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《Journal of Vibration and Shock》 2011-09
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Stability control of a coupled nonlinear torsional vibration system

LIU Hao-ran1,ZHU Zhan-long2,SHI Pei-ming2,HOU Dong-xiao2 (1.College of Information Engineering Yanshan University,Qinhuangdao 066004,China; 2.College of Electrical Engineering Yanshan University,Qinhuangdao 066004,China )  
Considering the nonlinear stiffness of a torsional vibration system with three degrees of freedom,a nonlinear torsional vibration equation containing coupled terms was established.With time-delay control,the method of multiple scales was employed to obtain the analytical solutions of time-delay dynamic system when primary resonance and 1∶1 internal resonance occur simultaneously.The necessary and sufficient conditions of the stability of system were deduced by using the Routh-Hurwitz criterion.Moreover,the stability of the coupled system was well-controlled by choosing appropriate time-delay parameters,and the numerical results were presented to confirm the analytical predictions.
【Fund】: 国家自然科学基金(51005196);; 河北省自然科学基金(F2010001317 E2010001262)
【CateGory Index】: O322
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