補足エネルギーによる鋼骨組構造の弾塑性解析法

概要

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Hitherto, the limit analysis which affords only maximum load has been frequently used for plastic analysis of a framed structure. Framed structures of ships may easily crack due to local stress and strain concentrations before attaining maximum load. Therefore the elastic plastic analysis through loading process up to limit load is necessary. But for highly redundant structure, it is easy to raise numerical difficulties in carrying out the straightforward calculations because of the nonlinear characteristics. In the previous paper, authors proposed a method of analyzing the strength of framed structures by means of elastic-plastic hinge method to simplify the analysis and save the computing time. This method is based on the assumptions of the elastic-plastic hinges which are equivalent to elastic-plastic deformation in a member and the elastic beam theory between nodes. This paper presents an another method by means of complementary energy instead of using the elastic-plastic hinge. The end moment versus end rotational angle relationships for an individual member of the structure subjected to elastic-plastic deformation, i.e. the slope deflection equations which are the linear approximations are used as usual matrix method iteratively until end moments converge. The results of some applications are shown comparing the exact solutions for specific cases.
社団法人日本船舶海洋工学会の論文
1981-08-27