Vibrations of mechanical systems with regular structure




Preface

In this book, regular structures are defined as periodic structures consisting of

repeated elements (translational symmetry) as well as structures with a geometric

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 difficulties

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 dimension

reduction of model and revealing the dominant parameters that determine its

dynamics and form its energy nucleus.


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