PERIOD-1 MOTIONS IN A TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATOR WITH PERIODIC EXCITATION

被引:0
|
作者
Luo, Albert C. J. [1 ]
Yu, Bo [1 ]
机构
[1] Southern Illinois Univ Edwardsville, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA
关键词
DYNAMICS; SYSTEM;
D O I
暂无
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
In this paper, analytical solutions for period-1 motions in a periodically forced, two-degrees-of-freedom system with a nonlinear spring are developed. The stability and bifurcation of the periodic motions are completed by the eigenvalue analysis. Both symmetric and asymmetric periodic motions are found in the system. Analytical solutions of both stable and unstable period-1 are presented. Finally, numerical simulations of stable and unstable motions in the two degrees of freedom systems are presented. The harmonic amplitude spectrums show the harmonic effects on periodic motions, and the corresponding accuracy of approximate analytical solutions can be observed.
引用
收藏
页数:7
相关论文
共 50 条
  • [41] PERIOD-1 MOTIONS TO CHAOS WITH VARYING EXCITATION FREQUENCY IN A PARAMETRICALLY DRIVEN PENDULUM
    Guo, Yu
    Luo, Albert C. J.
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2019, VOL 4, 2020,
  • [42] BIFURCATION TREE OF PERIOD-1 MOTION TO CHAOS IN A PENDULUM WITH PERIODIC EXCITATION
    Guo, Yu
    Luo, Albert C. J.
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2016, VOL 6, 2016,
  • [43] Study on the dynamics of two-degree-of-freedom fractional differential piecewise nonlinear systems under harmonic excitation
    Wen-Li, Ma
    Yuan, Li
    Mei-Qi, Wang
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2023, 149
  • [44] PERIOD-1 TO PERIOD-2 MOTIONS IN A PERIODICALLY FORCED NONLINEAR SPRING PENDULUM
    Luo, Albert C. J.
    Yuan, Yaoguang
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2019, VOL 8, 2020,
  • [45] Characteristics Analysis of the Motions of the Two-Degree-of-Freedom Direct Drive Induction Motor
    Xie, Lujia
    Si, Jikai
    Hu, Yihua
    Feng, Haichao
    Ni, Kai
    IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2020, 67 (02) : 931 - 941
  • [46] Dynamic Behaviors of a Two-Degree-of-Freedom Impact Oscillator with Two-Sided Constraints
    Li, Songtao
    Li, Qunhong
    Meng, Zhongchuan
    SHOCK AND VIBRATION, 2021, 2021
  • [47] A stability in the large investigation for a non-linear second order two-degree-of-freedom system with periodic excitation
    Lewis, Andrew
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2006, 41 (05) : 644 - 656
  • [48] An Approximate Solution for Period-1 Motions in a Periodically Forced Van Der Pol Oscillator
    Luo, Albert C. J.
    Lakeh, Arash Baghaei
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2014, 9 (03):
  • [49] ANALYTICAL PREDICTION OF PERIOD-1 MOTIONS IN A TIME-DELAYED, SOFTENING DUFFING OSCILLATOR
    Luo, Albert C. J.
    Xing, Siyuan
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2017, VOL 4B, 2018,
  • [50] Bifurcation dynamics of complex period-1 motions to chaos in an electromagnetically tuned duffing oscillator
    Chuan Guo
    Albert C. J. Luo
    International Journal of Dynamics and Control, 2022, 10 : 1361 - 1384