TY - JOUR
T1 - Analysis of polymorphic data uncertainties in engineering applications
AU - Drieschner, Martin
AU - Matthies, Hermann G.
AU - Hoang, Truong-Vinh
AU - Rosić, Bojana V.
AU - Ricken, Tim
AU - Henning, Carla
AU - Ostermeyer, Georg-Peter
AU - Müller, Michael
AU - Brumme, Stephan
AU - Srisupattarawanit, Tarin
AU - Weinberg, Kerstin
AU - Korzeniowski, Tim F.
PY - 2019/5
Y1 - 2019/5
N2 - In this contribution, several case studies with data uncertainties are presented which have been performed in individual projects as part of the DFG (German Research Foundation) Priority Programme SPP 1886 “Polymorphic uncertainty modelling for the numerical design of structures.” In all case studies numerical models with uncertainties are derived from engineering problems describing concepts for handling and incorporating measurement data, either of model input parameters or of the system response. The first case study deals with polymorphic uncertain data based on computer tomographic scans with respect to air voids which are acquired, simplified and integrated in numerical models of adhesive bonds. In the second case study, the variation sensitivity analysis is presented to provide suitable prior knowledge for numerical soil analyses, for example, in order to reduce required input data. The uncertainty in friction processes is treated in case study 3 whereby measurement data are used in data driven methods to improve the numerical predictions. In case study 4, the failure behavior of die-cast window hinges, which is affected by an uncertain initial pore distribution, is investigated by means of a Markov chain approach. In the last two case studies, mathematical methods of statistical inference and updating algorithms for uncertainty models are shown. Due to the heterogeneous spectrum of problems, a generalized strategy for data modeling, acquisition, and assimilation is developed and applied on each case study.
AB - In this contribution, several case studies with data uncertainties are presented which have been performed in individual projects as part of the DFG (German Research Foundation) Priority Programme SPP 1886 “Polymorphic uncertainty modelling for the numerical design of structures.” In all case studies numerical models with uncertainties are derived from engineering problems describing concepts for handling and incorporating measurement data, either of model input parameters or of the system response. The first case study deals with polymorphic uncertain data based on computer tomographic scans with respect to air voids which are acquired, simplified and integrated in numerical models of adhesive bonds. In the second case study, the variation sensitivity analysis is presented to provide suitable prior knowledge for numerical soil analyses, for example, in order to reduce required input data. The uncertainty in friction processes is treated in case study 3 whereby measurement data are used in data driven methods to improve the numerical predictions. In case study 4, the failure behavior of die-cast window hinges, which is affected by an uncertain initial pore distribution, is investigated by means of a Markov chain approach. In the last two case studies, mathematical methods of statistical inference and updating algorithms for uncertainty models are shown. Due to the heterogeneous spectrum of problems, a generalized strategy for data modeling, acquisition, and assimilation is developed and applied on each case study.
KW - Data acquisition
KW - Data assimilation
KW - Data modeling
KW - Polymorphic uncertainties
UR - http://www.scopus.com/inward/record.url?scp=85063614224&partnerID=8YFLogxK
U2 - 10.1002/gamm.201900010
DO - 10.1002/gamm.201900010
M3 - Article
AN - SCOPUS:85063614224
SN - 0936-7195
VL - 42
JO - GAMM Mitteilungen
JF - GAMM Mitteilungen
IS - 2
M1 - e201900010
ER -