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基于非线性能量阱的双频激励非线性系统减振

孙斌 吴志强

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. doi: 10.21656/1000-0887.370379
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. doi: 10.21656/1000-0887.370379
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. doi: 10.21656/1000-0887.370379
Citation: 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. doi: 10.21656/1000-0887.370379

基于非线性能量阱的双频激励非线性系统减振

doi: 10.21656/1000-0887.370379
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;11672349)
详细信息
    作者简介:

    孙斌(1987—),男,博士生(E-mail: bsun_2015@163.com);吴志强(1968—),男,教授,博士,博士生导师(通讯作者. E-mail: zhiqwu@tju.edu.cn).

  • 中图分类号: O328

Vibration Suppression of Nonlinear Systems Under Dual-Frequency Excitations With Nonlinear Energy Sink

Funds: The National Basic Research Program of China (973 Program)(2014CB046805); The National Natural Science Foundation of China(11372211;11672349)
  • 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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出版历程
  • 收稿日期:  2016-12-14
  • 修回日期:  2016-12-28
  • 刊出日期:  2017-11-15

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