Computational Simulation Of Axially Tensioned Moving Paper Webs

A computational procedure is developed to analyze the out-of-plane motion of pretensioned moving paper webs. The standard Galerkin finite element method is employed along with the Newmark direct time integration scheme for the solution of the governing equation. It is demonstrated that when the tension is the dominant restoring force, this displacement-based finite element formulation will not introduce the well-known shear locking. In addition, results obtained with both the proposed formulation and the mixed finite element formulation with MITC (mixed interpolated tensorial components) elements based on the Mindlin/Reissner plate theory are compared. 1 Introduction As paper machine speeds continue to increase, effects of the air being drawn along with the moving paper web, cross-machine direction (CD) tension nonuniformity, moisture profile, basis weight variation, and roll eccentricity can introduce significant out-of-plane vibrations. Various mathematical models have been propose..