1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS
The subharmonic response of one third order of Duffing oscillator under harmonic and random excitations is investigated for the first time by a technique combining the stochastic averaging method, the equivalent linearization method, and the technique of auxiliary function for Fokker-Planck equation...
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2014-12-01
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| Series: | Advanced Engineering Research |
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| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/348 |
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| author | N. D. Anh Vilor Lavrentyevich Zakovorotny D. N. Hao N. Х. Chiem |
| author_facet | N. D. Anh Vilor Lavrentyevich Zakovorotny D. N. Hao N. Х. Chiem |
| author_sort | N. D. Anh |
| collection | DOAJ |
| description | The subharmonic response of one third order of Duffing oscillator under harmonic and random excitations is investigated for the first time by a technique combining the stochastic averaging method, the equivalent linearization method, and the technique of auxiliary function for Fokker-Planck equation. The averaged equations are linear zed so that the stationary density function of the approximate response can be found exactly by the technique of auxiliary function. The one third order subharmonic response obtained by the present technique is validated by numerical simulation. The significant contribution of this work is that it may lead to a new trend in investigating subharmonic oscillators in random nonlinear systems. |
| format | Article |
| id | doaj-art-6cc8bb46daa9494a9f657968d7bf4267 |
| institution | Kabale University |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2014-12-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-6cc8bb46daa9494a9f657968d7bf42672025-08-20T03:57:12ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532014-12-01144394910.12737/68163411/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONSN. D. Anh0Vilor Lavrentyevich Zakovorotny1D. N. Hao2N. Х. Chiem3Institute of Mechanics, Hanoi, VietnamDon State Technical University, RussiaUniversity of Information Technology, HochiMinh City, VietnamUniversity of Le Quy Don, Hanoi, VietnamThe subharmonic response of one third order of Duffing oscillator under harmonic and random excitations is investigated for the first time by a technique combining the stochastic averaging method, the equivalent linearization method, and the technique of auxiliary function for Fokker-Planck equation. The averaged equations are linear zed so that the stationary density function of the approximate response can be found exactly by the technique of auxiliary function. The one third order subharmonic response obtained by the present technique is validated by numerical simulation. The significant contribution of this work is that it may lead to a new trend in investigating subharmonic oscillators in random nonlinear systems.https://www.vestnik-donstu.ru/jour/article/view/348duffing oscillator, subharmonic, averaging method, equivalent linearization, auxiliary function, harmonic excitation, random excitation. |
| spellingShingle | N. D. Anh Vilor Lavrentyevich Zakovorotny D. N. Hao N. Х. Chiem 1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS Advanced Engineering Research duffing oscillator, subharmonic, averaging method, equivalent linearization, auxiliary function, harmonic excitation, random excitation. |
| title | 1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS |
| title_full | 1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS |
| title_fullStr | 1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS |
| title_full_unstemmed | 1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS |
| title_short | 1/3 SUBHARMONIC RESPONSE OF DUFFING OSCILLATOR UNDER PERIODIC AND RANDOM EXCITATIONS |
| title_sort | 1 3 subharmonic response of duffing oscillator under periodic and random excitations |
| topic | duffing oscillator, subharmonic, averaging method, equivalent linearization, auxiliary function, harmonic excitation, random excitation. |
| url | https://www.vestnik-donstu.ru/jour/article/view/348 |
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