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research-article

Periodic Response of a Timing Belt Drive System with an Oval Cogged Pulley and Optimal Design of the Pitch Profile for Vibration Reduction

[+] Author and Article Information
Hao Zhu

School of Automobile Engineering, Chongqing University, Chongqing 400044, China; Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250
haozu@umbc.edu

Weidong Zhu

Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250
wzhu@umbc.edu

Yumei Hu

State Key Laboratory of Mechanical Transmissions, School of Automobile Engineering, Chongqing University, Chongqing 400044, China
cdrhym@163.com

Xuefeng Wang

Department of Mechanical Engineering, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250
xuefeng1@umbc.edu

1Corresponding author.

ASME doi:10.1115/1.4037764 History: Received March 17, 2017; Revised July 23, 2017

Abstract

A complete dynamic model of a timing belt drive system with an oval cogged pulley and an auto-tensioner is established in this work. Periodic torsional vibrations of all accessory pulleys and the tensioner arm are calculated using a modified incremental harmonic balance (MIHB) method based on the complete dynamic model. Calculated results from the MIHB method are verified by comparing them with those obtained from Runge-Kutta method. Influences of tensioner parameters and oval pulley parameters on torsional vibrations of camshafts and other accessory pulleys are investigated. A sequence quadratic programming method with oval pulley parameters selected as design variables is applied to minimize the overall torsional vibration amplitude of all the accessory pulleys and the tensioner arm in the timing belt drive system at different operational speeds. It is demonstrated that torsional vibrations of the timing belt drive system are significantly reduced by matching the belt stretch with speed variations of the crankshaft and fluctuating torque loads on camshafts. The timing belt drive system with optimal oval parameters given in this work has better performance in the overall torsional vibration of the system than that with oval parameters provided by the kinematic model and the simplified dynamic model in previous research.

Copyright (c) 2017 by ASME
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