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Stability Problems In Applied Mechanics
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Book Synopsis Stability Problems in Applied Mechanics by : Asok Kumar Mallik
Download or read book Stability Problems in Applied Mechanics written by Asok Kumar Mallik and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Stability Problems in Applied Mechanics starts with the stability problems in statics. The example of buckling of columns is studed through Euler method followed by the Energy method, based on Lagrange-Dirichlet theorem. Snap buckling, instability of shape, buckling due to follower load are also discussed. Insufficiency of static analysis for instability is clearly brought out and buckling problems are revisited from the point of view of dynamics. The theory of Dynamical System and the foundations of bifurcation theory and Floquet theory are developed and used to revisit the stability problems in the light of these unified mathematical concepts. This mathematical basis is then applied to investigate the stability problems encountered in dynamics of particle, rigid and flexible bodies. Finally the emergence of length scale and pattern formation as a consequence of instability in fluid, thermal and diffusion systems are discussed through a number of real-life problems. Different notions of stability and the analysis of nonlinear states are briefly included in two appendices."--BOOK JACKET.
Book Synopsis Stability Problems In Applied Mechanics by : A. K. Mallik
Download or read book Stability Problems In Applied Mechanics written by A. K. Mallik and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook Of Mechanical Stability In Engineering (In 3 Volumes) by : Vladimir I Slivker
Download or read book Handbook Of Mechanical Stability In Engineering (In 3 Volumes) written by Vladimir I Slivker and published by World Scientific. This book was released on 2013-03-25 with total page 1653 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Advanced Stress and Stability Analysis by : V.I. Feodosiev
Download or read book Advanced Stress and Stability Analysis written by V.I. Feodosiev and published by Springer Science & Business Media. This book was released on 2005-09-28 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems and exercises in Strength and Stability that exceed the bounds of the ordinary university course in complexity and their statement are considered. The advanced problems liberalizing the readers and all- ing to see the connection of the Strength of Materials with some adjacent courses are collected in this book. All the problems and exercises are - compained with the detailed solutions. The set of new problems connected with the development of computer methods and with the application of composite materials in engineering are introduced in this publication. Author: Vsevolod I. Feodosiev Bauman Moscow State Technical University 2-nd Baumanskaya st. 5 105005 Moscow Russian Federation Translators: Sergey A. Voronov Sergey V. Yaresko Department of Applied Mechanics Bauman Moscow State Technical University 2-nd Baumanskaya st. 5 105005 Moscow Russian Federation E-mail: voronov@rk5. bmstu. ru Contents Part I. Problems and Questions 1. Tension, Compression and Torsion :::::::::::::::::::::::: 3 2. Cross-Section Geometry Characteristics: Bending::::::::: 17 3. Complex Stress State, Strength Criteria, Anisotropy ::::: 33 4. Stability :::::::::::::::::::::::::::::::::::::::::::::::::: 41 5. Various Questions and Problems :::::::::::::::::::::::::: 63 Part II. Answers and Solutions 1. Tension, Compression and Torsion :::::::::::::::::::::::: 81 2. Cross-Section Geometry Characteristics. Bending::::::::: 127 3. Complex Stress State, Strength Criteria, Anisotropy ::::: 195 4. Stability :::::::::::::::::::::::::::::::::::::::::::::::::: 219 5. Various Questions and Problems :::::::::::::::::::::::::: 359 References :::::::::::::::::::::::::::::::::::::::::::::::::::: 415 Preface This is a book, written by the famous late Russian engineer and educator Vsevolod I.
Book Synopsis Rational and Applied Mechanics by : Nikolai Nikolaevich Polyakhov
Download or read book Rational and Applied Mechanics written by Nikolai Nikolaevich Polyakhov and published by Springer Nature. This book was released on 2021-12-02 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). Among the special applications addressed in this second volume are: stability of motion, nonlinear oscillations, dynamics and statics of the Stewart platform, mechanics under random forces, elements of control theory, relations between nonholonomic mechanics and the control theory, vibration and autobalancing of rotor systems, physical theory of impact, statics and dynamics of a thin rod. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.
