Based on the general approach of Incremental Harmonic Balance method (IHBM), the behavior of nonlinear dynamic stability for viscoelastic plates subjected to inplane periodic excitation was investigated by converting the integrodifferential governing equations to differential ones. The dependence of the downward shift and contraction of principal instable regions on the viscose parameters of standard linear solid and vibration frequency of plates was examined. A simplified approach of direct application of Incremental Harmonic Balance method to integrodifferential equation of motion was given, and this approximate method was validated through the comparison of results obtained respectively by two kinds of application of IHBM.
彭凡,傅衣铭.粘弹性板的非线性动力稳定性分析方法[J].动力学与控制学报,2005,3(4):60~65; Peng Fan, Fu Yiming. Analysis method of nonlinear dynamic stability for viscoelastic plates[J]. Journal of Dynamics and Control,2005,3(4):60-65.