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The Duffing Equation: Nonlinear Oscillators and their Behaviour by Ivana Kovacic
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eBay item number:282873377049
Item specifics
- Condition
- Book Title
- The Duffing Equation: Nonlinear Oscillators and their Behaviour
- Publication Date
- 2011-03-25
- ISBN
- 9780470715499
- Subject Area
- Mathematics, Technology & Engineering, Science
- Publication Name
- Duffing Equation : Nonlinear Oscillators and Their Behaviour
- Publisher
- Wiley & Sons, Incorporated, John
- Item Length
- 9 in
- Subject
- Engineering (General), Differential Equations / General, Mechanics / General
- Publication Year
- 2011
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.9 in
- Item Weight
- 22 Oz
- Item Width
- 6 in
- Number of Pages
- 386 Pages
About this product
Product Identifiers
Publisher
Wiley & Sons, Incorporated, John
ISBN-10
0470715499
ISBN-13
9780470715499
eBay Product ID (ePID)
99524580
Product Key Features
Number of Pages
386 Pages
Publication Name
Duffing Equation : Nonlinear Oscillators and Their Behaviour
Language
English
Subject
Engineering (General), Differential Equations / General, Mechanics / General
Publication Year
2011
Type
Textbook
Subject Area
Mathematics, Technology & Engineering, Science
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
22 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2010-034587
Reviews
"The book is a very well written and tightly edited exposition, not only of Duffing equations, but also of the general behavior of nonlinear oscillators. The book is likely to be of interest and use to students, engineers, and researchers in the ongoing studies of nonlinear phenomena. The book cites over 340 references." (Zentralblatt MATH, 2011)
TitleLeading
The
Illustrated
Yes
Table Of Content
List of Contributors. Preface. 1 Background: On Georg Duffing and the Duffing Equation ( Ivana Kovacic and Michael J. Brennan ). 1.1 Introduction. 1.2 Historical perspective. 1.3 A brief biography of Georg Duffing. 1.4 The work of Georg Duffing. 1.5 Contents of Duffing''s book. 1.6 Research inspired by Duffing''s work. 1.7 Some other books on nonlinear dynamics. 1.8 Overview of this book. References. 2 Examples of Physical Systems Described by the Duffing Equation ( Michael J. Brennan and Ivana Kovacic ). 2.1 Introduction. 2.2 Nonlinear stiffness. 2.3 The pendulum. 2.4 Example of geometrical nonlinearity. 2.5 A system consisting of the pendulum and nonlinear stiffness. 2.6 Snap-through mechanism. 2.7 Nonlinear isolator. 2.8 Large deflection of a beam with nonlinear stiffness. 2.9 Beam with nonlinear stiffness due to inplane tension. 2.10 Nonlinear cable vibrations. 2.11 Nonlinear electrical circuit. 2.12 Summary. References. 3 Free Vibration of a Duffing Oscillator with Viscous Damping ( Hiroshi Yabuno ). 3.1 Introduction. 3.2 Fixed points and their stability. 3.3 Local bifurcation analysis. 3.4 Global analysis for softening nonlinear stiffness (γ< 0). 3.5 Global analysis for hardening nonlinear stiffness (γ< 0). 3.6 Summary. Acknowledgments. References. 4 Analysis Techniques for the Various Forms of the Duffing Equation ( Livija Cveticanin ). 4.1 Introduction. 4.2 Exact solution for free oscillations of the Duffing equation with cubic nonlinearity. 4.3 The elliptic harmonic balance method. 4.4 The elliptic Galerkin method. 4.5 The straightforward expansion method. 4.6 The elliptic Lindstedt-Poincaré method. 4.7 Averaging methods. 4.8 Elliptic homotopy methods. 4.9 Summary. References. Appendix AI: Jacob elliptic function and elliptic integrals. Appendix 4AII: The best L 2 norm approximation. 5 Forced Harmonic Vibration of a Duffing Oscillator with Linear Viscous Damping ( Tamas Kalmar-Nagy and Balakumar Balachandran ). 5.1 Introduction. 5.2 Free and forced responses of the linear oscillator. 5.3 Amplitude and phase responses of the Duffing oscillator. 5.4 Periodic solutions, Poincare sections, and bifurcations. 5.5 Global dynamics. 5.6 Summary. References. 6 Forced Harmonic Vibration of a Duffing Oscillator with Different Damping Mechanisms ( Asok Kumar Mallik ). 6.1 Introduction. 6.2 Classification of nonlinear characteristics. 6.3 Harmonically excited Duffing oscillator with generalised damping. 6.4 Viscous damping. 6.5 Nonlinear damping in a hardening system. 6.6 Nonlinear damping in a softening system. 6.7 Nonlinear damping in a double-well potential oscillator. 6.8 Summary. Acknowledgments. References. 7 Forced Harmonic Vibration in a Duffing Oscillator with Negative Linear Stiffness and Linear Viscous Damping ( Stefano Lenci and Giuseppe Rega ). 7.1 Introduction. 7.2 Literature survey. 7.3 Dynamics of conservative and nonconservative systems. 7.4 Nonlinear periodic oscillations. 7.5 Transition to complex response. 7.6 Nonclassical analyses. 7.7 Summary. References. 8 Forced Harmonic Vibration of an Asymmetric Duffing Oscillator ( Ivana Kovacic and Michael J. Brennan ). 8.1 Introduction. 8.2 Models of the systems under consideration. 8.3 Regular response of the pure cubic oscillator. 8.4 Regular response of the single-well Helmholtz-Duffing oscillator. 8.5 Chaotic response of the pure cubic oscillator. 8.6 Chaotic response of the single-well Helmholtz-Duffing oscillator. 8.7 Summary. References. Appendix Translation of Sections from Duffing''s Original Book ( Keith Worden and Heather Worden ). Glossary. Index.
