Modeling of laminated webs

A dynamic model of the longitudinal behavior of a laminated web is developed. A single web model that takes into account both thermal and hygral strains is developed first from first principles; the model assumes heat transfer in the region of wrap and free web span and moisture diffusion in the free web span. A classical one-dimensional heat equation is considered in the transverse direction to determine the heat transfer in the region of wrap. In the free web section, a lumped capacitance model is used to investigate heat transfer from the web surface. Moisture diffusion from the web surface is assumed to follow Fickian diffusion, which is used to determine hygral strain in the web. Mechanical and physical properties of a laminated web consisting of two isotropic webs of different material are stated using the rule-of-mixtures. The developed single web model and the laminate properties are used to derive a dynamic model for a laminated web span immediately downstream of the laminator rolls.Mechanical and Aerospace Engineerin