Reduction of System Matrices of Planar Beams in Absolute Nodal Coordinate Formulation by Component Mode Synthesis Method(Mechanical Systems)

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  • モード合成法を用いたANCF2次元梁のシステム行列の縮小(機械力学,計測,自動制御)
  • モード合成法を用いたANCF2次元梁のシステム行列の縮小
  • モード ゴウセイホウ オ モチイタ ANCF2ジゲンリョウ ノ システム ギョウレツ ノ シュクショウ

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Abstract

This paper presents a reduction method of system matrices for the absolute nodal coordinate formulation (hereafter called ANCF), in the case of planar flexible beam, by applying the component mode synthesis. We pay attention that the bending stiffness term expressed by the continuum mechanics approach of the ANCF beam element is constant, and apply Craig-Bampton method to this term. Numerical examples that compare the presented method and conventional ANCF are demonstrated to verify the validity of presented method. As a result, it is verified that the presented method represents the large deformation effect such as the dynamic stiffening due to centrifugal forces as well as the conventional ANCF. The presented method achieves the shortening of the computing time, while keeping the acceptable accuracy of the expression characteristics of ANCF on large rotation and large deformation.

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