On the justification of Gaussian heuristic method in the theory of random vibration

Authors

  • Nguyen Cao Menh

DOI:

https://doi.org/10.15625/0866-7136/9894

Abstract

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

Issue

Section

Research Paper

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