Dynamics and Stability of Mechanical Systems with Follower Forces

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Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Dynamics and Stability of Mechanical Systems with Follower Forces by : George Herrmann

Download or read book Dynamics and Stability of Mechanical Systems with Follower Forces written by George Herrmann and published by . This book was released on 1971 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics and Stability of Mechanical Systems with Follower Forces

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Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Dynamics and Stability of Mechanical Systems with Follower Forces by : George Herrmann

Download or read book Dynamics and Stability of Mechanical Systems with Follower Forces written by George Herrmann and published by . This book was released on 1971 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamics of Mechanical Systems

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Publisher : CRC Press
ISBN 13 : 1420041924
Total Pages : 777 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Dynamics of Mechanical Systems by : Harold Josephs

Download or read book Dynamics of Mechanical Systems written by Harold Josephs and published by CRC Press. This book was released on 2002-06-19 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanical systems are becoming increasingly sophisticated and continually require greater precision, improved reliability, and extended life. To meet the demand for advanced mechanisms and systems, present and future engineers must understand not only the fundamental mechanical components, but also the principles of vibrations, stability, and bala

Stability and Convergence of Mechanical Systems with Unilateral Constraints

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Publisher : Springer Science & Business Media
ISBN 13 : 3540769757
Total Pages : 241 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Stability and Convergence of Mechanical Systems with Unilateral Constraints by : Remco I. Leine

Download or read book Stability and Convergence of Mechanical Systems with Unilateral Constraints written by Remco I. Leine and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multiparameter Stability Theory with Mechanical Applications

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Publisher : World Scientific
ISBN 13 : 9812384065
Total Pages : 421 pages
Book Rating : 4.8/5 (123 download)

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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.

Dynamic Stability and Bifurcation in Nonconservative Mechanics

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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.

Dynamic Stability of Suddenly Loaded Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 1461232449
Total Pages : 295 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Dynamic Stability of Suddenly Loaded Structures by : George J. Simitses

Download or read book Dynamic Stability of Suddenly Loaded Structures written by George J. Simitses and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic instability or dynamic buckling as applied to structures is a term that has been used to describe many classes of problems and many physical phenomena. It is not surprising, then, that the term finds several uses and interpretations among structural mechanicians. Problems of parametric resonance, follower-force, whirling of rotating shafts, fluid-solid interaction, general response of structures to dynamic loads, and several others are all classified under dynamic instability. Many analytical and experimental studies of such problems can be found in several books as either specialized topics or the main theme. Two such classes, parametric resonance and stability of nonconservative systems under static loads (follower-force problems), form the main theme of two books by V. V. Bolotin, which have been translated from Russian. Moreover, treatment of aero elastic instabilities can be found in several textbooks. Finally, analytical and experimental studies of structural elements and systems subjected to intense loads (of very short duration) are the focus of the recent monograph by Lindberg and Florence. The first chapter attempts to classify the various "dynamic instability" phenomena by taking into consideration the nature of the cause, the character of the response, and the history of the problem. Moreover, the various concepts and methodologies as developed and used by the various investigators for estimating critical conditions for suddenly loaded elastic systems are fully described. Chapter 2 demonstrates the concepts and criteria for dynamic stability through simple mechanical models with one and two degrees of freedom.

Dynamic Stability of Columns under Nonconservative Forces

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Publisher : Springer
ISBN 13 : 3030005720
Total Pages : 236 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Dynamic Stability of Columns under Nonconservative Forces by : Yoshihiko Sugiyama

Download or read book Dynamic Stability of Columns under Nonconservative Forces written by Yoshihiko Sugiyama and published by Springer. This book was released on 2019-02-05 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats dynamic stability of structures under nonconservative forces. it is not a mathematics-based, but rather a dynamics-phenomena-oriented monograph, written with a full experimental background. Starting with fundamentals on stability of columns under nonconservative forces, it then deals with the divergence of Euler’s column under a dead (conservative) loading from a view point of dynamic stability. Three experiments with cantilevered columns under a rocket-based follower force are described to present the verifiability of nonconservative problems of structural stability. Dynamic stability of columns under pulsating forces is discussed through analog experiments, and by analytical and experimental procedures together with related theories. Throughout the volume the authors retain a good balance between theory and experiments on dynamic stability of columns under nonconservative loading, offering a new window to dynamic stability of structures, promoting student- and scientist-friendly experiments.

