モード合成法によるANCF3次元梁の自由度の低次元化（ベルヌーイ・オイラー梁について）

概要

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This paper presents a reduction method of degrees of freedom for the absolute nodal coordinate formulation (hereafter called ANCF), in the case of three-dimensional beam, by applying a component mode synthesis method. We paid attention that the bending stiffness term expressed by the continuum mechanics approach of the ANCF beam element is constant, and proposed a method called C-ANCF which applies Craig-Bampton method to this term. Three numerical examples that compare the C-ANCF and the conventional ANCF are demonstrated to verify the accuracy of the C-ANCF. As a result, it is shown that the C-ANCF is able to be extended to three-dimensional beam behavior by verifying that C-ANCF shortens computing time, while keeping the acceptable accuracy of the expression characteristics of ANCF on large rotation and large deformation in the numerical examples. It is also shown that shortening of the computing time in the case of three-dimensional beam becomes larger than that in the case of two-dimensional beam.