The differential quadrature method (DQM) was developed to solve numerically the nonlinear partialdifferential equation of the nonlinear transverse vibration of an axially accelerating viscoelastic beam. Based on the numerical solutions, the nonlinear dynamical behaviors, such as bifurcations and chaotic motions of the nonlinear system, were investigated by use of Poincare map, phase portrait.
王冬梅,张伟,刘燕.用微分求积法分析轴向加速粘弹性梁的非线性动力学行为[J].动力学与控制学报,2013,11(1):42~45; Wang Dongmei, Zhang Wei, Liu Yan. Analysis on nonlinear dynamics of an axially accelerating viscoelastic beam Using DQM[J]. Journal of Dynamics and Control,2013,11(1):42-45.
