Frank Steinigen

Numerical structural monitoring with the uncertainty model fuzzy randomness

In this paper, an approach is introduced in which uncertain structural analysis, assessment of damage state and performance by indicators as well as prognosis of future structural behaviour and lifetime are combined. This approach is referred to as numerical structural monitoring and may be supported by results of in-situ monitoring. The numerical structural monitoring is based on the numerical simulation of the load and modification process. The parameters of this structural process are normally uncertain parameters which are mathematically described by means of imprecise probabilities. Here, the generalised uncertainty model fuzzy randomness is applied. A fuzzy stochastic structural analysis in the time domain is adopted to take into account fuzzy randomness of the load and modification process in the numerical simulation.

Fuzzy random processes and their application to dynamic analysis of structures

In many engineering problems the dynamical reactions of structures depend on uncertain data. For considering this uncertainty, fuzzy random processes are applied. An enhanced dynamic analysis method called fuzzy stochastic finite element method (FSFEM) has been developed in order to consider the fuzzy random processes within the dynamic analysis of structures. A suitable discretization strategy enables the repeated processing of FE algorithms as deterministic fundamental solution. In this paper the FE multi-reference-plane model is extended to fuzzy randomness and dynamic loads. The numerical solution is based on the fuzzy stochastic sampling (FSS). FSS and FSFEM are applied for the numerical simulation of the load-bearing capacity of a strengthened RC plate under static and dynamic loads.

Fuzzy and Fuzzy Stochastic Methods for the Numerical Analysis of Reinforced Concrete Structures Under Dynamical Loading

This paper is mainly devoted to enhanced computational algorithms to simulate the load-bearing behavior of reinforced concrete structures under dynamical loading. In order to take into account uncertain data of reinforced concrete, fuzzy and fuzzy stochastic analyses are presented. The capability of the fuzzy dynamical analysis is demonstrated by an example in which a steel bracing system and viscous damping connectors are designed to enhance the structural resistance of a reinforced concrete structure under seismic loading.

Textile reinforced concrete structures under uncertain dynamic loading processes

Concrete constructions with textile reinforcement provide an opportunity of increasing load-bearing capacity of existing structures. New textile technologies permit the effective production of textile surface structures with several layers of filament threads made of glass or carbon. Although this new type of reinforcement applied to strengthening of existing structures is effective, clarification is still required concerning the modified load-bearing behavior and an assessment of structural safety.