Absolute Nodal Coordinate法による梁の多体動力学解析に関する研究 : Mean Axisの導出とその応用

概要

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There are three basic finite element formulations which are used in the dynamics of flexible beams. These are the floating frame of reference approach, the finite segment method and the large rotation vector approach. Recently, the absolute nodal coordinate formulation was proposed by A. A. Shabana et al. In this formulation, elastic forces are lead by approximating the slope of the arbitrary point on the neutral axis of the beam in terms of the slope of the simple support axis of the beam. In this paper, we propose the mean axis of the planar Bernoulli-Euler beam for the absolute nodal coordinate approach. The origin and the orientation of this axis are selected so as to minimize the total deformation of the concerned beam. And the selected axis can be simply described by the nodal coordinates of the beam element. Using the mean axis instead of the simple support axis, the elastic forces of the beam element may be more precisely calculated. Finally, we show numerical examples to demonstrate effectiveness of this approach.
一般社団法人日本機械学会の論文
2001-08-25