Influence of the mode number on the stochastic stability regions of the elastic beam |
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Authors: | Predrag Kozić Ratko Pavlović Goran Janevski Zoran Golubović |
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Institution: | (1) Mechanical Engineering Faculty, University of Niš, A. Medvedeva 14, 18000 Niš, Serbia |
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Abstract: | The moment Lyapunov exponents and Lyapunov exponent of a two-dimensional system under stochastic parametric excitation are
studied. A perturbation approach is used to obtain explicit expressions for these exponents in the presence of small intensity
noises. Approximate analytical results for the pth moment Lyapunov exponents are compared with the numerical values obtained by the Monte Carlo simulation approach. The results
are applied to the study of the almost-sure and the moment stability of the stationary solutions of the elastic beam subjected
to the stochastic axial load. The boundaries of the almost-sure and the moment stability of the elastic beam as the function
of the damping coefficient, spectral density of the stochastic force and mode number are obtained. |
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