Dynamic Stability And Bifurcation In Nonconservative Mechanics

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Dynamic Stability and Bifurcation in Nonconservative Mechanics

Author : Davide Bigoni
Publisher : Springer
ISBN 13 : 3319937227
Total Pages : 196 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Dynamic Stability and Bifurcation in Nonconservative Mechanics by : Davide Bigoni

Download or read book Dynamic Stability and Bifurcation in Nonconservative Mechanics written by Davide Bigoni and published by Springer. This book was released on 2018-07-09 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a unified view on classical results and recent advances in the dynamics of nonconservative systems. The theoretical fundamentals are presented systematically and include: Lagrangian and Hamiltonian formalism, non-holonomic constraints, Lyapunov stability theory, Krein theory of spectra of Hamiltonian systems and modes of negative and positive energy, anomalous Doppler effect, reversible systems, sensitivity analysis of non-self-adjoint operators, dissipation-induced instabilities, local and global instabilities. They are applied to engineering situations such as the coupled mode flutter of wings, flags and pipes, flutter in granular materials, piezoelectric mechanical metamaterials, wave dynamics of infinitely long structures, radiative damping, stability of high-speed trains, experimental realization of follower forces, soft-robot locomotion, wave energy converters, friction-induced instabilities, brake squeal, non-holonomic sailing, dynamics of moving continua, and stability of bicycles and walking robots. The book responds to a demand in the modern theory of nonconservative systems coming from the growing number of scientific and engineering disciplines including physics, fluid and solids mechanics, fluid-structure interactions, and modern multidisciplinary research areas such as biomechanics, micro- and nanomechanics, optomechanics, robotics, and material science. It is targeted at both young and experienced researchers and engineers working in fields associated with the dynamics of structures and materials. The book will help to get a comprehensive and systematic knowledge on the stability, bifurcations and dynamics of nonconservative systems and establish links between approaches and methods developed in different areas of mechanics and physics and modern applied mathematics.

Nonconservative Stability Problems of Modern Physics

Author : Oleg N. Kirillov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110655403
Total Pages : 548 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Nonconservative Stability Problems of Modern Physics by : Oleg N. Kirillov

Download or read book Nonconservative Stability Problems of Modern Physics written by Oleg N. Kirillov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-08 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Trends in Structural and Solid Mechanics 1

Author : Noel Challamel
Publisher : John Wiley & Sons
ISBN 13 : 1786307146
Total Pages : 306 pages
Book Rating : 4.7/5 (863 download)

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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.

Elements of Applied Bifurcation Theory

Author : Yuri Kuznetsov
Publisher : Springer Science & Business Media
ISBN 13 : 1475739788
Total Pages : 648 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Elements of Applied Bifurcation Theory by : Yuri Kuznetsov

Download or read book Elements of Applied Bifurcation Theory written by Yuri Kuznetsov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.

Stability and Bifurcation of Structures

Author : Angelo Luongo
Publisher : Springer Nature
ISBN 13 : 3031275721
Total Pages : 712 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Stability and Bifurcation of Structures by : Angelo Luongo

Download or read book Stability and Bifurcation of Structures written by Angelo Luongo and published by Springer Nature. This book was released on 2023-06-27 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book overcomes the separation existing in literature between the static and the dynamic bifurcation worlds. It brings together buckling and post-buckling problems with nonlinear dynamics, the bridge being represented by the perturbation method, i.e., a mathematical tool that allows for solving static and dynamic problems virtually in the same way. The book is organized as follows: Chapter one gives an overview; Chapter two illustrates phenomenological aspect of static and dynamic bifurcations; Chapter three deals with linear stability analysis of dynamical systems; Chapter four and five discuss the general theory and present examples of buckling and post-buckling of elastic structures; Chapter six describes a linearized approach to buckling, usually adopted in the technical literature, in which pre-critical deformations are neglected; Chapters seven to ten, analyze elastic and elasto-plastic buckling of planar systems of beams, thin-walled beams and plate assemblies, respectively; Chapters eleven to thirteen, illustrate dynamic instability phenomena, such as flutter induced by follower forces, aeroelastic bifurcations caused by wind flow, and parametric excitation triggered by pulsating loads. Finally, Chapter fourteen discusses a large gallery of solved problems, concerning topics covered in the book. An Appendix presents the Vlasov theory of open thin-walled beams. The book is devoted to advanced undergraduate and graduate students, as well as engineers and practitioners. The methods illustrated here are immediately applicable to model real problems. The Book Introduces, in a simple way, complex concepts of bifurcation theory, by making use of elementary mathematics Gives a comprehensive overview of bifurcation of linear and nonlinear structures, in static and dynamic fields Contains a chapter in which many problems are solved, either analytically or numerically, and results commented

Intermediate Dynamics for Engineers

Author : Oliver M. O'Reilly
Publisher : Cambridge University Press
ISBN 13 : 1108494218
Total Pages : 545 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Intermediate Dynamics for Engineers by : Oliver M. O'Reilly

Download or read book Intermediate Dynamics for Engineers written by Oliver M. O'Reilly and published by Cambridge University Press. This book was released on 2020-01-30 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fully updated second edition providing a systematic treatment of engineering dynamics that covers Newton-Euler and Lagrangian approaches. It includes two completely revised chapters, a 350-page solutions manual for instructors, and numerous structured examples and exercises, and is suitable for both senior-level and first-year graduate courses.

