期刊文献+

一类非线性系统的超谐共振分析

Analysis of Super Harmonic Resonance for a Class of Nonlinear Systems
下载PDF
导出
摘要 针对工程实际中存在的duffing非线性系统,采用了多尺度法进行研究。首先建立了考虑duffing振子的系统非线性动力学方程,应用多尺度法得到了系统在超谐共振情况下的的幅频方程,并研究了系统的幅频曲线。结果表明:阻尼增大会对超谐共振有抑制作用,并使产生亚谐共振的频率减小。 To analyse the duffing nonlinear systems that widely existing in actual engineering,the multi-scale method is used to study in this paper.First,a nonlinear dynamic equation with duffing oscillator is established.The amplitude-frequency equation of the system under super harmonic resonance is obtained by using the multi-scale method,and the amplitude frequency curve of the system is studied in this paper.
出处 《工业控制计算机》 2018年第6期52-53,共2页 Industrial Control Computer
基金 石河子大学应用基础研究青年项目(2015ZRKXYQ05)
关键词 非线性系统 DUFFING振子 多尺度法 共振分析 nonlinear system duffing oscillator multi-scale method resonance analysis
  • 相关文献

参考文献4

二级参考文献42

  • 1J. Xu, X.H. Huang, L. Wang, W. Li and K.J. Chen (National Laboratory of Solid State Microstructures and Departmeat of Physics, Nanjing University, Nanjing 210093, China) J.B. Xu (Department of Electronic Engineering, The Chinese University of Hong Kong, S.THE IMPROVEMENT OF ELECTRON FIELD EMISSION FROM AMORPHOUS CARBON FILMS DUE TO HYDROGEN PLASMA CHEMICAL ANNEALING EFFECT[J].Acta Metallurgica Sinica(English Letters),2001,14(6):497-500. 被引量:15
  • 2钱长照,唐驾时.一类非自治时滞反馈系统的分岔控制[J].物理学报,2006,55(2):617-621. 被引量:22
  • 3陈自力,唐驾时,邓旻涯.集中荷载作用下的悬索自振频率分析[J].噪声与振动控制,2006,26(5):41-44. 被引量:12
  • 4王荣昌 俞载道 等.地基土与多层剪切型结构的非线性动力分析[J].同济大学学报,1988,16(1):45-53.
  • 5Nielsen S R K, Kirkegard P H. Super and combinatorial harmonic response of flexible elastic cables with small sag [J]. J. Sound Vib., 2002,251(4):79-102.
  • 6Rega G, Lacarbonara W, Nayfeh AH. Reduction methods for nonlinear vibrations of spatially continuous systems with initial curvature[J]. Solid Mechanics and Its Applications,2000,77 ( 6 ) : 235 - 246.
  • 7Luongo A, Di Egidio A, Paolone A. On the proper form of the amplitude modulation equations for resonant systems [ J ]. Nonlinear Dyn, 2002,27 (3) : 237 -254.
  • 8Nayfeh A H, Balachandran B. Modal interactions in dynamical and structural systems [ J ]. Appl. Mech. Rev, 1989,42(2) : 175 -201.
  • 9Arafat H N, Nayfeh A H. Nonlinear responses of suspended cables to primary resonance excitations [ J ]. J. Sound Vib, 2003,266 ( 3 ) : 325 - 354.
  • 10Rao G V, Iyengar R. Internal resonance and nonlinear response of a cable under periodic excitation [ J ]. J. Sound Vib, 1991,149 (2) 25 - 41.

共引文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部