Transient and Steady-State Dynamic Finite Element Modeling of Belt-Drives

[+] Author and Article Information
Michael J. Leamy

United States Military Academy, West Point, NY 10996e-mail: Michael.leamy@usma.edu

Tamer M. Wasfy

Advanced Science and Automation Corp., Hampton, VA 23666e-mail: tamer@ascience.com

J. Dyn. Sys., Meas., Control 124(4), 575-581 (Dec 16, 2002) (7 pages) doi:10.1115/1.1513793 History: Received May 01, 2001; Revised April 01, 2002; Online December 16, 2002
Copyright © 2002 by ASME
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Contact surface and contact node.
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Friction laws: (a) Coulomb law, (b) tri-linear creep-rate dependent law. Here, f denotes the friction force per unit length and fn denotes the normal force per unit length between two contacting bodies, νt denotes the tangential velocity difference, and μ denotes the Coulomb friction coefficient.
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Circular contact constraint for pulley modeling.
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Two-pulley belt-drive system used in the validation study to compare the dynamic finite element and analytical solutions.
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Time histories generated by the finite element model for several values of the slope profile parameter νs. Results are for a discretization of 100 belt elements per half pulley. In all plots, time histories for νs=4.0E+3 are represented by (-), for νs=1.0E+5 by (--), and for νs=8.0E+5 by (-.). In the top figure, the driver pulley angular velocity is represented by (.).
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Comparisons of stead-state finite element and analytically predicted frictional and normal forces at belt nodes for several values of the slope profile parameter νs. Results are for a discretization of 100 belt elements per half pulley. In all plots, the finite element driver solutions are represented by (-), finite element driven by ([[ellipsis]]), analytical driver by (--), and analytical driven by (-.).
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Time-history comparisons for an example belt-drive (a) with a one-way clutch, and (b) without a one-way clutch. For the angular velocity time-histories, lines denoted by (-) represent the driver pulley, by (--) the accessory component, and by (-.) the clutch pulley. For the tension time-histories, (-) denotes the tension in the initial low-tension span and (--) denotes the tension in the initial high-tension span.



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