Studies on the Mechanical Characteristics of the Orthotropic Plywood Shallow Shells (I) : Numerical Analysis

MASUDA, Minoru, MAKU, Takamaro

It is proved that the coefficients BH and Dij of the fundamental equations of the layered orthotropic shells can be calculated from the measured moduli of elasticity (E_<Xc>, E_<Yc>,…) and (E_<Xb>, E_<Yb>,…), respectively, according to the procedure shown in (3-17) and (3-18). And this is better than the calculation using the elastic constants of veneers, because the former include the effects of the adhesion and the pressing. It is very difficult to solve precisely the fundamental equations when the axes of elastic symmetry do not coincide with those of coordinates (B_<16>≠0, B_<26>≠0, D_<16>≠0 or D_<26>≠0). The authers attempted to solve them by the application of the finite difference method and succeeded in solving them with good accuracy of the approximation. The application to the layered orthotropic shells is more complicated than that to the isotropic shells, so the unique techniques were needed. The characteristics of the layered orthotropic shallow shells with roller-supported edges were made clear by this numerical analysis, that is to say, the influence of the following problems were analysed, and the results are shown in the figures and the tables; 1) the curvature, 2) the shape of the shells (H. P., Cyl., E. P.), 3) ratio of the side lengths, 4) the moduli of elasticity, 5) the direction of the elastic principal axis, 6) uniform pressure and a concentrated load.

Studies on the Mechanical Characteristics of the Orthotropic Plywood Shallow Shells (I) : Numerical Analysis

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