Abstract
The optimal shape for dynamic buckling of shallow arches subjected to up-and-down excitations is studied. First, we introduce basic equations of the arches of two-degree-of freedom by assuming that the thickness of the arches vary continuously along the span direction. Second, we analyze "the critical input acceleration" which can cause dynamic buckling by use of the total potential energy approach for step excitations and the equations of motion approach for sinusoidal excitations. Consequently, we investigate the optimal shape by searching the local maximum point on the curve of the critical input acceleration with the thickness.
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