Dynamic nonlinear behavior of transported flexible body supported by rollers

在本研究中，我们重点研究了柔性梁在带弹性支承的滚轮运输时的动力行为。提出了用有限段法和绝对节点坐标法对带弹性支承的滚子对传递柔性梁进行数值模拟的方法。仿真结果表明，所提出的建模方法能够很好地反映梁的参数失稳特性，如梁长随时间的连续变化以及梁的往复频率接近固有频率的两倍时横向振动的迅速增大等。讨论了往复幅值和频率这两个重要参数对相关应用设计的影响。往复幅值越大，越接近双固有频率，横向振动增加越明显。

In this study, we focused the dynamic behavior of a flexible beam when it is transported by rollers with elastic support. The modeling methodology for the numerical simulation of a transported flexible beam that passes thorough the couple of rollers with elastic support is proposed using both the finite segment method and absolute nodal coordinate formulation.The simulation results ensures that the proposed modeling method attains the important dynamic features in the parametric instability in the beam such as continuous change in the beam length with time and the rapid increase in the transverse vibration when the reciprocating frequency of the beam is closed to twice of natural frequency. The effect of the reciprocating amplitude and frequency, which are the important parameters in designs of the concerned applications, are also discussed. The larger reciprocating amplitude and the closer to the twice-natural frequency lead to more significant increase in the transverse vibration.