ロープのクロスオーバ形状の実測と解析の比較

概要

論文の詳細を見る
The cross-over of a rope wound around a drum in multi-layers is analyzed as a geometrically nonlinear problem of the linearly elastic rope by means of differential geometry and variational method with movable boundaries. The rope is assumed to be a thin and long elastic rod with a uniform circular cross-section and to be capable of large bend. The centerline of the cross-over is considered as a space curve, which is constrained by the surface of the rope of the lower layer. The work of the non-conservative tension and the bending energy of the cross-over are obtained by considering the parameters of the constraining surface. The boundaries condition are obtained by defining arc-length of the cross-over as a variables which presents movable boundaries, and by considering the geometrical boundaries at ends and the center point of cross-over. Euler equation of the variational problem is changed into an implicit form. The expression for the centerline of cross-over has been formulated, in which all parameters of a hoisting mechanism have been included in dimensionless form. Geometrical shape of the cross-over are measured in radius, winding lead and rotation angle of the drum. Using the theoretical result and measured bending stiffness, the radius, the z-axis and the arc-length of cross-over are calculated and compared with experimental data. The good correspondence with the theoretical analysis is obtained.
社団法人日本機械学会の論文
2000-05-25

ロープのクロスオーバ形状の実測と解析の比較

スポンサーリンク

概要

著者

関連論文

スポンサーリンク