The nonlinear free vibration analysis of rotating viscoelastic sandwich beam is presented in this article.The control equation of the rotating viscoelastic sandwich beam was established based on KelvinVoigt constitutive equation and large deflection theory.Partial differential equation of vibration was transformed into an ordinary differential one using Galerkin method.The ordinary differential equation of nonlinear vibration was solved by multiple scale method.Systems of equations were obtained by comparing coefficient of power of the micro parameter.First approximate solution of the nonlinear free vibration of rotating viscoelastic sandwich beam could be acquired by solving the systems of equations as well as eliminating the secular terms. Numerical simulation was used to discuss the effect of thickness of the sandwich layer, variation of rotating velocity and radius of the hub on nature frequency.The results indicated that natural frequency of the rotating viscoelastic sandwich beam increased with the increase of rotating velocity and radius of the hub while decreased with the increase of thickness of the sandwich layer.
蒋宝坤,李映辉,李亮.旋转粘弹性夹层梁非线性自由振动特性研究[J].动力学与控制学报,2013,11(3):241~245; Jiang Baokun, Li Yinghui, Li liang. Vibration analysis of rotating viscoelastic sandwich beam[J]. Journal of Dynamics and Control,2013,11(3):241-245.