Stochastic Analysis of the Critical Stable Velocity of a Moving Paper Web in the Presence of a Crack
Maria Tirronen,
Tero Tuovinen,
Juha Jeronen
et al.
Abstract:In this study, we present a probabilistic approach for analysing runnability of a moving paper web with random defects. The paper web is modelled in the case of an open draw as an axially moving elastic plate that has an initial crack of random length. We derive a formula for the optimal velocity, at which the probability of fracture is limited. We study edge and central cracks perpendicular to machine direction (mode I cracks) and oblique central cracks (mixed mode). The crack length is modelled with the Weib… Show more
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