Recent Advances in Mechanics

Author : E.E. Gdoutos
Publisher : Springer Science & Business Media
ISBN 13 : 9400705573
Total Pages : 459 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Recent Advances in Mechanics by : E.E. Gdoutos

Download or read book Recent Advances in Mechanics written by E.E. Gdoutos and published by Springer Science & Business Media. This book was released on 2011-01-19 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 24 papers presented at the symposium on “Recent Advances in Mechanics” dedicated to the late Professor – Academician Pericles S. Theocaris in commemoration of the tenth anniversary of his death. The papers are written by world renowned and recognized experts in their fields and serve as a reference and guide for future research. The topics covered in the book can be divided into three major themes: Mathematical methods in applied mechanics (nine papers), experimental mechanics (nine papers) and fracture mechanics (six papers). Topics covered include: Application of reciprocity relations to laser-based ultrasonics, boundary value problems of the theory of elasticity, optimal design in contact mechanics, scaling of strength and lifetime distributions of quasibrittle structures, directional distortional hardening in plasticity, vibration of systems, instability phenomena in damped systems, variational methods for static and dynamic elasticity problems, an accelerated Newmark scheme for solving the equations of motion in the time domain, photoelastic tomography, electronic speckle pattern interferometry, composites exposed to fire, sampling moiré, microelecromechanical systems, experimental mechanics in nano-scale, advanced cement based nanocomposites, piezonuclear transmutations in brittle rocks under mechanical loading, stress triaxiality at crack tips studied by caustics, reinforcement of a cracked elastic plate with defects, some actual problems of fracture mechanics, cyclic plasticity with applications to extremely low cycle fatigue of structural steel, and fracture of a highly filled polymer composite.

Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials

Author : Marco Amabili
Publisher : Cambridge University Press
ISBN 13 : 1107129222
Total Pages : 585 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials by : Marco Amabili

Download or read book Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials written by Marco Amabili and published by Cambridge University Press. This book was released on 2018-11 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book guides the reader into the modelling of shell structures in applications where advanced composite materials or complex biological materials must be described with great accuracy. A valuable resource for researchers, professionals and graduate students, it presents a variety of practical concepts, diagrams and numerical results.

50+ Years of AIMETA

Author : Giuseppe Rega
Publisher : Springer Nature
ISBN 13 : 3030941957
Total Pages : 505 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis 50+ Years of AIMETA by : Giuseppe Rega

Download or read book 50+ Years of AIMETA written by Giuseppe Rega and published by Springer Nature. This book was released on 2022-06-04 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book retraces the history of the Italian Association of Theoretical and Applied Mechanics (AIMETA) since its establishment in 1965. AIMETA is the official Italian association of mechanics adhering to IUTAM (International Union of Theoretical and Applied Mechanics), which organizes and coordinates a meaningful number of research activities, the most important of which are the biennial National Congress and the internationally renowned journal “Meccanica”, published by Springer. Besides collecting and organizing all related important data and information, as far as possible, by distinguishing among the five scientific areas – general mechanics, solids, structures, fluids, machines – encompassed by AIMETA, the history of the association is assumed as a proper perspective to overview the evolution of theoretical and applied mechanics in Italy over about the last fifty years. This is accomplished in the first part of the book. with also a specific focus on the mechanics of solids and structures, where the biographies of a meaningful number of recognized Italian scholars of mechanics in all areas are also provided, along with testimonials and memories by a few senior people meaningfully involved with AIMETA and Italian mechanics. The second part gives an account, although unavoidably incomplete, of recent developments of mechanical sciences in Italy, as reflected also in the activities of AIMETA and with reference to the international context. Contributions by a number of invited senior scholars, still very active, consist of overviews on some scientific themes in the various areas, summaries of achievements of research groups, expressions of research viewpoints, prospects for future developments.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 628 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

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:

Fluid-Structure Interactions

Author : Michael P. Paidoussis
Publisher : Academic Press
ISBN 13 : 0123973139
Total Pages : 885 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Fluid-Structure Interactions by : Michael P. Paidoussis

Download or read book Fluid-Structure Interactions written by Michael P. Paidoussis and published by Academic Press. This book was released on 2013-12-07 with total page 885 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of two books concentrating on the dynamics of slender bodies within or containing axial flow, Fluid-Structure Interaction, Volume 1 covers the fundamentals and mechanisms giving rise to flow-induced vibration, with a particular focus on the challenges associated with pipes conveying fluid. This volume has been thoroughly updated to reference the latest developments in the field, with a continued emphasis on the understanding of dynamical behaviour and analytical methods needed to provide long-term solutions and validate the latest computational methods and codes. In this edition, Chapter 7 from Volume 2 has also been moved to Volume 1, meaning that Volume 1 now mainly treats the dynamics of systems subjected to internal flow, whereas in Volume 2 the axial flow is in most cases external to the flow or annular. - Provides an in-depth review of an extensive range of fluid-structure interaction topics, with detailed real-world examples and thorough referencing throughout for additional detail - Organized by structure and problem type, allowing you to dip into the sections that are relevant to the particular problem you are facing, with numerous appendices containing the equations relevant to specific problems - Supports development of long-term solutions by focusing on the fundamentals and mechanisms needed to understand underlying causes and operating conditions under which apparent solutions might not prove effective

