板構造物の大変形解析 : その1

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In this paper, a method is presented of theoretical analysis on the non-linear problem of arbitrary shaped plate structures. Finite element method is applied in the analysis with use of the incremental load procedure by taking into consideration of the path dependent characteristics of the problem. Load balance check is made at each step in order to reduce cummulative errors in the equilibrium of forces at nodal point. Since the formulation of the analysis is based on the principle of incremental virtual work, this method is to be applied for the analysis on the elasto-plastic behavior of the structures, so as to estimate both postbuckling and ultimate strength of the plate structures. Three dimensional analysis is made by considering six degrees of freedom at each nodal point, and triangular plate element with three sub-elements is used by introducing a conforming shape function for the element. Beam element is also used for stiffening members of the structures. As an example of the theoretical analysis numerical calculations are made on the following models such as, initially deformed square plates, square plates with a circular hole, a girder with round corner and columns of H-type cross section, and comparison is made between the theoretical predictions and test results on the specimens. It is found from the comparison that the balance check is necessary to obtain a reasonable prediction by the analysis and that the effect of mesh size on the accuracy of the analysis is not pronounced in elastic range. It is then concluded from the comparison that the present method can be generally applied to the analysis of elasto-plastic behavior of arbitrary shaped plate members for the purpose of estimating the buckling, yielding and ultimate strength of the plate structures.
社団法人日本船舶海洋工学会の論文

板構造物の大変形解析 : その1

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