Journal
SIAM JOURNAL ON APPLIED MATHEMATICS
Volume 67, Issue 6, Pages 1704-1717Publisher
SIAM PUBLICATIONS
DOI: 10.1137/06067715X
Keywords
fiber dynamics; stochastic Hamiltonian system; Fokker-Planck equations; stochastic averaging
Categories
Ask authors/readers for more resources
In this paper we present and investigate a stochastic model and its associated Fokker-Planck equation for the lay-down of fibers on a conveyor belt in the production process of nonwoven materials. The model is based on a stochastic differential equation taking into account the motion of the fiber under the influence of turbulence. A reformulation as a stochastic Hamiltonian system and an application of the stochastic averaging theorem lead to further simplifications of the model. Finally, the model is used to compute the distribution of functionals of the process that are important for the quality assessment of industrial fabrics.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available