Noise, vibration, and harshness performances are always concerns in design of an automotive belt drive system. The design problem of the automotive belt drive system requires the minimum transverse vibration of each belt span and minimum rotational vibrations of each pulley and the tensioner arm at the same time, with constraints on tension fluctuations in each belt span. The autotensioner is a key component to maintain belt tensions, avoid belt slip, and absorb vibrations in the automotive belt drive system. In this work, a dynamic adaptive particle swarm optimization and genetic algorithm (DAPSO-GA) is proposed to find an optimum design of an autotensioner to solve this design problem and achieve design targets. A dynamic adaptive inertia factor is introduced in the basic particle swarm optimization (PSO) algorithm to balance the convergence rate and global optimum search ability by adaptively adjusting the search velocity during the search process. genetic algorithm (GA)-related operators including a selection operator with time-varying selection probability, crossover operator, and n-point random mutation operator are incorporated in the PSO algorithm to further exploit optimal solutions generated by the PSO algorithm. These operators are used to diversify the swarm and prevent premature convergence. The objective function is established using a weighted-sum method, and the penalty function method is used to deal with constraints. Optimization on an example automotive belt drive system shows that the system vibration is greatly improved after optimization compared with that of its original design.
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September 2017
Research-Article
Optimal Design of an Autotensioner in an Automotive Belt Drive System Via a Dynamic Adaptive PSO-GA
Hao Zhu,
Hao Zhu
State Key Laboratory of Mechanical
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China;
Department of Mechanical Engineering,
University of Maryland, Baltimore County,
1000 Hilltop Circle,
Baltimore, MD 21250
e-mail: haozu@cqu.edu.cn
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China;
Department of Mechanical Engineering,
University of Maryland, Baltimore County,
1000 Hilltop Circle,
Baltimore, MD 21250
e-mail: haozu@cqu.edu.cn
Search for other works by this author on:
Yumei Hu,
Yumei Hu
State Key Laboratory of Mechanical
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China
Search for other works by this author on:
W. D. Zhu,
W. D. Zhu
Department of Mechanical Engineering,
University of Maryland, Baltimore County,
1000 Hilltop Circle,
Baltimore, MD 21250
e-mail: wzhu@umbc.edu
University of Maryland, Baltimore County,
1000 Hilltop Circle,
Baltimore, MD 21250
e-mail: wzhu@umbc.edu
Search for other works by this author on:
Yangjun Pi
Yangjun Pi
State Key Laboratory of Mechanical
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China
Search for other works by this author on:
Hao Zhu
State Key Laboratory of Mechanical
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China;
Department of Mechanical Engineering,
University of Maryland, Baltimore County,
1000 Hilltop Circle,
Baltimore, MD 21250
e-mail: haozu@cqu.edu.cn
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China;
Department of Mechanical Engineering,
University of Maryland, Baltimore County,
1000 Hilltop Circle,
Baltimore, MD 21250
e-mail: haozu@cqu.edu.cn
Yumei Hu
State Key Laboratory of Mechanical
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China
W. D. Zhu
Department of Mechanical Engineering,
University of Maryland, Baltimore County,
1000 Hilltop Circle,
Baltimore, MD 21250
e-mail: wzhu@umbc.edu
University of Maryland, Baltimore County,
1000 Hilltop Circle,
Baltimore, MD 21250
e-mail: wzhu@umbc.edu
Yangjun Pi
State Key Laboratory of Mechanical
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China
Transmissions,
School of Automobile Engineering,
Chongqing University,
Chongqing 400044, China
1Corresponding author.
Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received August 30, 2016; final manuscript received May 13, 2017; published online July 27, 2017. Assoc. Editor: Massimiliano Gobbi.
J. Mech. Des. Sep 2017, 139(9): 093302 (12 pages)
Published Online: July 27, 2017
Article history
Received:
August 30, 2016
Revised:
May 13, 2017
Citation
Zhu, H., Hu, Y., Zhu, W. D., and Pi, Y. (July 27, 2017). "Optimal Design of an Autotensioner in an Automotive Belt Drive System Via a Dynamic Adaptive PSO-GA." ASME. J. Mech. Des. September 2017; 139(9): 093302. https://doi.org/10.1115/1.4036997
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