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| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310143348.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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110924s2012 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783642224041 |
|
978-3-642-22404-1 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
620 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg, |
| -- |
2012. |
| 912 ## - |
|---|
| -- |
ZDB-2-ENG |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Le, Khanh Chau. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Energy Methods in Dynamics |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Khanh Chau Le. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
X, 294p. 142 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Interaction of Mechanics and Mathematics, |
| International Standard Serial Number |
1860-6245 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
I Linear theory -- 1 Single oscillator -- 2 Coupled oscillator -- 3 Continuous oscillator -- 4 Linear waves -- II Nonlinear theory -- 5 Single oscillator -- 6 Forced oscillator -- 7 Coupled oscillator -- 8 Nonlinear waves. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The above examples should make clear the necessity of understanding the mechanism of vibrations and waves in order to control them in an optimal way. However vibrations and waves are governed by differential equations which require, as a rule, rather complicated mathematical methods for their analysis. The aim of this textbook 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 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. This book grew up from the lectures given by the author in the last decade at the Ruhr University Bochum, Germany. Since vibrations and waves are constituents of various disciplines (physics, mechanics, electrical engineering etc.) and cannot be handled in a single textbook, I have restricted myself mainly to vibrations and waves of mechanical nature. The material of this book can be recommended for a one year course in higher dynamics for graduate students of mechanical and civil engineering. For this circle of readers, the emphasis is made on the constructive methods of solution and not on the rigorous mathematical proofs of convergence. As compensation, various numerical simulations of the exact and approximate solutions are provided which demonstrate vividly the validity of the used methods. To help students become more proficient, each chapter ends with exercises, of which some can be solved effectively by using Mathematica. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Engineering. |
|
|---|
| Topical term or geographic name as entry element |
Differentiable dynamical systems. |
|
|---|
| Topical term or geographic name as entry element |
Physics. |
|
|---|
| Topical term or geographic name as entry element |
Engineering mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Vibration. |
|
|---|
| Topical term or geographic name as entry element |
Engineering. |
|
|---|
| Topical term or geographic name as entry element |
Vibration, Dynamical Systems, Control. |
|
|---|
| Topical term or geographic name as entry element |
Appl.Mathematics/Computational Methods of Engineering. |
|
|---|
| Topical term or geographic name as entry element |
Dynamical Systems and Ergodic Theory. |
|
|---|
| Topical term or geographic name as entry element |
Complexity. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783642224034 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-22404-1 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
