| 基于非线性能量阱的双频激励非线性系统减振 |
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| 引用本文： | 孙斌,吴志强.基于非线性能量阱的双频激励非线性系统减振[J].应用数学和力学,2017,38(11):1240-1250. |
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| 作者姓名： | 孙斌 吴志强 |
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| 作者单位： | 1天津大学 机械工程学院 力学系;天津市非线性动力学与混沌控制重点实验室, 天津 300072;2中国民航大学 航空工程学院 飞机系, 天津 300300 |
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| 基金项目： | 国家重点基础研究发展计划(973计划)(2014CB046805)，国家自然科学基金(11372211 |
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| 摘 要： | 针对某型民用航空发动机双频带激励特点，建立了单自由度线性振子耦合非线性能量阱（nonlinear energy sink，NES）的动力学模型.根据典型双转子发动机在巡航状态下低、高特征频率比（1∶4.74），为系统设定双频带简谐外激励.利用四阶Runge-Kutta算法，研究了耦合NES振子时系统的振动抑制特征，并从外激励频率对系统主振子动能、系统总体能量的影响等方面，与未耦合NES系统、耦合线性动力吸振器两种情况下的数值计算结果进行对比分析.研究结果表明NES对双频带外激励具有更好的振动抑制效果，用NES降低航空发动机振动有可行性.
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| 关 键 词： | NES 民用航空发动机 双频带 振动抑制 |
| 收稿时间： | 2016-12-14 |
Vibration Suppression of Nonlinear Systems Under Dual-Frequency Excitations With Nonlinear Energy Sink |
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| SUN Bin,WU Zhi-qiang.Vibration Suppression of Nonlinear Systems Under Dual-Frequency Excitations With Nonlinear Energy Sink[J].Applied Mathematics and Mechanics,2017,38(11):1240-1250. |
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| Authors: | SUN Bin WU Zhi-qiang |
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| Affiliation: | 1Department of Mechanics, School of Mechanical Engineering, Tianjin University; Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, P.R.China;2Department of Aircraft, School of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, P.R.China |
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| Abstract: | In view of the dual-frequency excitation characteristics of a certain type of civil aeroengines,the dynamic model of a single DOF linear oscillator coupled with the nonlinear energy sink (NES) was established.At the low to high characteristic frequency ratio (1:4.74) of the typical dual-rotor engine in cruise flight,the system was subjected to a dual-frequency harmonic excitation.The 4th-order Runge-Kutta algorithm was employed to study the vibration suppression effects of the system with the coupled NES.In the aspects of the influences of the external excitation frequencies on the kinetic energy of the main oscillator and the total energy of the system,etc,the numerical results were compared among the system with the NES,the one without the NES and another one coupled with a linear dynamic vibration absorber.The work shows that the NES has better vibration suppression effects on the dual-frequency excitation,and is feasible for the reduction of the vibration of aero-engines. |
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| Keywords: | NES civil aero-engine dual-frequency vibration suppression |
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