A Smooth 3D Model for Fiber Lay‐Down Processes | Zendy

Maringer Johannes | Zendy; Klar Axel | Zendy; Stilgenbauer Patrik | Zendy; Wegener Raimund | Zendy

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A Smooth 3D Model for Fiber Lay‐Down Processes

Author(s) -

Maringer Johannes,

Klar Axel,

Stilgenbauer Patrik,

Wegener Raimund

Publication year - 2012

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201210293

Subject(s) - smoothness , fiber , position (finance) , limit (mathematics) , stochastic differential equation , white noise , noise (video) , process (computing) , stochastic modelling , computer science , mathematics , mathematical analysis , materials science , artificial intelligence , telecommunications , economics , composite material , statistics , image (mathematics) , finance , operating system

We present an improved three‐dimensional stochastic model concerning the fiber lay‐down in the production process of nonwoven materials. The model describes the position of the deposited fibers on a conveyor belt, which is determined by a system of stochastic differential equations. Here we remove a drawback of a previous 3D model, that is the non‐smoothness of the fiber paths. Besides the derivation of the smooth 3D model we show its connection to the non‐smooth model in a white noise limit. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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