Book Synopsis Modern Trends in Structural and Solid Mechanics 1 by : Noel Challamel
Download or read book Modern Trends in Structural and Solid Mechanics 1 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 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 first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Book Synopsis Instability of Continuous Systems by : Horst Leipholz
Download or read book Instability of Continuous Systems written by Horst Leipholz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until recently there was no uniform stability theory. Different approaches to stability problems had been developed in the different branches of mechanics. In the field of elasticity, it was mainly the so called static method and energy method which were used, while in the field of dynamics it was the kinetic method, which found its perfect expression in the theory of Liapunov. During the last few decades there has been a rapid development in the general theory of stability, stimulated, for example, by the investigations of H. ZIEGLER on elastic systems subject to non-conservative loads, and by the problems arising in aeroelasticity which are closely related to those introduced by ZIEGLER. The need was felt for kinetic methods which could also be used in investigating the stability of deformable systems. Efforts were made to adapt such methods, already known and developed in the stability theory of rigid systems, for application in the stability theory of continuous systems. During the last ten years interest was focused mainly on the application of a generalized Liapunov method to stability problems of continuous systems. All this was done in attempts to unify the various approaches to stability theory. It was with the idea of encouraging such a tendency, establishing to what extent a uniform physical and mathematical foundation already existed for stability theory in all branches of mechanics, and stimulating the further deve lopment of a common stability theory, that a IUTAM-Symposium was devoted to this topic.
Book Synopsis Stability of Structures by Finite Element Methods by : Z. Waszczyszyn
Download or read book Stability of Structures by Finite Element Methods written by Z. Waszczyszyn and published by Elsevier. This book was released on 2013-10-22 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the consequence of research undertaken by the authors in the field of advanced problems of structural mechanics. Stability analysis of structures comes under this area because of the complex models and computational methods needed for analysis. In the mid seventies, a joint effort began between a group of researchers and teachers of the Department of Civil Engineering and Computer Center of the Cracow University of Technology. One of the important results of the collaboration has been this publication.
Book Synopsis Eigenvalue and Eigenvector Problems in Applied Mechanics by : Sorin Vlase
Download or read book Eigenvalue and Eigenvector Problems in Applied Mechanics written by Sorin Vlase and published by Springer. This book was released on 2018-10-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications.
Book Synopsis Multiparameter Stability Theory with Mechanical Applications by : Alexander P. Seyranian
Download or read book Multiparameter Stability Theory with Mechanical Applications written by Alexander P. Seyranian and published by World Scientific. This book was released on 2003 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects of nonconservative stability problems, analysis of singularities of boundaries for the stability domains, stability analysis of multiparameter linear periodic systems, and optimization of structures under stability constraints. Systems with finite degrees of freedom and with continuous models are both considered. The book combines mathematical foundation with interesting classical and modern mechanical problems.A number of mechanical problems illustrating how bifurcations and singularities change the behavior of systems and lead to new physical phenomena are discussed. Among these problems, the authors consider systems of rotating bodies, tubes conveying fluid, elastic columns under the action of periodic and follower forces, optimization problems for conservative systems, etc. The methods presented are constructive and easy to implement in computer programs.This book is addressed to graduate students, academics, researchers, and practitioners in aerospace, naval, civil, and mechanical engineering. No special background is needed; just a basic knowledge of mathematics and mechanics.
Book Synopsis Stability of Discrete Non-conservative Systems by : Jean Lerbet
Download or read book Stability of Discrete Non-conservative Systems written by Jean Lerbet and published by ISTE Press - Elsevier. This book was released on 2020-11-30 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Discrete Non-conservative Systems first exposes the general concepts and results concerning stability issues. It then presents an approach of stability that is different from Lyapunov which leads to the second order work criterion. Thanks to the new concept of Kinematic Structural Stability, a complete equivalence between two approaches of stability is obtained for a divergent type of stability. Extensions to flutter instability, to continuous systems, and to the dual questions concerning the measure of non-conservativeness provides a full, fresh look at these fundamental questions. A special chapter is devoted to applications for granular systems. Presents a structured review on stability questions Provides analytical methods and key concepts that may be used in non-conservative frameworks like hypoelasticity
Book Synopsis Resolution Of The Twentieth Century Conundrum In Elastic Stability by : Isaac E Elishakoff
Download or read book Resolution Of The Twentieth Century Conundrum In Elastic Stability written by Isaac E Elishakoff and published by World Scientific. This book was released on 2014-05-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been stability theories developed for beams, plates and shells — the most significant elements in mechanical, aerospace, ocean and marine engineering. For beams and plates, the theoretical and experimental values of buckling loads are in close vicinity. However for thin shells, the experimental predictions do not conform with the theory, due to presence of small geometric imperfections that are deviations from the ideal shape.This fact has been referred to in the literature as ‘embarrassing’, ‘paradoxical’ and ‘perplexing’. Indeed, the popular adage, “In theory there is no difference between theory and practice. In practice there is”, very much applies to thin shells whose experimental buckling loads may constitute a small fraction of the theoretical prediction based on classical linear theory; because in practice, engineers use knockdown factors that are not theoretically substantiated.This book presents a uniform approach that tames this prima-donna-like and capricious behavior of structures that has been dubbed the ‘imperfection sensitivity’ — thus resolving the conundrum that has occupied the best minds of elastic stability throughout the twentieth century.
