Oscillations In Planar Dynamic Systems

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Oscillations in Planar Dynamic Systems

Author : Ronald E. Mickens
Publisher : World Scientific
ISBN 13 : 9810222920
Total Pages : 340 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Oscillations in Planar Dynamic Systems by : Ronald E. Mickens

Download or read book Oscillations in Planar Dynamic Systems written by Ronald E. Mickens and published by World Scientific. This book was released on 1996 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise presentation of the major techniques for determining analytic approximations to the solutions of planar oscillatory dynamic systems. These systems model many important phenomena in the sciences and engineering. In addition to the usual perturbation procedures, the book gives the details of when and how to correctly apply the method of harmonic balance for both first-order and higher-order calculations. This procedure is rarely given or discussed fully in standard textbooks. The basic philosophy of the book stresses how to initiate and complete the calculation of approximate solutions. This is done by a clear presentation of necessary background materials and by the working out of many examples.

Oscillations In Planar Dynamic Systems

Author : Ronald E Mickens
Publisher : World Scientific
ISBN 13 : 981450033X
Total Pages : 340 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Oscillations In Planar Dynamic Systems by : Ronald E Mickens

Download or read book Oscillations In Planar Dynamic Systems written by Ronald E Mickens and published by World Scientific. This book was released on 1996-01-11 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise presentation of the major techniques for determining analytic approximations to the solutions of planar oscillatory dynamic systems. These systems model many important phenomena in the sciences and engineering. In addition to the usual perturbation procedures, the book gives the details of when and how to correctly apply the method of harmonic balance for both first-order and higher-order calculations. This procedure is rarely given or discussed fully in standard textbooks. The basic philosophy of the book stresses how to initiate and complete the calculation of approximate solutions. This is done by a clear presentation of necessary background materials and by the working out of many examples.

Regular and Chaotic Oscillations

Author : Polina S. Landa
Publisher : Springer Science & Business Media
ISBN 13 : 3540452524
Total Pages : 401 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Regular and Chaotic Oscillations by : Polina S. Landa

Download or read book Regular and Chaotic Oscillations written by Polina S. Landa and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text maps out the modern theory of non-linear oscillations. The material is presented in a non-traditional manner and emphasises the new results of the theory - obtained partially by the author, who is one of the leading experts in the area. Among the topics are: synchronization and chaotization of self-oscillatory systems and the influence of weak random vibration on modification of characteristics and behaviour of the non-linear systems.

Physical Fundamentals of Oscillations

Author : Leonid Chechurin
Publisher : Springer
ISBN 13 : 3319751549
Total Pages : 262 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Physical Fundamentals of Oscillations by : Leonid Chechurin

Download or read book Physical Fundamentals of Oscillations written by Leonid Chechurin and published by Springer. This book was released on 2018-04-16 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces possibly the most compact, simple and physically understandable tool that can describe, explain, predict and design the widest set of phenomena in time-variant and nonlinear oscillations. The phenomena described include parametric resonances, combined resonances, instability of forced oscillations, synchronization, distributed parameter oscillation and flatter, parametric oscillation control, robustness of oscillations and many others. Although the realm of nonlinear oscillations is enormous, the book relies on the concept of minimum knowledge for maximum understanding. This unique tool is the method of stationarization, or one frequency approximation of parametric resonance problem analysis in linear time-variant dynamic systems. The book shows how this can explain periodic motion stability in stationary nonlinear dynamic systems, and reveals the link between the harmonic stationarization coefficients and describing functions. As such, the book speaks the language of control: transfer functions, frequency response, Nyquist plot, stability margins, etc. An understanding of the physics of stability loss is the basis for the design of new oscillation control methods for, several of which are presented in the book. These and all the other findings are illustrated by numerical examples, which can be easily reproduced by readers equipped with a basic simulation package like MATLAB with Simulink. The book offers a simple tool for all those travelling through the world of oscillations, helping them discover its hidden beauty. Researchers can use the method to uncover unknown aspects, and as a reference to compare it with other, for example, abstract mathematical means. Further, it provides engineers with a minimalistic but powerful instrument based on physically measurable variables to analyze and design oscillatory systems.

Truly Nonlinear Oscillations

Author : Ronald E. Mickens
Publisher : World Scientific
ISBN 13 : 9814291668
Total Pages : 261 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Truly Nonlinear Oscillations by : Ronald E. Mickens

Download or read book Truly Nonlinear Oscillations written by Ronald E. Mickens and published by World Scientific. This book was released on 2010 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of truly nonlinear (TNL) oscillator equations. The volume gives a general overview of the author''s work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods. The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply these technique to the field of nonlinear oscillations.

