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A Stochastic Model for the Fiber Lay-down Process in the Nonwoven Production

  • In this paper we present and investigate a stochastic model for the lay-down of fibers on a conveyor belt in the production process of nonwovens. The model is based on a stochastic differential equation taking into account the motion of the ber under the influence of turbulence. A reformulation as a stochastic Hamiltonian system and an application of the stochastic averaging theorem lead to further simplications of the model. Finally, the model is used to compute the distribution of functionals of the process that might be helpful for the quality assessment of industrial fabrics.

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Author:T. Götz, A. Klar, N. Marheineke, R. Wegener
URN (permanent link):urn:nbn:de:hbz:386-kluedo-14707
Serie (Series number):Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (102)
Document Type:Report
Language of publication:English
Year of Completion:2006
Year of Publication:2006
Publishing Institute:Fraunhofer-Institut für Techno- und Wirtschaftsmathematik
Creating Corporation:Fraunhofer ITWM
Date of the Publication (Server):2006/11/28
Tag:fiber dynamics; stochastic Hamiltonian system; stochastic averaging.
Faculties / Organisational entities:Fraunhofer (ITWM)
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011