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《Journal of Tianjin University》 2002-03
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On the Stability of Periodic Motion of an Unbalanced Elastic Rotor System Supported on Lubricated Bearings

ZHENG Hui ping, CHEN Yu shu, LIANG Jian shu (School of Mechanical Engineering,Tianjin University,Tianjin 300072,China)  
The stability of the periodic motion of unbalanced elastic rotor systems with oil film bearings is studied by the fast Galerkin method and Floquet theory in a relativelg wide range of parameters At the same time,numerical simulation is carried out and agreeable conclusions are got The study shows that the critical speed of Hopf bifurcation of the systems decreases when the rotor has quite good rigidity and increases when the rotor has a relatively poor rigidity for a better balance rotor The elasticity of the rotor has great effects on the shape of double period bifurcation sets,and different elasticitiesy of rotor have the stability area of the systems in parameter space changed completely When the rotor has fairly good rigidity the system has two kinds of dispersing way for the better balance rotor,whereas only one of them for the rotor with relatively poor rigidity When the rotor is balanced not so well,the systems have the same way to disperse
【Fund】: 国家重大自然科学基金资助项目 (1 9990 51 0 );; 国家重点基础研究专项经费资助项目 (G1 9980 2 0 31 6);; 博士点基金资助项目 (D0 990 1 )
【CateGory Index】: O322
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【Co-references】
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