Analysis of Harmonically Forced Duffing Oscillator with Time Delay State Feedback by Incremental Harmonic Balance Method
文献类型：期刊论文
| 作者 | Wu H(吴晗)2,3; Ceng XH(曾晓辉)2,3; Liu YB(刘玉标)2,3; Lai J(赖姜)1; Lai J(赖姜) ; Zeng XH(曾晓辉); Liu YB(刘玉标)
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| 刊名 | JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
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| 出版日期 | 2021-03-30 |
| 页码 | 13 |
| 关键词 | Incremental harmonic balance method Duffing oscillator Time delay Primary and 1 3 subharmonic resonance Continuous time approximation |
| ISSN号 | 2523-3920 |
| DOI | 10.1007/s42417-021-00293-y |
| 通讯作者 | Zeng, Xiaohui(zxh@imech.ac.cn) |
| 英文摘要 | Purpose Periodic solutions of a harmonically forced Duffing oscillator with time-delay state feedback are investigated using the incremental harmonic balance method. Method In the process of solving, the explicit effect matrix of the time delay term was derived. The stability of the periodic solutions was determined by a method which combines the continuous time approximation and multivariable Floquet theory. Results and Conclusion On this basis, the frequency-amplitude response curve and stability characteristics of the primary resonance and the 1/3 subharmonic resonance were obtained. The stable results were compared with results obtained by the numerical method, which demonstrated the effectiveness and accuracy of the incremental harmonic balance method for the analysis of strongly nonlinear equations with time delays. The influence of the time delay and feedback control parameters on the primary and 1/3 subharmonic resonance is investigated. The periodicity of the effect of the time delay is also discussed. |
| 分类号 | Q4 |
| 资助项目 | National Key R&D Program of China[2016YFB1200602] ; National Natural Science Foundation of China[51805522] ; National Natural Science Foundation of China[11672306] ; National Natural Science Foundation of China[51490673] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22020100] ; Informatization Plan of the Chinese Academy of Sciences[XXH13506-204] |
| WOS研究方向 | Engineering ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000635038600001 |
| 资助机构 | National Key R&D Program of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Informatization Plan of the Chinese Academy of Sciences |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/86341]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 作者单位 | 1.Nucl Power Inst China, Chengdu 610213, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Wu H,Ceng XH,Liu YB,et al. Analysis of Harmonically Forced Duffing Oscillator with Time Delay State Feedback by Incremental Harmonic Balance Method[J]. JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES,2021:13. |
| APA | 吴晗.,曾晓辉.,刘玉标.,赖姜.,Lai J.,...&Liu YB.(2021).Analysis of Harmonically Forced Duffing Oscillator with Time Delay State Feedback by Incremental Harmonic Balance Method.JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES,13. |
| MLA | 吴晗,et al."Analysis of Harmonically Forced Duffing Oscillator with Time Delay State Feedback by Incremental Harmonic Balance Method".JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES (2021):13. |
入库方式： OAI收割
来源：力学研究所
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