摘要
利用哈密尔顿原理在积分型本构模型描述基础上建立粘弹性移动梁的控制方程。利用多尺度法和Galerkin离散法得到轴向运动粘弹性梁面内1∶2内振动的平均方程。数值模拟方法研究轴向运动粘弹性梁系统在不同参数下的多脉冲跳跃振动,绘出轴向运动粘弹性梁面内横向振动多脉冲跳跃振动的相图及对应的波形图。
Utilizing Hamihon＇s principle and the constitution relations in an integral form, the governing equations of motion for an axially moving viscoelastic beam is derived. Then, using the method of multiple scales, the averaged equation for the viscoelastic beam under the case of 1 ： 2 internal resonance is obtained. By means of Galerkin＇s approac, the partial differential governing equation is solved. The muhi-impuls jumping vibration of the beam is analyzed numerically. And the crresponding phase diagrams and wave form diagrams are plotted.
出处
《噪声与振动控制》
CSCD
北大核心
2009年第2期51-54,共4页
Noise and Vibration Control
基金
华北科技学院科研基金资助2005(28-B)
关键词
振动与波
粘弹性移动梁
积分型本构关系
混沌运动
vibration and wave
moving viscoelastic beam
constitutive relation in an integral form
chaotic motion
