ON THE PERIOD-DOUBLING BIFURCATIONS IN THE DUFFING OSCILLATOR WITH NEGATIVE LINEAR STIFFNESS

被引：8

作者：

ASFAR, KR

MASOUD, KK

机构：

[1] Department of Mechanical Engineering, Jordan University of Science and Technology, Irbid

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1992年 / 114卷 / 04期

关键词：

D O I：

10.1115/1.2930289

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The phenomenon of period-doubling bifurcations in the Duffing's oscillator with negative linear stiffness is investigated with the aid of approximate analytical methods and computer simulation. Making use of a Hill's type variational equation together with the ideas drawn out from Floquet theory, it is found that a particular type of subharmonic instability is the one that is responsible for the occurrence of period-doublings in this system. This fact is confirmed by the good agreement between the true critical forcing frequency at which bifurcations are first observed, and the one obtained theoretically. Finally, a threshold criterion for the onset of period-doublings is also proposed and compared with computer simulation results.

引用

页码：489 / 494

页数：6

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