帯板要素法による曲がり桁の座屈解析

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Buckling damages have been observed at gunwale or bilge corners in ship structures. These structures can be regarded as curved girders in the analysis. The finite element method, as the most powerful and versatile tool of solution in structural analysis, is now well known and established. However it has disadvantages on a large size of equations and on a relatively long computing time. The finite strip method was proposed to reduce the size of equations and computing time. The usefulness of the method have been reported in the field of stress and buckling analyses of structures with plates and shallow shells. In this paper, the finite strip method was applied to the local buckling analysis of curved girders subjected to bending loads. The curved finite strip element and displacement functions employed here were proposed by Y.K. Cheung. The equilibrium equation in a curved strip element was derived in a polar coordinate. Analytical solutions were employed here as the stresses in a curved strip element, and they were derived by Timoshenko and Ohno. A discussion was made about the characteristics of radial and thercumferential stresses in a curved web. Parametric study was made with this method to analyze the effects of curvatures of girders, and widths and thickness of flanges on buckling loads. The results were presented here in figures, and a discussion was made about them too. Conclusions of this paper were as follows: (a) A buckling load and its mode of a curved girder changes very much depending on the radial stresses in it. (b) The number of equations and computing time were confirmed to be greatly reduced by this method than by a finite element method.
社団法人日本船舶海洋工学会の論文
1987-08-25

帯板要素法による曲がり桁の座屈解析

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