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Application of the Stochastic Renewal Processes in the Dynamics of Beams under Moving Load
Author(s) -
Śniady P.,
Sieniawska R.,
Żukowski S.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310522
Subject(s) - probabilistic logic , dynamics (music) , stochastic process , point (geometry) , stochastic dynamics , stochastic modelling , moving load , constant (computer programming) , flow (mathematics) , renewal theory , statistical physics , computer science , mechanics , mathematics , physics , engineering , structural engineering , geometry , statistics , finite element method , acoustics , artificial intelligence , programming language
The problem of stochastic dynamics of elastic beams of deterministic parameters loaded by the trafic flow is considered. Each vehicle is modelled by one or more random point forces travelling with the same constant speed. As a model of vehicle arrivals the renewal stochastic processes are adopted. An analytical technique is developed to determine the two first probabilistic characteristics of the beams response. Numerical examples are provided.