単一プリーツ断面を垂直および水平に回転した場合の開角度と断面二次モーメントの関係

スポンサーリンク

概要

• 論文の詳細を見る

• Formulae have been given for the second moment or cross section I of a unit pleat as the functions of the half angle of a pleat's opening θ, the half width of a unit pleat l and the thickness of cloth t, assuming that the surface of the cloth was flat. These formulae could be presented as educational tools to make a comparison of the bending between the canti lever beam of clothing material and a unit pleat. For the vertical setting of a unit pleat under the condition of tan θ⪈t/l, the values given by the derived equation I_Λ=lt(l^2cos^2θ+t^2/sin^2θ)/6 were inputed into an Excel program written by VBA. As the half angle θ reached zero, the value of I_Λ diverged to infinity. For a half angle of θ more than about 5° both with l=2.5 and 4cm, the value of I_Λ for t=0.06cm was approximately comparable to two times that for t=0.03cm, as expected, since I_Λ had a proportional relation to the thickness t for t≪l. In addition, the decreasing tendency of I_Λ for t=0.06cm to that for t=0.03cm were almost the same within the range of θ=15-55° for l=4cm. For the horizontal setting of a unit pleat under the condition of tan θ⪈t/l, the values of I_<<> given by the equation I_<<>=2l^3t sin^2θ/3 had a proportional relation to the thickness t, increased rapidly with l, and showed the same dependence on the half angle θ. It has been considered that the divergence of I_Λ arose near θ=0° due to a lack of free opening of a unit pleat for the condition of tan θ⪈t/l. After the deletion of one bent top and two side edges, the equation for vertical setting was written as I_<∧1>, deleted=lt(l^2cos^2θ+t^2sin^2θ)/6,yielding a definite value at θ=0°. Furthermore, the difference between this and the former equation for the vertical setting was lt^3(sin^<-2>θ-sin^2θ)/6 with the values of 547lt^3 at θ=1°, 21.9lt^3 at θ=5° and 5.5lt^3 at θ=10°. With these decreasing tendencies and the adding condition of t≪l, the effect of the deletions has not been observed for the not so small angle of θ. Moreover, for the horizontal setting of this model without one left bend and two edges each at the upper and bottom position, the equation was written as I_<<, deleted>=(2l^3t sin^2θ+6l^2t^2cosθsinθ+2lt^3cos^2θ)/3,reaching the equation given by I_<<>=2l^3tsin^2θ/3 for t≪l.

• 社団法人日本家政学会の論文
• 2002-02-15

著者

• 高橋 和雄

  和洋女子大学家政学部

• 高橋 和雄

  和洋女子大学

関連論文

• 色相,明度,彩度および大きさを変えた場合のBenussiの環の視認性
• コンピュータグラフィックスによる編地の編成と配色
• コンピュータグラフィックスによる編地の編成と配色
• 被服製作指導のための事例別補正方法のデータベース化
• Structural Changes in Gelation Film Induced by Drawing in an Aqueous Methanol Solution
• 昇温過程におけるポリプロピレン結晶化度の赤外線吸収スペクトルによる動的検討〔英文〕
• 繰り返し伸長による残留歪からみた糸の疲労
• CADを用いた近世ドレスの再現
• 単一プリーツ断面を垂直および水平に回転した場合の開角度と断面二次モーメントの関係
• 被服学の分野からみた家政学 (<視点> 家政学を考える 8)
• 劇場 街の科学者たち : Drury Lane, 松原一郎著, 朝日新聞社, 1,600円, 1992年4月発行
• 顔料プリント地の色別・素材別の洗濯堅ろう度

もっと見る 閉じる

スポンサーリンク