Stability Problems in Applied Mechanics
Stability Problems in Applied Mechanics

Author: Asok Kumar Mallik

Publisher: Alpha Science Int'l Ltd.

Published: 2005

Total Pages: 138

ISBN-13: 9781842653098

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"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.

Handbook of Mechanical Stability in Engineering
Handbook of Mechanical Stability in Engineering

Author: Vladimir Isaevich Slivker

Publisher: World Scientific

Published: 2013

Total Pages: 1653

ISBN-13: 9814383767

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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.

Advanced Stress and Stability Analysis
Advanced Stress and Stability Analysis

Author: V.I. Feodosiev

Publisher: Springer Science & Business Media

Published: 2005-04-13

Total Pages: 436

ISBN-13: 9783540239352

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This book is a collection of problems for advanced students in the area of Strength of Materials. It draws the reader ́s attention also to problems that are often overlooked and answers questions that are far beyond a training course and require more fundamental understanding. All problems are provided with detailed solutions to enable the reader to either learn about the problem-solving process or just to check his/her own way of solution. The research and educational Work of V.I. Feodosiev was carried out in the Bauman Moscow State technical University where he held the course on Strength of Materials for 50 years. Deep insight into engineering problems, clearness of concepts and elegance of solutions accompanied by pedagogical talent are the main features of his style.

Multiparameter Stability Theory with Mechanical Applications
Multiparameter Stability Theory with Mechanical Applications

Author: Alexander P. Seyranian

Publisher: World Scientific

Published: 2003

Total Pages: 421

ISBN-13: 9812384065

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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.

Modern Problems of Structural Stability
Modern Problems of Structural Stability

Author: Alexander P. Seyranian

Publisher: Springer

Published: 2014-05-04

Total Pages: 398

ISBN-13: 370912560X

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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.

Stability and Convergence of Mechanical Systems with Unilateral Constraints
Stability and Convergence of Mechanical Systems with Unilateral Constraints

Author: Remco I. Leine

Publisher: Springer Science & Business Media

Published: 2007-12-29

Total Pages: 241

ISBN-13: 3540769757

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While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book will be of interest to those working in the field of non-smooth mechanics and dynamics.

Nonlinear Vibrations and Stability of Shells and Plates
Nonlinear Vibrations and Stability of Shells and Plates

Author: Marco Amabili

Publisher: Cambridge University Press

Published: 2008-01-14

Total Pages: 391

ISBN-13: 1139469029

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This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.

Contemporary Problems of Architecture and Construction
Contemporary Problems of Architecture and Construction

Author: Evgeny Rybnov

Publisher: CRC Press

Published: 2021-03-09

Total Pages: 842

ISBN-13: 1000393720

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Contemporary Problems of Architecture and Construction 2020 includes contributions on various complex issues and aspects of engineering and construction of buildings and structures, protection, reconstruction and restoration of architecture, as well as intellectualization of energy and safety systems functioning urban development. The contributions were presented at the eponymous conference (ICCPAC 2020, St Petersburg, Russia, November 25-26, 2020), and cover a wide range of topics: Urban development: problems of urban construction and architecture Engineering, construction and operation of buildings and structures Implementation of building information modeling (BIM) and geo-information systems (GIS) technologies in the construction industry Energy efficiency of buildings and maintenance systems Engineering technologies of sustainable nature management and environmental protection Intellectualization and algorithmization of large cities road safety systems functioning Economics and management in construction and public utility services. Contemporary Problems of Architecture and Construction 2020 will be of interest to academics and professionals involved in the urban development, engineering technologies, architecture and construction, economics and management in construction industry.

Smooth Particle Applied Mechanics: The State Of The Art
Smooth Particle Applied Mechanics: The State Of The Art

Author: William Graham Hoover

Publisher: World Scientific

Published: 2006-11-02

Total Pages: 315

ISBN-13: 9814477184

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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.