Fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure. (English) Zbl 1468.74069
Summary: This paper deals with the fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure. Macroscopic material properties are obtained using fuzzy-stochastic FEM based computational homogenization. In particular, the spectral stochastic local FEM is utilized to simulate a representative volume element of the microstructure. Forward dynamics of the macroscopic system is modeled using the Graph Follower algorithm. Thereby we propagate the uncertainty from the lowest level of material microstructure to the highest level of multibody dynamics. Differences in the propagation of epistemic and aleatoric uncertainties to the macroscale and their influence on the multibody dynamics are discussed. A particular example of a multibody system used in this paper is a multistory frame, whereby the considered heterogeneous material is a cement-based concrete.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 74S60 | Stochastic and other probabilistic methods applied to problems in solid mechanics |
| 74H15 | Numerical approximation of solutions of dynamical problems in solid mechanics |
| 74Q10 | Homogenization and oscillations in dynamical problems of solid mechanics |
| 74M25 | Micromechanics of solids |
| 70E55 | Dynamics of multibody systems |
Keywords:
stochastic finite element method; computational homogenization; forward dynamics simulation; fuzzy number; epistemic uncertainty; \(\alpha\)-cut-optimizationReferences:
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