Overview
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.
Full Product Details
Author: Khanh Chau Le ,
Lu Trong Khiem Nguyen
Publisher: Springer International Publishing AG
Imprint: Springer International Publishing AG
Edition: 2nd ed. 2014
Dimensions:
Width: 15.50cm
, Height: 2.20cm
, Length: 23.50cm
Weight: 6.438kg
ISBN: 9783319054186
ISBN 10: 331905418
Pages: 413
Publication Date: 18 March 2014
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
From the book reviews: This textbook is addressed to teachers and students of mechanical and civil engineering. ... To help the reader to become more proficient, each chapter ends with exercises some of which can be solved effectively by using Mathematica. ... The main goal of this textbook is to help readers to acquire both a good grasp of the first principles from which the igoverning equations can be derived, and the adequate mathematical methods for their solving. (Vasile Marinca, zbMATH, Vol. 1303, 2015)
From the book reviews: This textbook is addressed to teachers and students of mechanical and civil engineering. ... To help the reader to become more proficient, each chapter ends with exercises some of which can be solved effectively by using Mathematica. ... The main goal of this textbook is to help readers to acquire both a good grasp of the first principles from which the igoverning equations can be derived, and the adequate mathematical methods for their solving. (Vasile Marinca, zbMATH, Vol. 1303, 2015)
From the book reviews: This textbook is addressed to teachers and students of mechanical and civil engineering. ... To help the reader to become more proficient, each chapter ends with exercises some of which can be solved effectively by using Mathematica. ... The main goal of this textbook is to help readers to acquire both a good grasp of the first principles from which the igoverning equations can be derived, and the adequate mathematical methods for their solving. (Vasile Marinca, zbMATH, Vol. 1303, 2015)
From the book reviews: “This textbook is addressed to teachers and students of mechanical and civil engineering. … To help the reader to become more proficient, each chapter ends with exercises some of which can be solved effectively by using Mathematica. … The main goal of this textbook is to help readers to acquire both a good grasp of the first principles from which the igoverning equations can be derived, and the adequate mathematical methods for their solving.” (Vasile Marinca, zbMATH, Vol. 1303, 2015)
