On Less Computational Costs for Analysis of Silos Seismic Behavior by Time Integration

Abstract eng:
Time integration is the most versatile tool for analyzing semi-discretized equations of motion. Nevertheless, the associated computational costs are generally high and the computed responses are approximate. Integration step size is the main parameter affecting the computational cost and accuracy, in different ways; and hence, should be set equal to the largest value, acceptable from the point of view of accuracy. For practical cases, subjected to digitized excitations, an additional restriction, potentially increasing the computational costs, is the digitization size of the recorded excitations. Recently, a technique uses a convergencebased replacement of the digitized excitations with excitations digitized at larger steps, to arrive at time integration analyses in need of less computational cost. The good performance of the proposed technique regarding simple linear and nonlinear structural dynamic systems and shear frame structures has been displayed. Considering these, the importance of time history analysis in seismic analyses, the fact that the sizes and complicatedness of structural systems are in increase and the earthquakes are likely being recorded in smaller steps everyday, and meanwhile, the strategical role of silos in most of countries, the objective in this paper is to study the effectiveness of the new technique, when applied to analysis of silos seismic behaviors. After brief theoretical discussion, a steel silo designed based on existing codes, is once analyzed without implementing the technique, and then again, when implementing it, considering 80 percent of the mass of granular material inside silo as the effective mass. The numerical results clearly evidence the good performance of the technique.

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