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http://dx.doi.org/10.5050/KSNVN.2004.14.9.910

Vibration Analysis of an Axially Moving Membrane with In-plane/Out-of-plane Deformations  

Shin Changho (한양대학교 일반대학원 정밀기계공학과)
Chung Jintai (한양대학교 기계공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.14, no.9, 2004 , pp. 910-918 More about this Journal
Abstract
The vibration analysis of an axially moving membrane are investigated when the membrane has the two sets of in-plane boundary conditions, which are free and fixed constraints in the lateral direction. Since the in-plane stiffness is much higher than the out-of-plane stiffness, it is assumed during deriving the equations of motion that the in-plane motion is in a steady state. Under this assumption, the equation of out-of-plane motion is derived, which is a linear partial differential equation influenced by the in-plane stress distributions. After discretizing the equation by using the Galerkin method, the natural frequencies and mode shapes are computed. In particular, we put a focus on analyzing the effects of the in-plane boundary conditions on the natural frequencies and mode shapes of the moving membrane.
Keywords
Axially Moving Material; Vibration Analysis; Steady State;
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