Cumulative Error due to integration procedure in Progressive Collapse Analysis

Dr. Hyung Jin Choi, Karagozian & Case

Abstract:

For the nature of progressive collapse analysis, the resultant behavior would contain serious level of disconnections and discontinuosities.  Those behaviors related large deformation could be one of the reason for unacceptable errors that lead the behavior totally wrong way.   Unfortunately, a certain level of error should follow to the analysis method with the concept of discritization such as finite element method.  To minimize errors that might be contained, various analysis techniques should be selected after the sufficient consideration on applicability and feasibility.

Since typical cause of the progressive collapse is impact related incidents such as blast or crash, explicit integration procedure is applied in the solution phase of the analysis.  Though explicit integration procedure is known very effective for the impact related behavior for a short period, some of the recent research shows that it may accumulate numerical error that can influence to the behavior of structures, especially in large deformation case. 

In this paper, the characteristics of implicit and explicit integration procedure will be described and com- pared.  And applicability to the large deformation case will be reviewed with simple structural model in the view of numerical error containment.  Desirable methodology for the progressive collapse analysis will be suggested.

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