Energy Methods in Dynamics
Publisher: Springer
Published: 2011
Place of publication: Berlin
Description: Energy Methods in Dynamics is a textbook based on the lectures given by the author at the Ruhr University Bochum, Germany. The distinctive features of this book, 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 will be demonstrated that many well-known methods in dynamics like those of Lindstedt-Poincare, Bogoliubov-Mitropolsky, Kolmogorov-Arnold-Moser (KAM), and Whitham are derivable from this variational-asymptotic analysis.
Table of contents: pagenum: 1
title: Linear theory
label: Part 1; pagenum: 3
title: Single oscillator
label: Chapter 1; pagenum: 35
title: Coupled oscillators
label: Chapter 2; pagenum: 71
title: Continuous oscillators
label: Chapter 3; pagenum: 109
title: Linear waves
label: Chapter 4; pagenum: 149
title: Nonlinear theory
label: Part 2; pagenum: 151
title: Autonomous single oscillator
label: Chapter 5; pagenum: 185
title: Non-autonomous single oscillator
label: Chapter 6; pagenum: 215
title: Coupled oscillators
label: Chapter 7; pagenum: 247
title: Nonlinear waves
label: Chapter 8; label: Notation
title: 285; label: References
title: 287; label: Index
title: 289