On the justification of Gaussian heuristic method in the theory of random vibration
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DOI:
https://doi.org/10.15625/0866-7136/9894Abstract
Recently in the problems of random vibration, the heuristic method, in which output process is supposed to be Gaussian when Gaussian input process is given, is applied [1, 2]. This method is called the “Gaussian heuristic method”. This paper deals with the justification of “Gaussian heuristic method”, form that two following important conclusions are proved:
- “Gaussian heuristic method” gives density function of probability with the first order approximation with respect to the small parameter ε.
- Applying this method we get mean values and second order correlation functions in second order approximation with respect to the small parameter ε.
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Published
30-12-1979
How to Cite
Menh, N. C. (1979). On the justification of Gaussian heuristic method in the theory of random vibration. Vietnam Journal of Mechanics, 1(3-4), 1–11. https://doi.org/10.15625/0866-7136/9894
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Research Article
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