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Randomly excited vibratory systems with variable structure

  • J. Trębicki
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 47)

Abstract

The object of the paper is the analysis of a vibratory system that consists of many randomly excited different vibratory sub-systems. Each of such a vibratory sub-system and its analytical description can be identified as a certain structure (or mode) of the main system. Randomness of the environment, in which the system works, or randomness hidden in its elements involves the random switching between the structures. The appropriate stochastic differential equations give the global probability description of the system with random switching between different sub-systems (structures).

Keywords

Stochastic Differential Equation Maximum Entropy Method Vibratory System Normalize Density Function Random Switching 
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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References

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    Kazakov I.E.,Statistical Dynamic of System with Variable Structure, Nauka, 1997, (in Russian)Google Scholar
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    Kazakov I.E., Artem’ev V.M., Optimization of Dynamical System with Variable Structure, Mir, 1980, (in Russian)Google Scholar
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    Kazimierczyk P., Maximum-likelihood parametric identification technique for objects of randomly varying structure, Proceedings of IUTAM Symposium, pp. 321-332, Turin 1992Google Scholar
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    Vladimirov V.S., Equations of Mathematical Physics, Moscow, Nauka 1988, (in Russian)zbMATHGoogle Scholar
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    Gihman I., Skorochod A.V., Stochastic Differential Equations, NewYork 1972.zbMATHGoogle Scholar
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    K.Sobczyk J. Trębicki Non-stationary response of stochastic systems via maximum entropy principle, Proceedings of IUTAM Symposium, Trondheim 1995, (submitted to publication)Google Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • J. Trębicki
    • 1
  1. 1.Technological Research, Polish Academy of SciencesCenter of Mechanics, Institute of FundamentalWarsawPoland

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