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《Journal of Vibration and Shock》 2011-09
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Study on 1:1 internal resonance of thin laminated circular cylindrical shells

WANG Yan-qing1,2,LIANG Li2,GUO Xing-hui1,LOU Ling-na1(1.Institute of Applied Mechanics,Northeastern University,Shenyang 110004,China;2.School of Resources & Civil Engineering,Northeastern University,Shenyang 110004,China)  
A cantilever thin laminated circular cylindrical shell was investigated.Based on Donnell's nonlinear shallow shell theory,nonlinear wave equation of the system was derived,in which the effects of dynamic Young's modulus,damping and geometric large-amplitude were considered.Galerkin method was used to disperse the wave equation.Applying averaging method,the nonlinear response of the system was solved with two neighboring axial modes participation,and the results obtained were compared with those gained by numerical method.The effects of different parameters on the complex dynamic response were also investigated.The results show that: due to the frequencies of the two modes selected are very close,there exists 1∶ 1 internal resonance in the system;the complex vibration response of the system is affected by exciting force evidently,but it is not very sensitive to damping.
【Fund】: 国家自然科学基金;; 上海宝钢集团公司联合资助(50574019)
【CateGory Index】: O322
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