Almost sure stability of the thin-walled beam subjected to end moments | Zendy

Ratko Pavlović | Zendy; Predrag Kozić | Zendy

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Almost sure stability of the thin-walled beam subjected to end moments

Author(s) -

Ratko Pavlović,

Predrag Kozić

Publication year - 2003

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam0303193p

Subject(s) - moment (physics) , mathematical analysis , beam (structure) , stability (learning theory) , mathematics , second moment of area , plane (geometry) , harmonic , harmonic function , constant (computer programming) , cross section (physics) , boundary (topology) , amplitude , gaussian , physics , classical mechanics , geometry , quantum mechanics , machine learning , computer science , optics , programming language

The dynamic stability problem of the thin-walled beams subjected to end moments is studied. Each moment consists of constant part and time-dependent stochastic non-white function. Closed form analytical solutions are obtained for simply supported boundary conditions. By using the direct Liapunov method almost sure asymptotic stability condition is obtained as function of stochastic process variance, damping coefficient, geometric and physical parameters of the beam. The stability regions for I-cross section and narrow rectangular cross section are shown in variance - damping coefficient plane when stochastic part of moment is Gaussian zero-mean process with variance σ2 and harmonic process with amplitude A

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