Vibrations of mechanical systems with regular structure / Liudmila Ya. Banakh, Mark L. Kempner.
"In this book, regular structures are de ned as periodic structures consisting of repeated elements (translational symmetry) as well as structures with a geom- ric symmetry. Regular structures have for a long time been attracting the attention of scientists by the extraordinary beauty of their...
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| Main Authors: | , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Dordrecht ; New York :
Springer,
[2010]
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| Series: | Foundations of engineering mechanics.
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| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | "In this book, regular structures are de ned as periodic structures consisting of repeated elements (translational symmetry) as well as structures with a geom- ric symmetry. Regular structures have for a long time been attracting the attention of scientists by the extraordinary beauty of their forms. They have been studied in many areas of science: chemistry, physics, biology, etc. Systems with geometric symmetry are used widely in many areas of engineering. The various kinds of bases under machines, cyclically repeated forms of stators, reduction gears, rotors with blades mounted on them, etc. represent regular structures. The study of real-life engineering structures faces considerable dif culties because they comprise a great number of working mechanisms that, in turn, consist of many different elastic subsystems and elements. The computational models of such systems represent a hierarchical structure and contain hundreds and thousands of parameters. The main problems in the analysis of such systems are the dim- sion reduction of model and revealing the dominant parameters that determine its dynamics and form its energy nucleus. The two most widely used approaches to the simulation of such systems are as follows: 1. Methods using lumped parameters models, i.e., a discretization of the original system and its representation as a system with lumped parameters [including nite-element method (FEM)]. 2. The use of idealized elements with distributed parameters and known analytical solutions for both the local elements and the subsystems."--Publisher's website. |
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| Physical Description: | 1 online resource (xi, 249 pages). |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 3642031250 9783642031250 1299769136 9781299769137 3642031269 9783642031267 |