直交異方性合板偏平シェルの力学特性 : ローラ支持辺の横滑りもしくは伸縮の影響

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Continued from the previous papers^<1)2)>, the mechanical characteristics of plywood shallow shells with roller supported edges are investigated. Especially, "the influence of the restraint of sliding along the edges or expansion of the edges", which is closely related to "the effect of the edge beams", is analysed. Since it is very difficult to solve the fundamental equations (1) and (2) precisely for the geometrically nonlinear analysis^<3)> of the orthotropic shallow shells, the authors attempted to get the numerical solution of them, as shown in the previous paper, by applying the finite difference method^<3)4)> with the aid of the large scale digital computers (FACOM 230-60 and -75, Kyoto Univ.), and succeeded in solving them with good accuracy. To compare the behavior of the orthotropic plywood shells with that of isotropic shells, the isotropic elastic moduli which are equivalent to those of the orthotropic shells were derived (Eqs. (3) -(19)) . The influence of the restraint of sliding on the deformation rigidity of the shells is greater in the case of Ortho. 45° (the cross laminated shells with face grain inclined 45' to x-edge) than in the case of Ortho. 0° or 90° (Table I. Fig. 1). When the sliding along the edges is restrained, the rigidity of Ortho. 45° is nearly equal or a little higher than that of the isotropic shells, and much higher than that of Ortho. 0° or 90°. The rigidity of the parallel laminated cylindrical shells is lower than that of the cross laminated shells, and the parallel laminated shells are destroyed by the tensile membrane stress under a considerably low load (Table I, Figs. 1 and 2). In the case of the rectangular shells, the more the ratio of the side lengths, the less the influence of the edge restraint of the Ortho. 45° shells becomes (Table III). And the optimum face grain angle in which the rigidity is the highest changes gradually from 45° to 0° with an increase of the ratio of the side lengths (Table III), The maximum deflection under a central concentrated load is about 3 times larger than that under the uniformly distributed same load, and in the case of Ortho. 45° and the isotropic cylindrical shells, the ratio is much larger. However, the deflection of Ortho, 45° shells under a central concentrated load is about a half of that of Ortho. 0° or 90° (Tables IV and V).
社団法人日本材料学会の論文
1977-05-15

直交異方性合板偏平シェルの力学特性 : ローラ支持辺の横滑りもしくは伸縮の影響

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