Equilibria and Free Vibration of a Two-Pulley Belt-Driven System with Belt Bending Stiffness
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-09
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ding, Jieyu& Hu, Qingquan. 2014. Equilibria and Free Vibration of a Two-Pulley Belt-Driven System with Belt Bending Stiffness. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1046539
Modern Language Association (MLA)
Ding, Jieyu& Hu, Qingquan. Equilibria and Free Vibration of a Two-Pulley Belt-Driven System with Belt Bending Stiffness. Mathematical Problems in Engineering No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-1046539
American Medical Association (AMA)
Ding, Jieyu& Hu, Qingquan. Equilibria and Free Vibration of a Two-Pulley Belt-Driven System with Belt Bending Stiffness. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1046539
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046539