Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring Support
[Purposes] This work is conducted to understand the nonlinear vibration response characteristics of axially moving beams with intermediate support constraints. [Methods] The dynamic equation of the system was established on the basis of Hamilton principle, and the motion equation was discretized int...
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| Format: | Article |
| Language: | English |
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Editorial Office of Journal of Taiyuan University of Technology
2025-03-01
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| Series: | Taiyuan Ligong Daxue xuebao |
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| Online Access: | https://tyutjournal.tyut.edu.cn/englishpaper/show-2388.html |
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| author | WANG Ze HUANG Haijie HAO Xin |
| author_facet | WANG Ze HUANG Haijie HAO Xin |
| author_sort | WANG Ze |
| collection | DOAJ |
| description | [Purposes] This work is conducted to understand the nonlinear vibration response characteristics of axially moving beams with intermediate support constraints. [Methods] The dynamic equation of the system was established on the basis of Hamilton principle, and the motion equation was discretized into a nonlinear ordinary differential equation by using the Galerkin method. By combining the improved arclength extension method with the incremental harmonic balance method, the dynamic equations of the system were solved, and the dynamic response characteristics of the system under different parameters were analyzed. [Findings] It is shown that the overall system response exhibits a hard spring characteristic. The support spring has a significant impact on the dynamics of the axially moving beam. In addition, when the axial movement speed is within a certain range, the system exhibits internal resonance, and the system shows more complex response characteristics. |
| format | Article |
| id | doaj-art-8d9de4cb01e24c668ff5f006e136de2e |
| institution | DOAJ |
| issn | 1007-9432 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Editorial Office of Journal of Taiyuan University of Technology |
| record_format | Article |
| series | Taiyuan Ligong Daxue xuebao |
| spelling | doaj-art-8d9de4cb01e24c668ff5f006e136de2e2025-08-20T02:49:50ZengEditorial Office of Journal of Taiyuan University of TechnologyTaiyuan Ligong Daxue xuebao1007-94322025-03-0156228128710.16355/j.tyut.1007-9432.202304031007-9432(2025)02-0281-07Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring SupportWANG Ze0HUANG Haijie1HAO Xin2School of Applied Science, Taiyuan University of Science and Technology, Taiyuan Shanxi, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, Taiyuan Shanxi, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, Taiyuan Shanxi, China[Purposes] This work is conducted to understand the nonlinear vibration response characteristics of axially moving beams with intermediate support constraints. [Methods] The dynamic equation of the system was established on the basis of Hamilton principle, and the motion equation was discretized into a nonlinear ordinary differential equation by using the Galerkin method. By combining the improved arclength extension method with the incremental harmonic balance method, the dynamic equations of the system were solved, and the dynamic response characteristics of the system under different parameters were analyzed. [Findings] It is shown that the overall system response exhibits a hard spring characteristic. The support spring has a significant impact on the dynamics of the axially moving beam. In addition, when the axial movement speed is within a certain range, the system exhibits internal resonance, and the system shows more complex response characteristics.https://tyutjournal.tyut.edu.cn/englishpaper/show-2388.htmlaxially moving beamspring constraintforced vibrationincremental harmonic balance method |
| spellingShingle | WANG Ze HUANG Haijie HAO Xin Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring Support Taiyuan Ligong Daxue xuebao axially moving beam spring constraint forced vibration incremental harmonic balance method |
| title | Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring Support |
| title_full | Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring Support |
| title_fullStr | Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring Support |
| title_full_unstemmed | Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring Support |
| title_short | Forced Vibration of Supercritical Axially Moving Beam with an Intermediate Spring Support |
| title_sort | forced vibration of supercritical axially moving beam with an intermediate spring support |
| topic | axially moving beam spring constraint forced vibration incremental harmonic balance method |
| url | https://tyutjournal.tyut.edu.cn/englishpaper/show-2388.html |
| work_keys_str_mv | AT wangze forcedvibrationofsupercriticalaxiallymovingbeamwithanintermediatespringsupport AT huanghaijie forcedvibrationofsupercriticalaxiallymovingbeamwithanintermediatespringsupport AT haoxin forcedvibrationofsupercriticalaxiallymovingbeamwithanintermediatespringsupport |