Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
799302 | Mechanics Research Communications | 2010 | 5 Pages |
Abstract
The global bifurcations and chaotic motions are investigated analytically for an arch structure with parametric and forced excitation. The critical curves separating the chaotic and non-chaotic regions are drawn, which show that the system in the case of 1:1 resonance is more easily chaotically excited than the case of 1:2 resonance. There exist “uncontrollable regions” or “chaotic bands” for the system as the natural frequency varies. There also exists a “controllable frequency” for the system with linear and cubic parametric excitation. The system can be chaotically excited through infinite subharmonic bifurcations of odd/even orders. Numerical results agree with the analytical ones.
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Mechanical Engineering
Authors
Liangqiang Zhou, Yushu Chen, Fangqi Chen,