513 Absolute Nodal Coordinate 法による梁の動力学解析に関する研究(Mean Axis を用いた弾性力の導出)

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 by the slope of the simple support axis of the beam. In this paper, we propose the elastic forces for the absolute nodal coordinate formulation that are lead by approximating the slope of the arbitrary point on the neutral axis of the beam by the slope of the mean axis of the beam. The mean axis condition is simply described by the nodal coordinate vector of the beam. Numerical examples are demonstrated for this method by using planar flexible beam problems.
2000-09-01