Abstract
The uncertainties of structural system parameters given by the intervals are studied within the finite element formulation to determine the sharp bounds of the displacement response. Direct approach in which the ordinary real arithmetic is simply replaced with the corresponding interval arithmetic gives extremely overestimated solution of intervals. This problem is called independent problem of interval arithmetic. In order to avoid the overestimation, an approach based on the bracketing of the solution set by subdivided interval boxes is proposed. Validation of this method is tested to the analysis of truss structural systems with uncertainties in nodal coordinates.
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