Research Papers

Designing Synchronous Belt Transmissions With Variable Velocity Ratio

[+] Author and Article Information
Carlo Innocenti

Department of Mechanical and Civil Engineering,  University of Modena and Reggio Emilia, 41100 Modena, Italycarlo.innocenti@unimore.it

Davide Paganelli

Department of Mechanical Engineering,  University of Bologna, 40136 Bologna, Italydavide.paganelli@mail.ing.unibo.it

J. Mech. Des 130(1), 011009 (Dec 07, 2007) (7 pages) doi:10.1115/1.2803657 History: Received May 30, 2006; Revised February 18, 2007; Published December 07, 2007

The paper presents a new procedure to design a two-pulley synchronous belt transmission connecting, with no belt tensioner, two parallel-axis shafts with a variable velocity ratio. The procedure takes into account the limited number of choices for pitch and length of off-the-shelf synchronous belts, which translates into the need of fine-adjusting either the center distance or the law of motion. Different from other approaches reported in the technical literature, the suggested method is based on the numerical solution of a set of functional equations. A numerical example shows the application of the proposed method to a case study.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 1

Belt transmission with variable velocity ratio

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Figure 2

Parametrization of the position of the belt spans

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Figure 3

Double tangency to pulley 1

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Figure 4

Double tangency to pulley 2

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Figure 5

The set of possible solutions

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Figure 6

Obtaining a refined guess for set f(xi), i=1,…,N

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Figure 7

The schematic flow chart for the proposed algorithm

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Figure 8

The synthesized belt transmission at two configurations

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Figure 9

Relative deviation of the belt length

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Figure 10

Enveloping the contour of pulley 1



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