The Duffing Equation: Nonlinear Oscillators and their Behaviour - Hardcover

Kovacic, Ivana; Brennan, Michael J.

Hardcover

ISBN 10: 0470715499 ISBN 13: 9780470715499

Publisher: Wiley, 2011

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. 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.

About this title

Review:

"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)

From the Back Cover:

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.

About this edition

• Publisher: Wiley
• Publication date: 2011
• ISBN 10: 0470715499
• ISBN 13: 9780470715499
• Binding: Hardcover
• Edition number: 1
• Number of pages: 392