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The Duffing Equation

Nonlinear Oscillators and their Behaviour
Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
The Duffing Equation: Nonlinear Oscillators and their Behaviour compiles extensive research on the Duffing equation, a fundamental model in engineering with numerous scientific applications. Written by specialists in nonlinear dynamics, the chapters cover different forms of the equation and relate them to various oscillatory systems. The text clearly connects physical problems with their mathematical descriptions and offers explanations accessible to readers with limited mathematical background.

The book includes sections on the historical context of Georg Duffing, practical system examples governed by the equation, and a comprehensive exploration of its various forms. It integrates experimental, analytical, and numerical approaches alongside nonlinear dynamics concepts, providing a unified treatment of these physical systems.
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Format: Hardback
$27299
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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

This reference text is ideal for postgraduate students, researchers specialising in mechanical engineering, vibration, and nonlinear dynamics, as well as practising mechanical engineers seeking a comprehensive guide to nonlinear oscillatory systems.

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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.

Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

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, summarising 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 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.

Book Hero Magic summarised reviews for this book. While it's new and still learning, it may not be perfect - your feedback is welcome! HOW HAS THIS BEEN REVIEWED?

Zentralblatt MATH (2011) praises the book as a well-written and tightly edited exposition on Duffing equations and nonlinear oscillators' behaviour. It highlights the book's relevance and usefulness for students, engineers, and researchers studying nonlinear phenomena, supported by over 340 references.

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Book Details

INFORMATION

ISBN: 9780470715499

Publisher: John Wiley & Sons Inc

Format: Hardback

Date Published: 25 March 2011

Country: United States

Imprint: John Wiley & Sons Inc

Audience: Tertiary education

DIMENSIONS

Spine width: 26.0mm

Width: 163.0mm

Height: 236.0mm

Weight: 699g

Pages: 392

About the Author

Michael J Brennan, Dynamics Group, Institute of Sound and Vibration Research (ISVR), University of Southampton, UK
Professor Michael Brennan holds a personal chair in Engineering Dynamics and is Chairman of the Dynamics Research in the ISVR at Southampton University. He joined Southampton in 1995 after a 23 year career as an engineer in the Royal Navy. Since 1995 Professor Brennan has worked on several aspects of sound and vibration, specialising in the use of smart structures for active vibration control, active control of structurally-radiated sound and the condition monitoring of gear boxes by the analysis of vibration data and rotor dynamics. Mike Brennan has edited 3 conference proceedings, 3 book chapters, and over 200 academic journal and conference papers.

Ivana Kovavic, Department of Mathematics, Faculty of Technical Sciences, University of Novi Sad, Serbia Ivana
Kovavic is an associate professor within the Department of Mathematics at the University of Novi Sad in Serbia. She has authored two books in the Polish language, 30 journal and conference papers and edited 1 conference proceedings.

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