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©2013 The Japan Society of Mechanical Engineers Unstable behaviors of thin-shell structured columns under axial compression displayed the large loading rate dependence markedly, which can be well resolved by considering the effect of inertial force in the high loading rate region, and by von Karman’s effective width solution in the low loading rate region (see Ref. (2)). This paper focused on clarification of mechanism of the transition between a low loading rate region (named as region A) to a high loading rate region (region C) via a transition region (region B) by changing their shapes parametrically. It was observed that the maximum reaction force of region A strongly depends on only the width of column, not on the length. In the case of small width, the maximum reactions are prescribed by the uniformly yielding state and by the Euler buckling. As the larger width, they varied between two Karman’s solutions with κ=1.7 and 4.0. These results were successfully summarized by the proposed modified Karman’s effective width. On the other hand, the maximum reaction force has an explicit length dependence in the region B. When its length becomes longer, region B shifts to the higher loading rate area. The reason of this shift is caused by the nonuniform stress distribution during the repeated stress wave propagation.

Shape Effects to Unstable Behaviors of Thin-Shell Structured Columns under Axial Compression