Leading Chaos to Period by Two Unfeedback Methods in a Two-degree-of-freedom Vibrating System with Two Rigid Constraints  

作　　者：GOU Xiang-feng LUO Guan-wei LV Xiao-hong 

机构地区：[1]School of Mechatronics Engineering, Lanzhou Jiaotong University, Lanzhou 730070,P. R. China

出　　处：《International Journal of Plant Engineering and Management》2011年第1期21-27,共7页国际设备工程与管理（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.50475109 and No.10572055;by the Natural Science Foundation of Gansu Province under Grant No.0803RJZA012

摘　　要：The equations of the asymmetrical periodic motion in a two- -of-freedom vibrating system with two rigid constraints are constructed analytically. Its Poincard 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 di- agrams of Poincarg 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 solu- tion. 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- -of-freedom vibrating system with two rigid constraints are constructed analytically. Its Poincard 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 di- agrams of Poincarg 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 solu- tion. 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.

关 键 词：VIBRO-IMPACT mapping periodic motion CHAOS chaos controlling 

分 类 号：O32[理学—一般力学与力学基础] O415.5[理学—力学]