一般的H・Pシエルの曲げ解析と力学的特性に関する研究(1)

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タイトル別名
  • ON THE BENDING ANALYSIS AND THE MECHANICAL CHARACTERISTIES OF THE GENERAL HYPERBOLIC PARABOLOIDAL SHELL (I)
  • イッパンテキ H Pシエル ノ マゲ カイセキ ト リキガクテキ トクセイ ニ カンスル ケンキュウ 1

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Among the studies related to the hyperbolic paraboloidal shell, particulary, it is reported here on the correlation of bending analysis between the general hyperbolic paraboloidal shell (2Z=A^2・X^2-B^2・Y^2) and usual hyperbolic paraboloidal shell (Z=kξ_1ξ_2) and its mechanical characteristics. If both sides of the general hyperbolic paraboloidal shell are cut off by a oblique plane and a curved surface is. constructed in the central part, the hyperbolic paraboloidal shell is formed by the hyperbola around the shell and concave or convex parabola in the central part. Therefore, the deformation and the condition of stress-distribution of the shell depend upon the curvature of a concave or a convex curve, in othere words, the variations of antirise h_x and rise h_y. In the case of h_x=h_y and of the same span, the general hyperbolic paraboloidal shell and usual hyperbolic paraboloidal shell should form the same curved surface on the same coordinates. Accordingly, utilizing these characteristics, the relationships of bending solutions between both shells were made forecast. Besides, from the viewpoints of engineering, a full-sized structure was taken up as an example and the bending numerical analysis on the general hyperbolic paraboloidal shell was performed by calculus of finite difference under the limited condition and its mechanical characteristics were explained distinctly. Moreover, the relationships about the edge beam and the axial forces of tie beam and the deflection at the center of shell due to the restraint rate in the toe part of the shell were cleared up and then the behaviour of stress-distribution was discussed.

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