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Vibrations of mechanical systems with regular structure (Hardcover, 2010 ed.)
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Vibrations of mechanical systems with regular structure (Hardcover, 2010 ed.)
Series: Foundations of Engineering Mechanics
Expected to ship within 12 - 17 working days
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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.
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