The drift motion of an asymmetric dimer bouncing on a harmonically vibrating plate is addressed in this paper. The direction of this motion is determined by the behavior of the dimer during a double impact. Namely, if the system parameters allow a sticking impact as a generic behavior, the dimer drifts in one direction, whereas if all impacts end in a reverse slip, the dimer drifts in the opposite direction. By this mechanism, the bifurcation coefficients dominating the drift direction are obtained and discussed. But strictly speaking, the drift direction does not change unless the reverse slipping displacement after a double impact is big enough. Thus, numerical simulations are carried out to find a more accurate threshold and check the rationality of theoretical results.
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June 2019
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Insight Into the Drift Motion of a Bouncing Asymmetric Dimer
Runsen Zhang,
Runsen Zhang
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: buaa_zhangrunsen@buaa.edu.cn
Beihang University,
Beijing 100191, China
e-mail: buaa_zhangrunsen@buaa.edu.cn
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Zhen Zhao,
Zhen Zhao
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: bhzhaozhen@buaa.edu.cn
Beihang University,
Beijing 100191, China
e-mail: bhzhaozhen@buaa.edu.cn
1Corresponding author.
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Xudong Zheng,
Xudong Zheng
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: xudongzheng_buaa@buaa.edu.cn
Beihang University,
Beijing 100191, China
e-mail: xudongzheng_buaa@buaa.edu.cn
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Qi Wang
Qi Wang
Professor
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: bhwangqi@sina.com
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: bhwangqi@sina.com
Search for other works by this author on:
Runsen Zhang
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: buaa_zhangrunsen@buaa.edu.cn
Beihang University,
Beijing 100191, China
e-mail: buaa_zhangrunsen@buaa.edu.cn
Zhen Zhao
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: bhzhaozhen@buaa.edu.cn
Beihang University,
Beijing 100191, China
e-mail: bhzhaozhen@buaa.edu.cn
Xudong Zheng
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: xudongzheng_buaa@buaa.edu.cn
Beihang University,
Beijing 100191, China
e-mail: xudongzheng_buaa@buaa.edu.cn
Qi Wang
Professor
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: bhwangqi@sina.com
School of Aeronautics Science and Engineering,
Beihang University,
Beijing 100191, China
e-mail: bhwangqi@sina.com
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 11, 2018; final manuscript received February 14, 2019; published online April 8, 2019. Assoc. Editor: Anindya Chatterjee.
J. Comput. Nonlinear Dynam. Jun 2019, 14(6): 064501 (7 pages)
Published Online: April 8, 2019
Article history
Received:
September 11, 2018
Revised:
February 14, 2019
Citation
Zhang, R., Zhao, Z., Zheng, X., and Wang, Q. (April 8, 2019). "Insight Into the Drift Motion of a Bouncing Asymmetric Dimer." ASME. J. Comput. Nonlinear Dynam. June 2019; 14(6): 064501. https://doi.org/10.1115/1.4043088
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