An Investigation of the Initial Resisting Mechanisms of Circular Hyperbolic Thin Shells

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Many parts of marine structures are constituted of thin shell components, which by way of structural design or due to functional requirements may possess a negative Gaussian curvature. The load resisting mechanism of such shells are expectedly different from shells with positive Gaussian curvatures, and this aspect is studied in this research using the circular hyperbolic shell as a typical example. The Thin shell is defined here in the monoclinically convected coordinate system and considered to be subjected to a uniform follower load. The numerical accuracy and practical significance of all the theoretical formulations have already been substantiated through various simulations. In the simultaneous equations governing the equilibrium of shells, the presence of terms related to curvatures and their consequential factors create the distinctive aspect of 'Form Effect ', which would obviously be rendered more complicated by a negative Gaussian curvature. The resisting mechanisms of zero and positive Gaussian curvature shells have been examined earlier in detail through a similar study using the partial cylindrical and spherical shells. The present paper elaborates on the initial resisting mechanisms of circular hyperbolic shells by studying the share of different component terms associated with the extensional and bending stiffness factors, separately and in various details, to draw out an overall picture of the total load resisting equilibrium picture. All the possible combinations of circular hyperbolic curvatures are analyzed in a schematic division using a simultaneous measure based on the curvature invariants of shells. Compatible curvature ranges of hyperbolic shells are compared with the partial cylindrical and spherical shells to bring out some clear distinctions between the resisting mechanisms of each. These results are believed to be helpful in understanding the resisting mechanisms of hyperbolic shells in a clear perspective of both qualitative and quantitative terms, which would serve as a guideline for design and analysis.
社団法人日本船舶海洋工学会の論文

An Investigation of the Initial Resisting Mechanisms of Circular Hyperbolic Thin Shells

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