Theory of elastic oscillations : equations and methods /

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Bibliographic Details
Author / Creator:Fridman, Vladimir, author.
Imprint:Singapore : Springer, 2017.
Description:1 online resource (xiii, 257 pages) : illustrations (some color)
Language:English
Series:Foundations of engineering mechanics
Foundations of engineering mechanics.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11541353
Hidden Bibliographic Details
Other authors / contributors:Sviyazheninov, Eugene, translator.
ISBN:9789811047862
9811047863
9789811047855
9811047855
Notes:Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed July 27, 2017).
Summary:This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variational, projection and iterative gradient methods, which, when applied to nonlinear problems, use the procedure of linearization of the original non-linear equations. These methods are not universal and require a different solution for each problem or class of problems.However, in many cases the combination of the methods shown in this book leads to more efficient algorithms for solving important applied problems.To record these algorithms in a unified form, the first part of the book and its appendix devote considerable attention to compiling the general operator equations, which include (as particular cases) equations for vibrations in rods, plates, shells and three-dimensional bodies. They are mainly considered to be periodic or nearly periodic oscillations, which correspond to stationary or nearly stationary regimes of machinery operation. In turn, the second part of the book presents a number of solutions for selected applications. .
Other form:Print version: Fridman, Vladimir. Theory of elastic oscillations. Singapore : Springer, 2017 9811047855 9789811047855