| Title |
Dynamic Instability of Shallow Elliptic Parabolical Shells Considering Geometrical Nonlinearity |
| Abstract |
In the instable phenomena of shell structures, it is very important to grasp not only static but also dynamic fracture mechanism, because there are some cases that the structures was broken down due to dynamic external load but has not examined closely why it might happen. Many papers which treat the dynamic instability of shell structures under the step load have been published. But there are few papers which deal with the dynamic buckling under the load with periodic characteristics, that is, the sinusoidal and the seismic excitations, and the dynamic buckling behavior under the periodic excitation is different from the behavior under the step excitation. In this paper, the dynamic snap-buckling phenomenon ofshallow elliptic paraboloidal shells is investigated under the up-and-down excitation, and compared with the static critical load. The dynamic critical loads are determined by the Budiansky-Roth criterion, using the numerical integration of the geometrically nonlinear equation of motion. The results show that the dynamic buckling load is strongly influenced by the relation between frequency components of the structure and the excitation. |