Structural dynamics under consideration of imprecise probability

Abstract eng:
The incorporation of fuzzy random input variables within a dynamic structural analysis leads to uncertain structural responses representing the uncertain structural performance close to the reality. The uncertain structural responses are determined using fuzzy stochastic dynamic analysis. Thereby fuzzy stochastic processes result because of dynamic actions. The fuzzy stochastic analysis of industry-sized problems requires high performance computational tools in order to deal with a large number of uncertain input variables as well as complex nonlinear structural models. An efficient approach is introduced which is based on α-level optimization and Monte-Carlo simulation using metamodels which partly replace the dynamic structural analyses. As the design of a structure or a structural member represents an inverse problem in analysis, the results arising from fuzzy stochastic analysis can build the basis of a design approach. The design approach is enhanced in this contribution for dynamic actions. The capability of the fuzzy stochastic dynamic analysis is demonstrated by means of an example.

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