Mechanical Vibratory Systems with Hierarchical Structure. Simulation and Calculation Methods

Chapter
First Online:
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

Real-life machines, such as gas-turbine and liquid propellant rocket engines, machine tools, etc., comprise a large number of working mechanisms. In turn, these mechanisms consist of various elastic subsystems and components. The study of the dynamic processes in such systems can lead to exhaustive results only when the system is treated as a whole entity and the interactions between the all substructures and elements are taken into consideration. The computational models of such systems with a hierarchical structure contain hundreds and thousands of parameters. The cardinal problem in this respect is above all the simulation of a large system and then the revealing of a relatively small number of variables that determine its dynamics and constitute its energy “nucleus.”

Keywords

Stiffness Matrix Natural Mode Dynamic Stiffness Inertia Matrix Static Compliance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Mechanical Engineering Research InstituteMoscowRussia
  2. 2.RehovotIsrael

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