平板の電磁成形過程の基礎的研究(第1報) : 平板の衝撃張出し過程のエネルギー解法と解析例

概要

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The paper proposes a new method for analysing a dynamic bulging process of plates, in which the equations of motion and of yield criterion are not directly required, but the balance of energies in deformation process, such as the energy for plastic deformation, the kinematic energy and the work done of applied force, is discussed. The method proposed is verified through analysing the deformation process in phase I (during loading) of circular plate under uniform impact loading. The method is also applied to analysis that of circular plates under annular impact loading. The following results are obtained through these analyses. (1) The dynamic deformation process of plates in phase I under impact loading can be easily analysed by the method proposed. (2) The hinge circle appears at the position where the kinematic energy is maximized - principle of maximum kinematic energy. (3) The plate deforms such the mode that the work done of applied load becomes maximum - principle of maximum work done of applied load.
1983-04-05