Synopsis
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research., The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research. Each chapter is written by an expert contributor in the field of nonlinear dynamics and addresses a different form of the equation, relating it to various oscillatory problems and clearly linking the problem with the mathematics that describe it. The editors and the contributors explain the mathematical techniques required to study nonlinear dynamics, helping the reader with little mathematical background to understand the text. The Duffing Equation provides a reference text for postgraduate and students and researchers of mechanical engineering and vibration / nonlinear dynamics as well as a useful tool for practising mechanical engineers. Includes a chapter devoted to historical background on Georg Duffing and the equation that was named after him. Includes a chapter solely devoted to practical examples of systems whose dynamic behaviour is described by the Duffing equation. Contains a comprehensive treatment of the various forms of the Duffing equation. Uses experimental, analytical and numerical methods as well as concepts of nonlinear dynamics to treat the physical systems in a unified way., The Duffing Equation: Nonlinear Oscillators and their Behaviour Ivana Kovacic, University of Novi Sad, Faculty of Technical Sciences, Serbia Michael J Brennan, University of Southampton, Institute of Sound and Vibration Research, United Kingdom The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research. Each chapter is written by an expert contributor in the field of nonlinear dynamics and addresses a different form of the equation, relating it to various oscillatory problems and clearly linking the problem with the mathematics that describe it. The editors and the contributors explain the mathematical techniques required to study nonlinear dynamics, helping the reader with little mathematical background to understand the text. The Duffing Equation provides a reference text for postgraduate and students and researchers of mechanical engineering and vibration / nonlinear dynamics as well as a useful tool for practising mechanical engineers. Includes a chapter devoted to historical background on Georg Duffing and the equation that was named after him. Includes a chapter solely devoted to practical examples of systems whose dynamic behaviour is described by the Duffing equation. Contains a comprehensive treatment of the various forms of the Duffing equation. Uses experimental, analytical and numerical methods as well as concepts of nonlinear dynamics to treat the physical systems in a unified way.
LC Classification Number
QA372
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- r***g (244)- Feedback left by buyer.Past monthVerified purchaseBook was "nearly new" and "as described" in listing. The advertised price was fair and a good value. Unfortunately, the seller's shipping partner was very slow to get the book packaged and shipped. Shipping took too long, and the tracking info gave no reliable info on shipping date, time in transit or expected delivery. Seller did everything right, but their shipping partner needs improvement. I recommend this seller to other eBay buyers....... just make sure you're okay with the shipping terms.
- e***u (283)- Feedback left by buyer.Past 6 monthsVerified purchaseThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- a***a (419)- Feedback left by buyer.Past monthVerified purchaseThis 2DVD set is in perfect condition. Cover art and case like new. Both DVDs played with no flaws. Description was listed as “Good”; I would describe it as “Very Good”, basically Like New. Delivery was super fast and packaging was excellent. The DVD case was wrapped well, then put in a cardboard envelope that was sturdy and hard to open (this is NOT a negative!). I have purchased from this company a few times and have always been very satisfied. Prices are great.
Seller feedback (555,770)
- r***g (244)- Feedback left by buyer.Past monthVerified purchaseBook was "nearly new" and "as described" in listing. The advertised price was fair and a good value. Unfortunately, the seller's shipping partner was very slow to get the book packaged and shipped. Shipping took too long, and the tracking info gave no reliable info on shipping date, time in transit or expected delivery. Seller did everything right, but their shipping partner needs improvement. I recommend this seller to other eBay buyers....... just make sure you're okay with the shipping terms.
- e***u (283)- Feedback left by buyer.Past 6 monthsVerified purchaseThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- a***a (419)- Feedback left by buyer.Past monthVerified purchaseThis 2DVD set is in perfect condition. Cover art and case like new. Both DVDs played with no flaws. Description was listed as “Good”; I would describe it as “Very Good”, basically Like New. Delivery was super fast and packaging was excellent. The DVD case was wrapped well, then put in a cardboard envelope that was sturdy and hard to open (this is NOT a negative!). I have purchased from this company a few times and have always been very satisfied. Prices are great.