Multi-objective optimization of wooden structures with polymorphic uncertain parameters
A continuation of the topic is currently taking place in the second project phase.
In this project, a multi-objective optimization procedure with polymorphic uncertain design variables and a priori parameters is developed and implemented to enable an optimal design of wooden structures. Design variables are structural parameters like geometrical quantities influencing global failure modes and the load bearing capacity. Different concepts for the development of a multi-objective optimization are evaluated including the active and the passive approach. Regarding the consideration of multiple objective functions, the focus is set on approaches with Pareto-optimal solutions since the multiple objectives are not weighted before optimization. Existing methods are enhanced to include fuzzy random design variables and a priori parameters. To evaluate the objective functions, the uncertain quantities need to be reduced to deterministic values. Therefore, specific uncertainty measures are developed.
Parametrized structural model and automatic generated uncertain simulation model
The main results of the project can be formulated as the development of
- a multi-objective optimization procedure for wooden structures
- methods to include the polymorphic uncertainty of design variables and a priori parameters
- models to represent the spatial variation of material parameters in structural analyses
- optimization procedure to analyse glulam beams and timber joints
- Schietzold, F. N.; Graf, W.; Kaliske, M.:
Design Optimization of a Glulam Beam with Polymorphic Uncertain Parameters.
3rd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP2019), Crete, 2019 - Schietzold, F. N.; Schmidt, A.; Dannert, M. M.; Frau, A.; Fleury, R. M. N.; Graf, W.; Kaliske, M.; Könke, C.; Lahmer, T.; Nackenhorst, U.:
Development of fuzzy probability based random fields for the numerical structural design (GAMM - Mitteilungen), Wien 2019 Link - Schietzold, N.; Graf, W.; Kaliske, M.:
Polymorphic uncertainty modeling for optimization of timber structures.
In:Ferson, S. (ed.),Proceedings of 8th International Workshop on Reliable Engineering Computing (REC), pp. 63-70, University of Liverpool, 2018 - Schietzold, N.; Graf, W.; Kaliske, M.:
Polymorphic uncertainty modeling for optimization of timber structures GAMM-Tagung, TU München, 2018, Proceedings Applied Mathematics and Mechanics (PAMM) 18 (2018) 4 pp. - Leichsenring, F.; Jenkel, C.; Graf, W.; Kaliske, M.:
Numerical simulation of wooden structures with polymorphicuncertainty in material parameters, special issue onComputing with polymorphic uncertain data (REC 2016),International Journal of Reliability and Safety,Vol. 12 (2018) No. 1/2, pp. 24-45DOI: 10.1504/IJRS.2018.10013787 - Kaliske, M.; Jenkel, C; Leichsenring, F.; Graf, W.:
Numerical simulation of wooden structures with polymorphicuncertain data. In: Bucher, C. et al. (eds.),Proceedings 12thICOSSAR, pp. 2521-2530, TU Vienna, 2017