Vibrations

Author : Balakumar Balachandran
Publisher : Cambridge University Press
ISBN 13 : 1108657311
Total Pages : 753 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Vibrations by : Balakumar Balachandran

Download or read book Vibrations written by Balakumar Balachandran and published by Cambridge University Press. This book was released on 2018-11-01 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition explains how vibrations can be used in a broad spectrum of applications and how to meet the challenges faced by engineers and system designers. The text integrates linear and nonlinear systems, and covers the time domain and the frequency domain, responses to harmonic and transient excitations, and discrete and continuous system models. It focuses on modeling, analysis, prediction, and measurement to provide a complete understanding of the underlying physical vibratory phenomena and their relevance for engineering design. Knowledge is put into practice through numerous examples with real-world applications in a range of disciplines, detailed design guidelines applicable to various vibratory systems, and over forty online interactive graphics which provide a visual summary of system behaviors and enable students to carry out their own parametric studies. Some thirteen new tables act as a quick reference for self-study, detailing key characteristics of physical systems and summarizing important results. This is an essential text for undergraduate and graduate courses in vibration analysis, and a valuable reference for practicing engineers.

Dynamical Systems

Author : C.M. Place
Publisher : Routledge
ISBN 13 : 1351454277
Total Pages : 344 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Dynamical Systems by : C.M. Place

Download or read book Dynamical Systems written by C.M. Place and published by Routledge. This book was released on 2017-11-22 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text discusses the qualitative properties of dynamical systems including both differential equations and maps. The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams) to develop the material, including a treatment of chaotic behavior. The unprecedented popular interest shown in recent years in the chaotic behavior of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. However there has, until now, been no text which sets out this developing area of mathematics within the context of standard teaching of ordinary differential equations. Applications in physics, engineering, and geology are considered and introductions to fractal imaging and cellular automata are given.

Oscillations and Waves

Author : M.I Rabinovich
Publisher : Springer Science & Business Media
ISBN 13 : 9400910339
Total Pages : 586 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Oscillations and Waves by : M.I Rabinovich

Download or read book Oscillations and Waves written by M.I Rabinovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et mai - ... - si j'avait su comment en revenir. One service mathematics has rendered the je n'y semis point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost sheJf next to the dusty canister Iabclled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 772 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 1970 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Optimal Homotopy Asymptotic Method

Author : Vasile Marinca
Publisher : Springer
ISBN 13 : 3319153749
Total Pages : 476 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Optimal Homotopy Asymptotic Method by : Vasile Marinca

Download or read book The Optimal Homotopy Asymptotic Method written by Vasile Marinca and published by Springer. This book was released on 2015-04-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book “Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches”, published at Springer in 2011 and it contains a great amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines and so on. The main structure of the book consists of 5 chapters. The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method. The last three chapters, from Chapter 3 to Chapter 5, are introducing three distinct alternatives of the Optimal Homotopy Asymptotic Method with illustrative applications to nonlinear dynamical systems. The third chapter deals with the first alternative of our approach with two iterations. Five applications are presented from fluid mechanics and nonlinear oscillations. The Chapter 4 presents the Optimal Homotopy Asymptotic Method with a single iteration and solving the linear equation on the first approximation. Here are treated 32 models from different fields of engineering such as fluid mechanics, thermodynamics, nonlinear damped and undamped oscillations, electrical machines and even from physics and biology. The last chapter is devoted to the Optimal Homotopy Asymptotic Method with a single iteration but without solving the equation in the first approximation.

Applications of Nonstandard Finite Difference Schemes

Author : Ronald E. Mickens
Publisher : World Scientific
ISBN 13 : 9789810241339
Total Pages : 268 pages
Book Rating : 4.2/5 (413 download)

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Book Synopsis Applications of Nonstandard Finite Difference Schemes by : Ronald E. Mickens

Download or read book Applications of Nonstandard Finite Difference Schemes written by Ronald E. Mickens and published by World Scientific. This book was released on 2000 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to provide a concise introduction to the methods and philosophy of constructing nonstandard finite difference schemes and illustrate how such techniques can be applied to several important problems. Chapter I gives an overview of the subject and summarizes previous work. Chapters 2 and 3 consider in detail the construction and numerical implementation of schemes for physical problems involving convection-diffusion-reaction equations, that arise in groundwater pollution and scattering of electromagnetic waves using Maxwell's equations. Chapter 4 examines certain mathematical issues related to the nonstandard discretization of competitive and cooperative models for ecology. The application chapters illustrate well the power of nonstandard methods. In particular, for the same accuracy as obtained by standard techniques, larger step sizes can be used. This volume will satisfy the needs of scientists, engineers, and mathematicians who wish to know how to construct nonstandard schemes and see how these are applied to obtain numerical solutions of the differential equations which arise in the study of nonlinear dynamical systems modeling important physical phenomena.

