An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms
This paper proposes a numerical procedure based on the well-known Newmark integration method to determine initial conditions for the periodic solution of a system of linear differential equations with time-periodic coefficients. Based on this, steady-state periodic vibrations of mechanisms with ela...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2016-03-01
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| Series: | Vietnam Journal of Mechanics |
| Subjects: | |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/5928 |
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| _version_ | 1850241749978447872 |
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| author | Nguyen Van Khang Nguyen Phong Dien Nguyen Sy Nam |
| author_facet | Nguyen Van Khang Nguyen Phong Dien Nguyen Sy Nam |
| author_sort | Nguyen Van Khang |
| collection | DOAJ |
| description |
This paper proposes a numerical procedure based on the well-known Newmark integration method to determine initial conditions for the periodic solution of a system of linear differential equations with time-periodic coefficients. Based on this, steady-state periodic vibrations of mechanisms with elastic elements governed by linearized differential equations with time-periodic coefficients can be conveniently calculated. The proposed procedure is demonstrated by a dynamic model of a planar four-bar mechanism with the flexible coupler.
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| format | Article |
| id | doaj-art-dbb305e64235409da54ab5293e12b8cc |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2016-03-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-dbb305e64235409da54ab5293e12b8cc2025-08-20T02:00:29ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822016-03-0138110.15625/0866-7136/38/1/5928An efficient numerical procedure for calculating periodic vibrations of elastic mechanismsNguyen Van Khang0Nguyen Phong Dien1Nguyen Sy Nam2Hanoi University of Science and Technology, VietnamHanoi University of Science and Technology, VietnamHanoi University of Science and Technology, Vietnam This paper proposes a numerical procedure based on the well-known Newmark integration method to determine initial conditions for the periodic solution of a system of linear differential equations with time-periodic coefficients. Based on this, steady-state periodic vibrations of mechanisms with elastic elements governed by linearized differential equations with time-periodic coefficients can be conveniently calculated. The proposed procedure is demonstrated by a dynamic model of a planar four-bar mechanism with the flexible coupler. https://vjs.ac.vn/index.php/vjmech/article/view/5928Steady-state vibrationelastic mechanismNewmark integration methomode superposition methoddynamic stability |
| spellingShingle | Nguyen Van Khang Nguyen Phong Dien Nguyen Sy Nam An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms Vietnam Journal of Mechanics Steady-state vibration elastic mechanism Newmark integration metho mode superposition method dynamic stability |
| title | An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms |
| title_full | An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms |
| title_fullStr | An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms |
| title_full_unstemmed | An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms |
| title_short | An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms |
| title_sort | efficient numerical procedure for calculating periodic vibrations of elastic mechanisms |
| topic | Steady-state vibration elastic mechanism Newmark integration metho mode superposition method dynamic stability |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/5928 |
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