Wrapping method of sphere by a smocked woven fabric

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  • スモック技法を利用した織物の曲面形成について
  • スモック ギホウ オ リヨウ シタ オリモノ ノ キョクメン ケイセイ ニ ツイテ

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It was already reported about how to wrap curved surfaces with woven fabrics under the conditions of non-tensile strain of composed yarns. In this study, we propose a new method to cover a sphere with a pleated rectangular fabric. A pleated fabric by smocked technique is shown schematically in Figs, 1~2. When the pleated fabric is elongated at a right angle to the pleats, a series of rhombic cells are composed as shown in Fig. 3. Fig. 10. shows the series of rhombic to put on the sphere’s equator. The series of rhombic on either side of the central ones are strained along the meridians, and the tops of each rhombic are concentrated in the sphere’s polar opposites. As a condition to meet this relation, we demonstrated theoretically that 9 rhombic on each series, ei. 27 rhombi are essential.

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