Book Synopsis Bounds in Nonconservative Problems of Elastic Stability by : Shyam N. Prasad
Download or read book Bounds in Nonconservative Problems of Elastic Stability written by Shyam N. Prasad and published by . This book was released on 1972 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Synge's method based on the isoperimetric inequality is generalized to study panel flutter and Beck's problem with viscous damping forces. Conditions for stability are derived and also estimates of amplification rates and frequencies of oscillations. Further insight is gained into the destabilizing effect of viscous damping in nonconservative elastic systems. (Author).
Book Synopsis Smooth Particle Applied Mechanics: The State Of The Art by : William Graham Hoover
Download or read book Smooth Particle Applied Mechanics: The State Of The Art written by William Graham Hoover and published by World Scientific. This book was released on 2006-11-02 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects.The book is self-contained, with summaries of classical particle mechanics and continuum mechanics for both fluids and solids, computer languages, the stability of numerical methods, Lyapunov spectra, and message-passing parallel computing. The main difficulties faced by meshless particle methods are discussed and the means of overcoming them are illustrated with worked examples.
Book Synopsis Stability in the Mechanics of Continua by : F.H. Schroeder
Download or read book Stability in the Mechanics of Continua written by F.H. Schroeder and published by Springer. This book was released on 1982 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1969 scientists came together for the first time to discuss problems of instability of continuous systems on a IUTAM - Symposium. Since then twelve years of a fast and interesting development in the field of stability have passed. Therefore it was necessary to arrange a meeting for scientists again in order to exchange experiences and opinions about this topic. In 1978 the Bureau of IUTAM asked me to become chairman of the scientific committee of the Second IUTAM Symposium on Stability in the Mechanics of Continua and to organize this meeting. The following scientists have been appointed as members of this scientific committee: Prof. T. B. Benjamin University of Oxford, Mathematical Institute Oxford, GB Prof. V. V. Bolotin USSR Academy of Science, Mechanical Engineering Research Institute, Moscow, USSR Prof. J. W. Hutchinson Harvard University, Division of Applied Sciences Cambridge, USA Prof. K. Kirchgassner Universitat Stuttgart, Mathematisches Institut A Stuttgart, FRG Prof. A. Kulikovsky Mechanics National Committee Moscow, USSR VI Prof. H. H. E. Leipholz University of Waterloo, Department of Civil Engineering Waterloo, Canada Prof. R. C. Di Prima Rensselaer Poly technical Institute, Department of Mathematical Science, Troy, USA The symposium took place in Nlimbrecht near Cologne from th th August the 31 to September the 4 , 1981 and it dealt with both solid and fluid continua. The following volume contains the lectures in the succession as they were held during the symposium, devided into two parts: 1.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modern Problems of Structural Stability by : Alexander P. Seyranian
Download or read book Modern Problems of Structural Stability written by Alexander P. Seyranian and published by Springer. This book was released on 2014-05-04 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of structures is one of the most important and interesting fields in mechanics. This book is dedicated to fundamental concepts, problems and methods of structural stability along with qualitative understanding of instability phenomena. The methods presented are constructive and easy to implement in computer programs. Recent exciting experiments on dynamic stability of non-conservative systems are described and shown by many photographs.
