Fuzzy uncertainty in forward dynamics simulation using variational integrators

Eisentraudt M, Leyendecker S (2018)

Publication Language: English

Publication Type: Conference contribution, Conference Contribution

Publication year: 2018

Publisher: Proc. Appl. Math. Mech.

Conference Proceedings Title: Proc. Appl. Math. Mech. (PAMM)

Event location: Munich DE

DOI: 10.1002/pamm.201800315

Abstract

In engineering applications, dynamic simulations are usually carried out with precisely defined input parameters. In this contribution, forward dynamics with epistemic parameter‐uncertainty is considered and α‐level discretisation in combination with α‐level optimisation is used to determine the output of the dynamical system – a fuzzy function. A new numerical method for an efficient realisation of α‐level optimisation in this context is developed, which combines forward dynamics steps and local optimisations. A variational integrator, which exhibits special structure preserving properties, is used as the underlying time integration scheme. However, the method can be combined with any time stepping scheme. In detail, an approximative description of the output as a function of the uncertain parameters is developed, which can be used to reduce the complexity of the developed algorithm.

Authors with CRIS profile

Markus Eisentraudt Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics

Related research project(s)

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:

Eisentraudt, M., & Leyendecker, S. (2018). Fuzzy uncertainty in forward dynamics simulation using variational integrators. In Proc. Appl. Math. Mech. (PAMM). Munich, DE: Proc. Appl. Math. Mech..

MLA:

Eisentraudt, Markus, and Sigrid Leyendecker. "Fuzzy uncertainty in forward dynamics simulation using variational integrators." Proceedings of the GAMM Annual Meeting, Munich Proc. Appl. Math. Mech., 2018.

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