Modification of bar structures described by fuzzy processes

摘要

In order to analyze the load and modification process of composite structures with uncertain parameters a numerical simulation model with fuzzy parameters is developed. The uncertain input set x(θ, τ, Φ) is mapped by use of a mapping operator onto the uncertain result set Z(θ, τ, Φ). The numerical simulation is carried out with the aid of α-level-optimization. As mapping operator (deterministic fundamental solution) the geometrically and physically nonlinear analysis of plane composite/reinforced bar structures is applied. It is based on an incrementally formulated system of first order differential equations. A flexible bond in the longitudinal direction of a composite bar - e.g. a steel-concrete-composite or a concrete-concrete-composite - is included in this system of differential equations by an additional degree of freedom. The algorithms are demonstrated by way of examples.