Dynamic nonlinear behavior of transported flexible body supported by rollers

在这项研究中，我们集中在一个柔性梁的动态行为时，它是由辊输送与弹性支承。采用有限段法和绝对节点坐标法对柔性梁通过弹性支承辊对的过程进行了数值模拟。模拟结果表明，所提出的建模方法能够反映梁的参数失稳的重要动力学特征，如梁长随时间的连续变化和梁的刚度随时间的快速增加等梁的往复频率接近于固有频率的两倍时的横向振动。同时还讨论了往复运动的振幅和频率对振动特性的影响，这两个参数在相关应用的设计中是重要的。往复振幅越大，越接近二阶固有频率，横向振动的增加越显著。

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.