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The equations of the asymmetrical periodic motion in a two-degree-of-freedom vibrating system with two rigid constraints are constructed analytically.Its Poincaré mapping equation is established too.Periodic motions of the system and their routes to chaos are also illustrated by numerical simulation.The ranges of the system excited frequency from periodic motions to chaotic motions are obtained.The chaotic motions of the system are shown by diagrams of Poincaré mapping,phase portraits and diagrams of bifurcation.The chaos controlling methods by the addition of constant load and the addition of phase are dissertated and analyzed numerically by the numerical solution.The chaos of the system is controlled by the two methods.The allowable range controlling variables and the steady orbits of the controlled system are obtained.
The equations of the asymmetrical periodic motion in a two-degree-of-freedom vibrating system with two rigid constraints are constructed analytically. Let’s Poincaré mapping equation is established too. Periodic motions of the system and their routes to chaos are also illustrated by numerical simulation The ranges of the system excited frequency from periodic motions to chaotic motions are the. The chaotic motions of the system are shown by diagrams of biorhythming. The chaos controlling methods by the addition of constant load and the addition of phase are dissertated and analyzed numerically by the numerical solution. chaos of the system is controlled by the two methods. allowable range controlling variables and the steady orbits of the controlled system are obtained.