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Назва:
A hybrid asymptotic WKB-Galerkin method with application to the correlation analysis of stochastic behavior of non-linear systems with time-depended parameters
Колекція:
Міжнародні конференції » Нелинейная динамика
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стаття
Мова документа:
англійська
Додано у архів:
03.12.2013
Зведена інформація по документу:
Gristchak, V.Z. A hybrid asymptotic WKB-Galerkin method with application to the correlation analysis of stochastic behavior of non-linear systems with time-depended parameters [Текст] / Gristchak V.Z., Lysenko V.V. // Міжнародні конференції : Нелинейная динамика - НТУ "ХПИ", 2010.
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The method of double asymptotic expansion in aggregate with a hybrid WKB method on the base of the energy conservation law is examined in the frame of the correlation analysis of stochastic behavior of nonlinear system with time-depended parameters under casual loading. The application of the asymptotic approaches for the analysis of forced oscillations systems with variable factor of damping on the basis of the stochastic nonlinear Duffing's equation is done. The solution is searched as a series on degrees of small parameter at nonlinear component of initial equation (external asimptotic). In this case, the initial equation can be replaced by a recurrent sequence of linear equations. The solution of the given system can be found by a method of Green's functions and WKB method (internal asymptotic). The energy conservation law is used for improving solution. Moment functions of output process are defined by average of a series. The results of visualization of determenistic solution and correlation function of output process are given


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