Stability and Convergence of Mechanical Systems with Unilateral Constraints

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Publisher : Springer
ISBN 13 : 9783540846208
Total Pages : 236 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Stability and Convergence of Mechanical Systems with Unilateral Constraints by : Remco Leine

Download or read book Stability and Convergence of Mechanical Systems with Unilateral Constraints written by Remco Leine and published by Springer. This book was released on 2009-09-02 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear and Nonlinear Instabilities in Mechanical Systems

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Publisher : John Wiley & Sons
ISBN 13 : 1119066530
Total Pages : 324 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Linear and Nonlinear Instabilities in Mechanical Systems by : Hiroshi Yabuno

Download or read book Linear and Nonlinear Instabilities in Mechanical Systems written by Hiroshi Yabuno and published by John Wiley & Sons. This book was released on 2021-02-16 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: LINEAR and NONLINEAR INSTABILITIES in MECHANICAL SYSTEMS An in-depth insight into nonlinear analysis and control As mechanical systems become lighter, faster, and more flexible, various nonlinear instability phenomena can occur in practical systems. The fundamental knowledge of nonlinear analysis and control is essential to engineers for analysing and controlling nonlinear instability phenomena. This book bridges the gap between the mathematical expressions of nonlinear dynamics and the corresponding practical phenomena. Linear and Nonlinear Instabilities in Mechanical Systems: Analysis, Control and Application provides a detailed and informed insight into the fundamental methods for analysis and control for nonlinear instabilities from the practical point of view. Key features: Refers to the behaviours of practical mechanical systems such as aircraft, railway vehicle, robot manipulator, micro/nano sensor Enhances the rigorous and practical understanding of mathematical methods from an engineering point of view The theoretical results obtained by nonlinear analysis are interpreted by using accompanying videos on the real nonlinear behaviors of nonlinear mechanical systems Linear and Nonlinear Instabilities in Mechanical Systems is an essential textbook for students on engineering courses, and can also be used for self-study or reference by engineers.

Dynamics of Controlled Mechanical Systems with Delayed Feedback

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Publisher : Springer Science & Business Media
ISBN 13 : 3662050307
Total Pages : 303 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Dynamics of Controlled Mechanical Systems with Delayed Feedback by : H.Y. Hu

Download or read book Dynamics of Controlled Mechanical Systems with Delayed Feedback written by H.Y. Hu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have witnessed a rapid development of active control of various mechanical systems. With increasingly strict requirements for control speed and system performance, the unavoidable time delays in both controllers and actuators have become a serious problem. For instance, all digital controllers, analogue anti aliasing and reconstruction filters exhibit a certain time delay during operation, and the hydraulic actuators and human being interaction usually show even more significant time delays. These time delays, albeit very short in most cases, often deteriorate the control performance or even cause the instability of the system, be cause the actuators may feed energy at the moment when the system does not need it. Thus, the effect of time delays on the system performance has drawn much at tention in the design of robots, active vehicle suspensions, active tendons for tall buildings, as well as the controlled vibro-impact systems. On the other hand, the properly designed delay control may improve the performance of dynamic sys tems. For instance, the delayed state feedback has found its applications to the design of dynamic absorbers, the linearization of nonlinear systems, the control of chaotic oscillators, etc. Most controlled mechanical systems with time delays can be modeled as the dynamic systems described by a set of ordinary differential equations with time delays.

Dynamics of Mechanical Systems with Variable Mass

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Publisher : Springer
ISBN 13 : 3709118093
Total Pages : 277 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Dynamics of Mechanical Systems with Variable Mass by : Hans Irschik

Download or read book Dynamics of Mechanical Systems with Variable Mass written by Hans Irschik and published by Springer. This book was released on 2014-10-16 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents up-to-date and unifying formulations for treating dynamics of different types of mechanical systems with variable mass. The starting point is overview of the continuum mechanics relations of balance and jump for open systems from which extended Lagrange and Hamiltonian formulations are derived. Corresponding approaches are stated at the level of analytical mechanics with emphasis on systems with a position-dependent mass and at the level of structural mechanics. Special emphasis is laid upon axially moving structures like belts and chains and on pipes with an axial flow of fluid. Constitutive relations in the dynamics of systems with variable mass are studied with particular reference to modeling of multi-component mixtures. The dynamics of machines with a variable mass are treated in detail and conservation laws and the stability of motion will be analyzed. Novel finite element formulations for open systems in coupled fluid and structural dynamics are presented.

