@article{Menh_1979, place={Hanoi, Vietnam}, title={On the justification of Gaussian heuristic method in the theory of random vibration}, volume={1}, url={https://vjs.ac.vn/index.php/vjmech/article/view/9894}, DOI={10.15625/0866-7136/9894}, abstractNote={<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>}, number={3-4}, journal={Vietnam Journal of Mechanics}, author={Menh, Nguyen Cao}, year={1979}, month={Dec.}, pages={1–11} }