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TASK Quarterly

LENGTH DISTRIBUTION OF FUZZY-END SEGMENTS

Abstract

We have calculated and discussed the probability density distributions of lengths of fuzzy-end segments, i.e. segments the ends of which assume random positions. We performed our calculations for several simple cases in 1, 2 and 3 dimensions: one end fixed, the other assuming a random position, and both ends at random positions. The obtained statistical data may serve as reference data for calculations of stochastic-geometrical properties of complex systems, such as conformations of complicated bolted constructions with clearances (in structure mechanics) or energy transfer processes between molecules in diluted systems (in physics).

Keywords:

fuzzy-end segments, stochastic geometry

Details

Issue
Vol. 10 No. 3 (2006)
Section
Research article
Published
2006-09-30
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Author Biographies

GRZEGORZ BERGMAŃSKI,
Gdansk University of Technology, Faculty of Technical Physics and Applied Mathematics, Department of Solid State Physics




ELŻBIETA URBAŃSKA-GALEWSKA,
Gdansk University of Technology, Faculty of Civil and Environmental Engineering



JAROSŁAW RYBICKI,
Gdansk University of Technology, Faculty of Technical Physics and Applied Mathematics, Department of Solid State Physics; TASK Computer Centre




Authors

  • SANDRO FRIGIO

    Universita’ di Camerino, Istituto di Matematica e Informatica
  • GIANCARLO COSIMI

    Universita’ di Camerino, Istituto di Matematica e Informatica
  • GRZEGORZ BERGMAŃSKI

    Gdansk University of Technology, Faculty of Technical Physics and Applied Mathematics, Department of Solid State Physics
  • ELŻBIETA URBAŃSKA-GALEWSKA

    Gdansk University of Technology, Faculty of Civil and Environmental Engineering
  • JAROSŁAW RYBICKI

    Gdansk University of Technology, Faculty of Technical Physics and Applied Mathematics, Department of Solid State Physics; TASK Computer Centre

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