Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis

The process of analysis and design in structural engineering requires the consideration of different partial models of loading, structural material, structural elements and analysis type, among others. All of these, need an adequate modelling as individuals and as coupled sets to catch a behaviour of interest. This paper proposes an innovative algorithm to facilitate quantitative measures to evaluate coupled partial models in structural engineering. Adapting graph theory and utilising variance based sensitivity analysis enable evaluation and drawing conclusions regarding the combinations of partial models in an engineering system. The algorithm is applied in bridge engineering, analysing bridge behaviour considering dynamic loading, creep and shrinkage material models and further considering geometric nonlinear effects.

► New algorithm to quantify coupling effects between partial models. ► Method for the evaluation of model quality of coupled partial models. ► Sensitivity analysis of a global model with respect to the class of partial models. ► Sensitivity analysis of a global model with respect to model choice. ► Interaction of creep, shrinkage, geometric nonlinearity, and dynamic loading for bridges.