薄肉構造の離散化極限解析 : その4 : 平板剛体要素モデルによる衝撃崩壊解析

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The algorithm for the discrete limit analysis of general thin-walled structures proposed in the previous reports^<1),2)> is applied to the dynamic collapse problems of impulsively loaded plates and shells. The present algorithm allows the discontinuity of displacements on the interelement boundaries and it enables us to solve the problems on the limit strength of arbitrarily shaped thin-walled plate and shell structures taking geometrical as well as material nonlinearities into consideration. In the impact dynamics of structures the static analysis by the present algorithm is a great help to the investigation on the relation of the external loading energy (or the internal plastic work) and the magnitude of permanent displacements as supposed from the conventional rigid-plastic analysis^<3)>, however, in the present report the transient response analysis by the direct time-integration of the equation of motion is carried out in order to illustrate the usefulness of the present technique to the general nonlinear dynamic analysis. As numerical examples the dynamic collapse behaviors of the impulsively loaded strip, rectangular plates, circular cylindrical shells, hemispherical shell and cylindrical panel were simulated, the results of which were compared with the finite element and finite difference solutions, theoretical rigid-plastic solutions and experimental results presented in the litera-tures.^<11)17)> These numerical studies made it clear that the present algorithm can give qualitatively satisfied solutions for the dynamic plastic problems and treat about 130 spring-time steps per CPU second on a HITAC M-280H in the implicit time integration code.
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薄肉構造の離散化極限解析 : その4 : 平板剛体要素モデルによる衝撃崩壊解析

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