走行するベルトの有限要素振動解析(機械力学,計測,自動制御)

概要

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Two finite element models are developed to calculate transverse vibrations of axially moving belt: one is a string type model without bending rigidity and the other is a beam type model with bending rigidity. A conserved quantity for these models is derived in matrix form and used to check the quality of numerical calculations. To demonstrate the validity of these finite element models, calculated results according to both models are compared with an exact solution for a belt with zero bending rigidity. The beam type model is also applicable when the bending rigidity of the belt is zero, and gives more accurate result than the string type model with same number of elements. In addition, result according to the beam type model is compared with Kotera's calculation solving integral equations numerically for a belt with bending rigidity, so that it is shown that the beam type model gives more accurate result than the integral equation method.
2007-03-25