On the justification of Gaussian heuristic method in the theory of random vibration
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 metho...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
1979-12-01
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| Series: | Vietnam Journal of Mechanics |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/9894 |
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| _version_ | 1850043968520192000 |
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| author | Nguyen Cao Menh |
| author_facet | Nguyen Cao Menh |
| author_sort | Nguyen Cao Menh |
| collection | DOAJ |
| description |
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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| format | Article |
| id | doaj-art-a812b2dc0f6942a1bb4caf242782be9d |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 1979-12-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-a812b2dc0f6942a1bb4caf242782be9d2025-08-20T02:55:06ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58821979-12-0113-410.15625/0866-7136/9894On the justification of Gaussian heuristic method in the theory of random vibrationNguyen Cao Menh 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. https://vjs.ac.vn/index.php/vjmech/article/view/9894 |
| spellingShingle | Nguyen Cao Menh On the justification of Gaussian heuristic method in the theory of random vibration Vietnam Journal of Mechanics |
| title | On the justification of Gaussian heuristic method in the theory of random vibration |
| title_full | On the justification of Gaussian heuristic method in the theory of random vibration |
| title_fullStr | On the justification of Gaussian heuristic method in the theory of random vibration |
| title_full_unstemmed | On the justification of Gaussian heuristic method in the theory of random vibration |
| title_short | On the justification of Gaussian heuristic method in the theory of random vibration |
| title_sort | on the justification of gaussian heuristic method in the theory of random vibration |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/9894 |
| work_keys_str_mv | AT nguyencaomenh onthejustificationofgaussianheuristicmethodinthetheoryofrandomvibration |