Short Communication: A technique for investigating nonlinear vibrations
In this short communication the main ideas of the method of equivalent linearization and dual conception are further extended to suggest a new technique for solving nonlinear differential equations. This technique allows improving the accuracy when the nonlinearity is strong and getting nonlinear f...
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House for Science and Technology
2012-05-01
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| Series: | Vietnam Journal of Mechanics |
| Subjects: | |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/928 |
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| _version_ | 1850204544795934720 |
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| author | Nguyen Dong Anh |
| author_facet | Nguyen Dong Anh |
| author_sort | Nguyen Dong Anh |
| collection | DOAJ |
| description |
In this short communication the main ideas of the method of equivalent linearization and dual conception are further extended to suggest a new technique for solving nonlinear differential equations. This technique allows improving the accuracy when the nonlinearity is strong and getting nonlinear features of responses. For illustration the Duffing oscillator is considered to demonstrate the effectiveness of the proposed technique.
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| format | Article |
| id | doaj-art-9c58d0a7c7484c1eadf051c9aba7cfe6 |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2012-05-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-9c58d0a7c7484c1eadf051c9aba7cfe62025-08-20T02:11:16ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822012-05-0134210.15625/0866-7136/34/2/928Short Communication: A technique for investigating nonlinear vibrationsNguyen Dong Anh0Institute of Mechanics, VAST, Vietnam In this short communication the main ideas of the method of equivalent linearization and dual conception are further extended to suggest a new technique for solving nonlinear differential equations. This technique allows improving the accuracy when the nonlinearity is strong and getting nonlinear features of responses. For illustration the Duffing oscillator is considered to demonstrate the effectiveness of the proposed technique. https://vjs.ac.vn/index.php/vjmech/article/view/928Equivalent linearzation methoddual conceptionDuffing oscillator |
| spellingShingle | Nguyen Dong Anh Short Communication: A technique for investigating nonlinear vibrations Vietnam Journal of Mechanics Equivalent linearzation method dual conception Duffing oscillator |
| title | Short Communication: A technique for investigating nonlinear vibrations |
| title_full | Short Communication: A technique for investigating nonlinear vibrations |
| title_fullStr | Short Communication: A technique for investigating nonlinear vibrations |
| title_full_unstemmed | Short Communication: A technique for investigating nonlinear vibrations |
| title_short | Short Communication: A technique for investigating nonlinear vibrations |
| title_sort | short communication a technique for investigating nonlinear vibrations |
| topic | Equivalent linearzation method dual conception Duffing oscillator |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/928 |
| work_keys_str_mv | AT nguyendonganh shortcommunicationatechniqueforinvestigatingnonlinearvibrations |