Logo - springer
Slogan - springer

Materials - Mechanics | Energy Methods in Dynamics

Energy Methods in Dynamics

Le, Khanh Chau, Nguyen, Lu Trong Khiem

2nd ed. 2014, XII, 413 p. 183 illus.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$139.00

(net) price for USA

ISBN 978-3-319-05419-3

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$179.00

(net) price for USA

ISBN 978-3-319-05418-6

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Gives insight into the mechanism of vibrations and waves in order to control them in an optimal way Introduction to the systematic and intensive use of Hamilton's variational principle and its generalizations for deriving the governing equations of conservative and dissipative mechanical systems
  • Presents the first principles from which the governing equations can be derived, and the adequate mathematical methods for their solving
  • Presents the direct variational-asymptotic analysis and how many well-known methods in dynamics like those of Lindstedt-Poincare, Bogoliubov-Mitropolsky, Kolmogorov-Arnold-Moser (KAM), and Witham can be derived from it
  • The new extended and reworked second edition of this successful book includes solutions to all exercises showing the energy and variational asymptotic method in “action”
  • The present second edition also includes a new chapter on the new developments in slope and amplitude modulation of nonlinear waves

Energy Methods in Dynamics is a textbook based on the lectures given by the first author at Ruhr University Bochum, Germany. Its aim is to help students acquire both a good grasp of the first principles from which the governing equations can be derived, and the adequate mathematical methods for their solving. Its distinctive features, as seen from the title, lie in the systematic and intensive use of Hamilton's variational principle and its generalizations for deriving the governing equations of conservative and dissipative mechanical systems, and also in providing the direct variational-asymptotic analysis, whenever available, of the energy and dissipation for the solution of these equations. It demonstrates that many well-known methods in dynamics like those of Lindstedt-Poincare, Bogoliubov-Mitropolsky, Kolmogorov-Arnold-Moser (KAM), Wentzel–Kramers–Brillouin (WKB),  and Whitham are derivable from this variational-asymptotic analysis.

 

This second edition includes the solutions to all exercises as well as some new materials concerning amplitude and slope modulations of nonlinear dispersive waves.

Content Level » Research

Keywords » Dissipation - Energy - Hamilton’s Variational Principle and its Generalization - Variational-asymptotic Method

Related subjects » Applications - Energy - Mechanics

Table of contents 

Part I Linear theory.- Part II Nonlinear theory.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Vibration, Dynamical Systems, Control.