Equilibria and free vibration of a two-pulley belt-driven system with belt bending stiffness
type: Item
instance of: scholarly article
title: Equilibria and free vibration of a two-pulley belt-driven system with belt bending stiffness
zbMATH Open document ID: 1407.74037
DOI: 10.1155/2014/907627
author: Jieyu Ding
author: Qingquan Hu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Nonlinear equilibrium curvatures and free vibration characteristics of a two-pulley belt-driven system with belt bending stiffness and a one-way clutch are investigated. With nonlinear dynamical tension, the transverse vibrations of the translating belt spans and the rotation motions of the pulleys and the accessory shaft are coupled. Therefore, nonlinear piecewise discrete-continuous governing equations are established. Considering the bending stiffness of the translating belt spans, the belt spans are modeled as axially moving beams. The pattern of equilibria is a nontrivial solution. Furthermore, the nontrivial equilibriums of the dynamical system are numerically determined by using two different approaches. The governing equations of the vibration near the equilibrium solutions are derived by introducing a coordinate transform. The natural frequencies of the dynamical systems are studied by using the Galerkin method with various truncations and the differential and integral quadrature methods. Moreover, the convergence of the Galerkin truncation is investigated. Numerical results reveal that the study needs 16 terms after truncation in order to determine the free vibration characteristics of the pulley-belt system with the belt bending stiffness. Furthermore, the first five natural frequencies are very sensitive to the bending stiffness of the translating belt.
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 7017573
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/907627
OpenAlex ID: W2084160818
Wikidata QID: Q59070621
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description: scientific article; zbMATH DE number 7017573