Informational entropy in simulation of one-dimensional random fields

• Autorzy: Opoka Sz. , Walukiewicz H.
• Konferencja: 8th Workshop of the Polish Society of Computer Simulation (30.08-1.09.2001, Gdańsk-Sobieszewo, Poland)
• Języki publikacji: EN

Abstrakty

EN

The entropy H of a continuous distribution with probability density function f* is defined as a function of the number of nodes (n) in a one-dimensional scalar random field. For the second order theory this entropy is expressed by the determinants of the covariance matrices and simulated for several types of correlation functions. In the numerical example the propagation of the entropy for the static response of linear elastic, randomly loaded beam has been considered. Two unexpected results have been observed: - function H(n) is entirely different for differentiable (m.s.) and non-differentiable fields, with the same parameters in the correlation functions, - in some cases, the greater randomness at the input (measured by the entropy) does not lead to the greater randomness at the output.

Słowa kluczowe

EN

random fields; information entropy; beam structure; discretization

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2002
• Tom: Vol. 6, No 3
• Strony: 379--385
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Opoka Sz.

• Institute of Fluid Machinery, Polish Academy of Sciences, J. Fiszera 14, 80-952 Gdańsk, Poland

autor

Walukiewicz H.

• Department of Structural Mechanics, Gdansk University of Technology, Narutowicza 11/12, 80-952 Gdansk, Poland

Bibliografia

• [1] Sobczyk K 1996 Stochastic Differential Equations, WNT, Warsaw (in Polish)
• [2] Opoka S 2001 Simulation and Classification of One-dimensional Random Fields in Continuum Mechanics, MSc Thesis, Gdansk University of Technology (in Polish)
• [3] Walukiewicz H 1997 Proc. of Euromech 372 (Ditlevsen O and Mitteau J, Eds.) Clermont- Ferrand, Blaise Pascal University, France, pp. 165-170
• [4] Walukicwicz H, Bielewicz E and Górski J 1997 Int. J. Computers and Structures 64 (1-4) 491
• [5] Wieczorkowski R and Zieliński R 1997 Computer Generators of Random Numbers, WNT, Warsaw (in Polish)