Project Details
Projekt
Multi-objective optimization of wooden structures with polymorphic uncertain parameters
Applicant
Professor Dr.-Ing. Michael Kaliske, since 5/2023
Subject Area
Applied Mechanics, Statics and Dynamics
Term
from 2016 to 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 310971965
The main objectives of SPP 1886 are the supply of novel structural design concepts and the development of uncertainty models to account for polymorphic uncertainties in structural analysis. If natural materials, such as timber, are used as construction material, the consideration of underlying uncertainties are a fundamental aspect for engineering tasks. Several types of uncertainties are apparent and not negligible, e.g. for material parameters, geometrical variables, loads and bearing conditions. In context of imprecise probability, different types of uncertainty characteristics are taken into account by combined uncertainty approaches, referred to as polymorphic uncertainty models. In this project, aleatoric uncertainty is described by randomness and epistemic uncertainties are taken into account as fuzzy quantities for the parametrization of random variables. This polymorphic uncertainty approach is referred to as fuzzy probability based randomness. Dependencies between and within the uncertain variables are considered. Spatial intra-dependencies are simulated by multivariate fuzzy probability based random fields and inter-dependencies are regarded as fuzzy interactions and cross-correlations of random variables. With the developments of this project, engineering tasks of designing timber structures are supported by novel optimization methods, where uncertain design variables and a priori variables are considered. Multiple competing optimization objectives, for instance maximization of bearing capabilities and minimization of the result uncertainty, are aimed at. Resulting from the first project phase, a framework for multi-objective optimization considering polymorphic uncertainty models is available for the second project phase. Both, Finite Element Methods and analytical solutions are applied for structural analyses, while glulam beams, timber boards and timber joints are focused as model tasks. The proposal at hand is the renewal application for the second phase of this project. The objectives of the project are emphasized to further pursue the major goal of introducing new polymorphic uncertainty models and analyses embedded in a multi-objective optimization framework, to allow engineering decision making in timber structure design. Specific objective of the second phase is the development of novel methods accounting for time dependencies as advancement to the existing uncertainty quantification framework. This objective is attained by the developments of: a multi-objective optimization procedure, aiming at decision making in design of wooden structures; polymorphic uncertainty analyses with design variables and a priori parameters; time-dependent polymorphic uncertainty models with spatially depending intra-dependencies, parameter inter-dependencies and processes; efficient processing of uncertainty analysis and multi-objective optimization for the applicability to real world problems.
DFG Programme
Priority Programmes
Ehemaliger Antragsteller
Professor Dr.-Ing. Wolfgang Graf, until 4/2023
