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Vibrations of the Beam with Variable Cross‐Section Caused by Moving Stochastic Load
Author(s) -
MazurŚniady K.,
Śniady P.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<452::aid-pamm452>3.0.co;2-b
Subject(s) - variable (mathematics) , beam (structure) , vibration , cross section (physics) , section (typography) , probabilistic logic , physics , mathematics , mechanics , geometry , mathematical analysis , optics , computer science , statistics , acoustics , quantum mechanics , operating system
Abstract We present the problem of vibrations of a beam with variable geometry which are caused by stochastic moving load. The approach is based on concepts of the tolerance averaged model [4]. In this way we formulate the averaged equations of the structured beam which describe the length‐scale effect. Using the averaged equations we obtain the probabilistic characteristics of the beam with periodically variable geometry.