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Nondimensional modelling of 2D beam for slope discontinuity problem in ANCF
Journal of Mechanical Science and Technology ( IF 1.6 ) Pub Date : 2020-09-03 , DOI: 10.1007/s12206-020-0806-z
Jiheon Kang , Jaewook Lee , Jinseok Jang , Changyoung Choi , Kunwoo Kim

Various mechanical and structural systems possess slope discontinuity. Some bodies with slope discontinuity can be modeled using absolute nodal coordinate formulation, which can accurately express the rigid body mode when using the element and global shape functions. However, at the intersection of slope discontinuities, it is not easy to construct the equation of motion because the orientation changes. The problem of modeling at the intersection can be solved by defining the global slope vector in the body coordinate system instead of the element coordinate system. The analysis time in absolute nodal coordinate formulation is mostly greater than that in floating frame of reference formulation owing to the highly non-linear stiffness matrix. In this study, based on the work of Shabana and Mikkola, the analysis efficiency was demonstrated using the nondimensional model for the slope discontinuity problem in the absolute node coordinate system.



中文翻译:

ANCF边坡不连续问题二维梁的无维建模

各种机械和结构系统都具有边坡不连续性。可以使用绝对节点坐标公式对某些具有坡度不连续性的物体进行建模,当使用单元和整体形状函数时,这些公式可以准确地表示刚体模式。但是,在坡度不连续的相交处,构造运动方程并不容易,因为方向会发生变化。可以通过在体坐标系而不是元素坐标系中定义全局坡度矢量来解决相交处的建模问题。由于高度非线性刚度矩阵,绝对节点坐标公式的分析时间比参考公式的浮动框架的分析时间大得多。在这项研究中,基于Shabana和Mikkola的工作,

更新日期:2020-09-03
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