Mechanics of Serpentine Belt Drives with Tensioner Assemblies and Belt Bending Stiffness

[+] Author and Article Information
Lingyuan Kong

Department of Mechanical Engineering,  The Ohio State University, 206 W. 18th Avenue, Columbus, OH 43210

Robert G. Parker1

Department of Mechanical Engineering,  The Ohio State University, 206 W. 18th Avenue, Columbus, OH 43210parker.242@osu.edu


Corresponding author.

J. Mech. Des 127(5), 957-966 (Oct 29, 2004) (10 pages) doi:10.1115/1.1903002 History: Received May 18, 2004; Revised October 29, 2004

Steady state analysis is conducted on a multipulley serpentine belt drive with a spring-loaded tensioner assembly. Classical creep theory is extended to incorporate belt bending stiffness as well as the belt stretching and centripetal accelerations. The belt is modeled as an axially moving Euler–Bernoulli beam with nonuniform speed due to belt extensibility and variation of belt tension. The geometry of the belt-pulley contact zones and the corresponding belt tension and friction distributions are the main factors affecting belt slip. Bending stiffness introduces nontrivial span deflections, reduces the wrap angles, and makes the belt-pulley contact points unknown a priori. The free span boundary value problems (BVP) with undetermined boundaries are transformed to a fixed boundary form. A two-loop iteration method, necessitated by the tensioner assembly, is developed to find the system steady state. The effects of system parameters on serpentine drive behavior are explored in the context of an actual automotive belt drive.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

Seven pulley serpentine belt drive example defined in Table 1

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Figure 2

The ith span connecting the ith and (i+1)th pulleys in a serpentine belt drive

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Figure 3

Free body diagram of tensioner assembly

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Figure 4

Flowchart of iteration method involving two loops

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Figure 5

Steady state for the system properties specified in Table 1. (a) EI=0.01; (b) EI=0.1, (c) EI=0.3Nm2. The fixed belt-pulley contact points for the string model are marked by short lines perpendicular to the pulleys. Dashed lines delineate the sliding and adhesion zones, denoted by A and S.

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Figure 6

Variations of geometric angles for the system specified in Table 1: (a) wrap angles with bending stiffness; (b) adhesion angles with bending stiffness; (c) sliding angles with bending stiffness; (d) reduction of wrap angles (0⩽EI⩽0.3Nm2) with respect to pulley radii

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Figure 7

Comparison of variation of wrap angles with bending stiffness for the system specified in Table 1. (—) numerical solution; (---) approximate solution.

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Figure 8

Variations of span maximum tensions with bending stiffness for the system specified in Table 1

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Figure 9

Influence of belt longitudinal stiffness on power efficiency and tensioner orientation angle. The physical properties are from Table 1 with EI=0.05Nm2.

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Figure 10

Influence of friction coefficient for the system specified in Table 1 with EI=0.05Nm2

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Figure 11

Influence of accessory torques. The physical properties are from Table 1 with EI=0.1Nm2 except that the torque on pulley 5 is doubled, as indicated



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