Dynamics of Mechanical Systems with Coulomb Friction

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540006541
Total Pages : 284 pages
Book Rating : 4.0/5 (65 download)

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Book Synopsis Dynamics of Mechanical Systems with Coulomb Friction by : Le Xuan Anh

Download or read book Dynamics of Mechanical Systems with Coulomb Friction written by Le Xuan Anh and published by Springer Science & Business Media. This book was released on 2003-04-23 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: i) derivation of the equations of motion, ii) Painleve's paradoxes, iii) tangential impact and dynamic seizure, and iiii) frictional self-excited oscillations. In addition to theoretical results, the book contains a detailed description of experiments that have been performed. These show that, in general, the friction force at the instant of transition to motion is determined by the rate of tangential load and does not depend on the duration of the previous contact. These results are used to develop the theory of frictional self-excited oscillations. A number of industrially relevant mechanisms are considered, including the Painleve-Klein scheme, epicyclic mechanisms, crank mechanisms, gear transmission, the link mechanism of a planing machine, and the slider of metal-cutting machine tools. The book is intended for researchers, engineers and students in mechanical engineering.

Dynamics and Control of Hybrid Mechanical Systems

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Publisher : World Scientific
ISBN 13 : 9814282324
Total Pages : 261 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Dynamics and Control of Hybrid Mechanical Systems by : Gennadiĭ Alekseevich Leonov

Download or read book Dynamics and Control of Hybrid Mechanical Systems written by Gennadiĭ Alekseevich Leonov and published by World Scientific. This book was released on 2010 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this edited volume aim to provide a better understanding of the dynamics and control of a large class of hybrid dynamical systems that are described by different models in different state space domains. They not only cover important aspects and tools for hybrid systems analysis and control, but also a number of experimental realizations. Special attention is given to synchronization a universal phenomenon in nonlinear science that gained tremendous significance since its discovery by Huygens in the 17th century. Possible applications of the results introduced in the book include control of mobile robots, control of CD/DVD players, flexible manufacturing lines, and complex networks of interacting agents. The book is based on the material presented at a similarly entitled minisymposium at the 6th European Nonlinear Dynamics Conference held in St Petersburg in 2008. It is unique in that it contains results of several international and interdisciplinary collaborations in the field, and reflects state-of-the-art technological development in the area of hybrid mechanical systems at the forefront of the 21st century.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 620 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 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 722 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Mechanics Today

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Publisher : Elsevier
ISBN 13 : 1483151514
Total Pages : 329 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Mechanics Today by : S. Nemat-Nasser

Download or read book Mechanics Today written by S. Nemat-Nasser and published by Elsevier. This book was released on 2013-10-22 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics Today, Volume 3 provides the advances in the fields of solid and fluid mechanics and applied mathematics. This volume is divided into six chapters that discuss the fundamentals and analytical and experimental results of dynamic behavior of linear and nonlinear systems. Chapter I provides a formulation of the effective stiffness theory with equations of motion and boundary conditions presented for the case of plain strain motion. Chapter II summarizes some of the analytical results that have been obtained in an effort to improve understanding of elastodynamic fracture processes. Chapter III presents the matrix difference equations used to formulate problems related to random vibration of periodic and almost periodic structures, taking advantage of the identical construction of the interconnecting units. Chapter IV describes a basic approach to the Oseen problem through the use of integral representations of the velocity and pressure fields. Chapter V deals with an analysis of nonlinear gyroscopic systems and the motions of high-order nongyroscopic systems. Chapter VI focuses on the application of the WKB perturbation method in the study of static deformation, vibration, wave propagation, and instability of elastic bodies. This volume is of great value to solid and fluid mechanics specialists and also to non-specialists with sufficient background of the field.