6533b82afe1ef96bd128b80a
RESEARCH PRODUCT
Stochastic analysis of the critical velocity of an axially moving cracked elastic plate
Tero TuovinenMaria TirronenNikolay BanichukJuha JeronenTytti Saksasubject
Aerospace EngineeringOcean EngineeringInstabilityRandomnessCivil and Structural EngineeringPhysicsta113Tension (physics)business.industryMechanical EngineeringplateIsotropypaperiStatistical and Nonlinear PhysicsMechanicsStructural engineeringmoving materialstabilityCondensed Matter PhysicsCritical valueCritical ionization velocityepävarmuusNuclear Energy and EngineeringfractureFracture (geology)businessAxial symmetrydescription
In this study, a probabilistic analysis of the critical velocity for an axially moving cracked elastic and isotropic plate is presented. Axially moving materials are commonly used in modelling of manufacturing processes, like paper making and plastic forming. In such systems, the most serious threats to runnability are instability and material fracture, and finding the critical value of velocity is essential for efficiency. In this paper, a formula for the critical velocity is derived under constraints for the probabilities of instability and fracture. The significance of randomness in different model parameters is investigated for parameter ranges typical of paper material and paper machines. The results suggest that the most significant factors are variations in the crack length and tension magnitude. peerReviewed
year | journal | country | edition | language |
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2014-07-01 | Probabilistic engineering mechanics |