analysis; and for advanced students and faculty of university departments where strength-related subjects of civil and mechanical engineering are taught.
Author | : Dinar Camotim |
Publisher | : World Scientific |
Total Pages | : 752 |
Release | : 2000 |
Genre | : Technology & Engineering |
ISBN | : 9781860942525 |
The subject of coupled instabilities is a fascinating field of research with a wide range of practical applications, particularly in the analysis and design of metal structures. Despite the excellent body of existing results concerning coupled instability structural behaviour, this situation has not yet been adequately translated into design rules or specifications. In fact, only to a small extent do modern design codes for metal structures take advantage of the significant progress made in the field. This book, which contains all the invited general reports and selected papers presented at the Third International Conference on "Coupled Instabilities in Metal Structures". (CIMS '2000), should provide a meaningful contribution towards filling the gap between research and practice.
Author | : Kotik K. Lee |
Publisher | : World Scientific |
Total Pages | : 476 |
Release | : 1992 |
Genre | : Science |
ISBN | : 9789971509651 |
The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems.