An Estimation of the F.R.L. Draped Figures for Sheets by Using the .PI.-number of the Similarity Rule

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A similarity rule of the draped figures for sheets had been investigated by using a model of the F.R.L. drape test. An assumption has been made that the relation between own-weight (Pw) and the resistant forces could be expressed by the following formula: Pw = P1 + P2 + P3 where, P1: resistant force against the bending, P2: resistant force against the compression, P3: resistant force against the torsion and the other. In this paper, an investigation has been made of the other resistant force containing in P3 by using the π-number of the similarity rule. Results obtained were as follows: 1) By using the line-joint model replaced the empty part with a variant sheet, the resistant forces have been found of the 3-dimensional bending and the elasticity in the P3 in addition to the torsional resistance. The π-number (π1) of the 3-dimensional bending could be equal to π1, π2 and π3 corresponding to P1, P2 and P3 respectively and expressed b the same formula: π=π1=π2=π3=π4=L/3√EI/w where, L: representative length, EI: bending rigidity, w: weight per unit area. In additon, the π-number (π5) of the elasticity could be expressed by the following formula: π5 = L/ (E/ρ) where, E: Young's modulus, ρ: density. 2) The F.R.L. drape test carried out with the π by the fixed value has revealed that the F.R.L. draped figures could be classified according to the value of the π5.
社団法人日本繊維製品消費科学会の論文