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.
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页数:7
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