机构地区: 北京工业大学机械工程与应用电子技术学院
出 处: 《动力学与控制学报》 2013年第1期42-45,共4页
摘 要: 用微分求积数值方法求解了轴向加速粘弹性梁的横向振动控制方程,其方程是一复杂的非线性偏微分方程.并在数值结果的基础上利用分叉图分析了轴向定常加速度以及轴向加速度变化幅值对轴向加速粘弹性梁的非线性动力学行为的影响. The differential quadrature method (DQM) was developed to solve numerically the nonlinear partial differential 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.