Dynamical Systems and Nonlinear Waves in Plasmas

Author : Santo Banerjee
Publisher : CRC Press
ISBN 13 : 1000404757
Total Pages : 218 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Dynamical Systems and Nonlinear Waves in Plasmas by : Santo Banerjee

Download or read book Dynamical Systems and Nonlinear Waves in Plasmas written by Santo Banerjee and published by CRC Press. This book was released on 2021-09-10 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical systems and Nonlinear Waves in Plasmas is written in a clear and comprehensible style to serve as a compact volume for advanced postgraduate students and researchers working in the areas of Applied Physics, Applied Mathematics, Dynamical Systems, Nonlinear waves in Plasmas or other nonlinear media. It provides an introduction to the background of dynamical systems, waves, oscillations and plasmas. Basic concepts of dynamical systems and phase plane analysis for the study of dynamical properties of nonlinear waves in plasmas are presented. Different kinds of waves in plasmas are introduced. Reductive perturbative technique and its applications to derive different kinds of nonlinear evolution equations in plasmas are discussed. Analytical wave solutions of these nonlinear evolution equations are presented using the concept of bifurcation theory of planar dynamical systems in a very simple way. Bifurcations of both small and arbitrary amplitudes of various nonlinear acoustic waves in plasmas are presented using phase plots and time-series plots. Super nonlinear waves and its bifurcation behaviour are discussed for various plasma systems. Multiperiodic, quasiperiodic and chaotic motions of nonlinear plasma waves are discussed in presence of external periodic force. Multistability of plasma waves is investigated. Stable oscillation of plasma waves is also presented in dissipative plasmas. The book is meant for undergraduate and postgraduate students studying plasma physics. It will also serve a reference to the researchers, scientists and faculties to pursue the dynamics of nonlinear waves and its properties in plasmas. It describes the concept of dynamical systems and is useful in understanding exciting features, such as solitary wave, periodic wave, supernonlinear wave, chaotic, quasiperiodic and coexisting structures of nonlinear waves in plasmas. The concepts and approaches, discussed in the book, will also help the students and professionals to study such features in other nonlinear media.

Motor Vehicle Dynamics: Modelling And Simulation

Author : Giancarlo Genta
Publisher : World Scientific
ISBN 13 : 9814497991
Total Pages : 552 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Motor Vehicle Dynamics: Modelling And Simulation by : Giancarlo Genta

Download or read book Motor Vehicle Dynamics: Modelling And Simulation written by Giancarlo Genta and published by World Scientific. This book was released on 1997-04-19 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book starts with an historical overview of road vehicles. The first part deals with the forces exchanged between the vehicle and the road and the vehicle and the air with the aim of supplying the physical facts and the relevant mathematical models about the forces which dominate the dynamics of the vehicle.The second part deals with the dynamic behaviour of the vehicle in normal driving conditions with some extensions towards conditions encountered in high-speed racing driving.

Mathematical Methods for the Natural and Engineering Sciences

Author : Ronald E. Mickens
Publisher : World Scientific
ISBN 13 : 9789812387509
Total Pages : 544 pages
Book Rating : 4.3/5 (875 download)

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Book Synopsis Mathematical Methods for the Natural and Engineering Sciences by : Ronald E. Mickens

Download or read book Mathematical Methods for the Natural and Engineering Sciences written by Ronald E. Mickens and published by World Scientific. This book was released on 2004 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

Mathematical Methods For The Natural And Engineering Sciences (Second Edition)

Author : Ronald E Mickens
Publisher : World Scientific Publishing Company
ISBN 13 : 9813202726
Total Pages : 640 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Mathematical Methods For The Natural And Engineering Sciences (Second Edition) by : Ronald E Mickens

Download or read book Mathematical Methods For The Natural And Engineering Sciences (Second Edition) written by Ronald E Mickens and published by World Scientific Publishing Company. This book was released on 2016-12-29 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert-W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature.

Material Engineering And Mechanical Engineering - Proceedings Of Material Engineering And Mechanical Engineering (Meme2015)

Author : Huiyu Zhou
Publisher : World Scientific
ISBN 13 : 9814759694
Total Pages : 1538 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Material Engineering And Mechanical Engineering - Proceedings Of Material Engineering And Mechanical Engineering (Meme2015) by : Huiyu Zhou

Download or read book Material Engineering And Mechanical Engineering - Proceedings Of Material Engineering And Mechanical Engineering (Meme2015) written by Huiyu Zhou and published by World Scientific. This book was released on 2016-05-26 with total page 1538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of proceeding of International Conference on Material Engineering and Mechanical Engineering [MEME2015] is to provide a platform for researchers, engineers, and academicians, as well as industrial professionals, to present their research results and applications developed for Material Engineering and Mechanical Engineering. It provides an opportunities for the delegates to exchange new ideas and application experiences, to enhance business or research relations and to find global partners for future collaboration. The object is to strengthen national academic exchanges and cooperation in the field, promote the rapid development of machinery, materials science and engineering application, effectively improve China's machinery, materials science and engineering applications in the field of academic status and international influence.

Recent Advances In Mathematics, Statistics And Computer Science 2015 - International Conference

Author : Arun Kumar Sinha
Publisher : World Scientific
ISBN 13 : 9814704849
Total Pages : 675 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Recent Advances In Mathematics, Statistics And Computer Science 2015 - International Conference by : Arun Kumar Sinha

Download or read book Recent Advances In Mathematics, Statistics And Computer Science 2015 - International Conference written by Arun Kumar Sinha and published by World Scientific. This book was released on 2016-06-09 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume presents the scientific achievements, significant discoveries and pioneering contributions of various academicians, industrialist and research scholars. The book is an essential source of reference and provides a comprehensive overview of the author's work in the field of mathematics, statistics and computer science.