TY - JOUR
AU - Menh, Nguyen Cao
PY - 1979/12/30
Y2 - 2024/05/28
TI - On the justification of Gaussian heuristic method in the theory of random vibration
JF - Vietnam Journal of Mechanics
JA - Vietnam J. Mech.
VL - 1
IS - 3-4
SE - Research Article
DO - 10.15625/0866-7136/9894
UR - https://vjs.ac.vn/index.php/vjmech/article/view/9894
SP - 1-11
AB - <p>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:</p> <p>- “Gaussian heuristic method” gives density function of probability with the first order approximation with respect to the small parameter ε.</p> <p>- Applying this method we get mean values and second order correlation functions in second order approximation with respect to the small parameter ε.</p>
ER -