Browsing by Author "Nguyen Dong Anh"
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Item Open Access An approach to the problem of closure in non-linear stochastic mechanics(1994) Nguyen Dong Anh; Schiehlen, WernerAn approach combining the method of moment equations and the statistical linearization technique is proposed for analysis of the response of non-linear mechanical systems to random excitation. The adaptive statistical linearization procedure is developed for obtaining a more accurate mean square of responses. For these, a Duffing oscillator and an oscillator with cubic non-linear damping subject to white noise excitation are considered. It is shown that the adaptive statistical linearization proposed yields good accurate results for both weak and strong non-linear stochastic systems.