Authors:
- Offers an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems
- Includes the variational, projection, and iterative gradient methods
- Provides examples of solutions for selected applications
- Includes supplementary material: sn.pub/extras
Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)
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Table of contents (12 chapters)
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Front Matter
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Equations and Methods
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Front Matter
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Back Matter
About this book
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 stat
ionary or nearly stationary regimes of machinery operation. In turn, the second part of the book presents a number of solutions for selected applications.Authors and Affiliations
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Los Angeles, CA, USA
Vladimir Fridman
About the author
Sviyazheninov Eugene Dmitrievich was born on April 8, 1957 in Leningrad (St.Petersburg), USSR. In 1979 he graduated from the Physics and Mechanics Department of the Leningrad Polytechnic Institute (LPI). In 1985 he received a PhD degree in Engineering, and in 1970 – Doctor of Sciences in Engineering. Since 1979 to 1986 – Research Fellow of LPI. From 1986 through the present time – Leading Scientist at the Institute for Problems in Mechanical Engineering of the Academy of Sciences of the USSR and Russia. In 2001 he worked as a visiting Scientist at Ford Motor Company, Scientific Research Laboratory, Dearborn, USA. Area of scientific interests: research, development and inventory activities in mechanics, machinery, dynamics, vibration, noise, shock, impact, vibroisolation systems, constructi
ons, automotive, electricity, electrodynamics, microwave electronics, acoustics, mechatronics. In total he has published more than 90 articles and has got more than 20 patents for inventions.
Bibliographic Information
Book Title: Theory of Elastic Oscillations
Book Subtitle: Equations and Methods
Authors: Vladimir Fridman
Translated by: Eugene Sviyazheninov
Series Title: Foundations of Engineering Mechanics
DOI: https://doi.org/10.1007/978-981-10-4786-2
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-10-4785-5Published: 28 July 2017
Softcover ISBN: 978-981-13-5230-0Published: 12 January 2019
eBook ISBN: 978-981-10-4786-2Published: 20 July 2017
Series ISSN: 1612-1384
Series E-ISSN: 1860-6237
Edition Number: 1
Number of Pages: XIII, 257
Number of Illustrations: 8 b/w illustrations, 3 illustrations in colour
Topics: Vibration, Dynamical Systems, Control, Computational Science and Engineering, Solid Mechanics