Equations of motion (lateral and axial) of an axially moving web are developed based on the Newton's Second Law and the Euler-Bernoulli thin beam theory- The equations of motion in the axial direction are solved by using the fourth-order Runge-Kutta Method. The fourth-order, partial differential equation for the lateral motion is solved using Galerkin's finite element method and the Three-point Recurrence Scheme. Effects of the flexibility of the end-supports, the weight of the web, the axial web speeds, the eccentricities of the rollers, and the applied torque to the web-roller system are studied.
Library of Congress Subject Headings
Rolling contact--Mathematical models; Vibration--Control
Department, Program, or Center
Mechanical Engineering (KGCOE)
Liu, Gavin Chunye, "Vibration analysis of a thin moving web and its finite element implementation" (1992). Thesis. Rochester Institute of Technology. Accessed from
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