Fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure

Pivovarov D, Hahn V, Steinmann P, Willner K, Leyendecker S (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Computational Mechanics Springer Verlag (Germany)

Book Volume: 64

Pages Range: 1601-1619

DOI: 10.1007/s00466-019-01737-9

Abstract

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.

Authors with CRIS profile

Dmytro Pivovarov Lehrstuhl für Technische Mechanik Verena Hahn Institute of Applied Dynamics Paul Steinmann Lehrstuhl für Technische Mechanik Kai Willner Professur für Strukturmechanik Sigrid Leyendecker Institute of Applied Dynamics

Related research project(s)

A hybrid Sampling-Stochastic-Finite-Element-Method for polymorphic, microstructural uncertainties in heterogeneous materials SPP 1886: Polymorphe Unschärfemodellierungen für den numerischen Entwurf von Strukturen April 1, 2016 - Nov. 30, 2020 Dynamic analysis of prosthetic structures with polymorphic uncertainty SPP 1886: Polymorphe Unschärfemodellierungen für den numerischen Entwurf von Strukturen Jan. 1, 2016 - Sept. 30, 2020

How to cite

APA:

Pivovarov, D., Hahn, V., Steinmann, P., Willner, K., & Leyendecker, S. (2019). Fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure. Computational Mechanics, 64, 1601-1619. https://dx.doi.org/10.1007/s00466-019-01737-9

MLA:

Pivovarov, Dmytro, et al. "Fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure." Computational Mechanics 64 (2019): 1601-1619.

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