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Number of results
2012 | 121 | 1A | A-174-A-178
Article title

Determining the Distribution of Values of Stochastic Impulses Acting on a Discrete System in Relation to Their Intensity

Content
Title variants
Languages of publication
EN
Abstracts
EN
In our previous works we introduced and applied a mathematical model that allowed us to calculate the approximate distribution of the values of stochastic impulses η_{i} forcing vibrations of an oscillator with damping from the trajectory of its movement. The mathematical model describes correctly the functioning of a physical RLC system if the coefficient of damping is large and the intensity λ of impulses is small. It is so because the inflow of energy is small and behaviour of RLC is stable. In this paper we are going to present some experiments which characterize the behaviour of an oscillator RLC in relation to the intensity parameter λ, precisely to λ E(η). The parameter λ is a constant in the exponential distribution of random variables τ_{i}, where τ_{i} = t_{i} - t_{i - 1}, i = 1, 2, ... are intervals between successive impulses.
Keywords
EN
Contributors
  • Faculty of Mathematics and Computer Science, Jagiellonian University, Gołębia 24, 31-007 Cracow, Poland
author
  • AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics Department of Mechanics and Vibroacoustics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
References
  • [1] M. Jabłoński, A. Ozga, Mechanics 25, 156 (2006)
  • [2] M. Jabłonski, A. Ozga, Arch. Acoust. 34, 601 (2009)
  • [3] M. Jabłoński, A. Ozga, Acta Phys. Pol. A 118, 74 (2010)
  • [4] M. Jabłoński, A. Ozga, T. Korbiel, P. Pawlik, Acta Phys. Pol. A 119, 977 (2011)
  • [5] S.O. Rice, Bell System Techn. J. 23, 1 (1944)
  • [6] J.B. Roberts, J. Sound Vibrat. 2, 336 (1965)
  • [7] J.B. Roberts, J. Sound Vibrat. 2, 375 (1965)
  • [8] J.B. Roberts, J. Sound Vibrat. 24, 23 (1972)
  • [9] J.B. Roberts, J. Sound Vibrat. 28, 93 (1973)
  • [10] J.B. Roberts, P.D. Spanos, Int. J. Non-Linear Mech. 21, 111 (1986)
  • [11] L. Takác, Acta Math. Hung. 5, 201 (1954)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n1a37kz
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