Handbook Of Mechanical Stability In Engineering (In 3 Volumes)

Author : Vladimir I Slivker
Publisher : World Scientific
ISBN 13 : 9814397377
Total Pages : 1653 pages
Book Rating : 4.8/5 (143 download)

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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.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Ordinary Differential Equations and Mechanical Systems

Author : Jan Awrejcewicz
Publisher : Springer
ISBN 13 : 3319076590
Total Pages : 621 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Ordinary Differential Equations and Mechanical Systems by : Jan Awrejcewicz

Download or read book Ordinary Differential Equations and Mechanical Systems written by Jan Awrejcewicz and published by Springer. This book was released on 2014-09-17 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization. Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples and engineering intuition. The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering.

Novel Mathematics Inspired by Industrial Challenges

Author : Michael Günther
Publisher : Springer Nature
ISBN 13 : 3030961737
Total Pages : 348 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Novel Mathematics Inspired by Industrial Challenges by : Michael Günther

Download or read book Novel Mathematics Inspired by Industrial Challenges written by Michael Günther and published by Springer Nature. This book was released on 2022-03-30 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume convenes a rich selection of works with a focus on innovative mathematical methods with applications in real-world, industrial problems. Studies included in this book are all motivated by a relevant industrial challenge, and demonstrate that mathematics for industry can be extremely rewarding, leading to new mathematical methods and sometimes even to entirely new fields within mathematics. The book is organized into two parts: Computational Sciences and Engineering, and Data Analysis and Finance. In every chapter, readers will find a brief description of why such work fits into this volume; an explanation on which industrial challenges have been instrumental for their inspiration; and which methods have been developed as a result. All these contribute to a greater unity of the text, benefiting not only practitioners and professionals seeking information on novel techniques but also graduate students in applied mathematics, engineering, and related fields.

Multiple Parameter Stability Theory and Its Applications

Author : Koncay Huseyin
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Multiple Parameter Stability Theory and Its Applications by : Koncay Huseyin

Download or read book Multiple Parameter Stability Theory and Its Applications written by Koncay Huseyin and published by Oxford University Press, USA. This book was released on 1986 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written from an original, engineering point of view, this volume presents a general nonlinear theory concerning the stability, instability, bifurcation, and oscillatory behavior of autonomous systems. Huseyin stresses analytical procedures which lead to construction of asymptotic solutions. He analyzes various bifurcation phenomena and the associated imperfection-sensitivities via the multiple-parameter perturbation technique, a method which generates distinct forms of equilibrium surfaces linked to "elementary catastrophes." In addition, he introduces an intrinsic harmonic balancing technique to analyze the dynamic bifurcations, resulting in a unified treatment of both static and dynamic bifurcation phenomena within an autonomous framework. Throughout the work, the presentation is conceptually simple and practical.

Fundamentals of Structural Stability

Author : George Simitses
Publisher : Elsevier
ISBN 13 : 0080507050
Total Pages : 402 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Fundamentals of Structural Stability by : George Simitses

Download or read book Fundamentals of Structural Stability written by George Simitses and published by Elsevier. This book was released on 2006-01-27 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ability of a structural assembly to carry loads and forces determines how stable it will be over time. Viewing structural assemblages as comprising columns, beams, arches, rings, and plates, this book will introduce the student to both a classical and advanced understanding of the mechanical behavior of such structural systems under load and how modeling the resulting strains can predict the overall future performance—the stability—of that structure. While covering traditional beam theory, the book is more focused on elastica theory in keeping with modern approaches. This text will be an expanded and updated version a similar, previously published book, but with pedagogical improvements and updated analytical methods.This engineering textbook will provide a focused treatment on the study of how structures behave and perform when under stress loading, including plastic deformation and buckling. All advanced engineering students studying engineering mechanics, structural analysis and design, fatigue and failure, and other related subjects need to have this knowledge, and this book will provide it in a thorough and coherent fashion. Written by two of the world's leading engineering professors in this subject area, the pedagogy has been classroom-tested over many years and should find a receptive readership among both students and instructors. - An understandable introduction to the theory of structural stability, useful for a wide variety of engineering disciplines, including mechanical, civil and aerospace engineering - Covers both static and dynamic loads, for both conservative and nonconservative systems - Emphasizes elastic behavior under loads, including vertical buckling, torsional buckling and nonlinear affects of structural system buckling and stability - Case examples to illustrate real-world applications of Stability Theory