Due to inherent nonlinearity of the autobalancer, the potential for other, undesirable, nonsynchronous limit-cycle vibration exists. In such undesirable situations, the balancer masses do not reach their desired synchronous balanced steady-state positions resulting in increased rotor vibration. Such behavior has been widely studied and is well understood for rotor systems on idealized bearings with symmetric supports. However, a comprehensive study into this nonlinear behavior of an imbalanced planar-rigid rotor/autobalancing device (ABD) system mounted on a general bearing holding asymmetric damping and stiffness forces including nonconservative effects cross-coupling ones has not been fully conducted. Therefore, this research primarily focuses on the unstable nonsynchronous limit-cycle behavior and the synchronous balancing condition of system under the influence of the general bearing support. Here, solutions for rotor limit-cycle amplitudes and the corresponding whirl speeds are obtained via a harmonic balance approach. Furthermore, the limit-cycle stability is assessed via perturbation and Floquet analysis, and all the possible responses including undesirable coexistence for the bearing parameters and operating speeds have been thoroughly studied. It is found that, due to asymmetric behavior of bearing support, the multiple limit cycles are encountered in the range of supercritical speeds and more complicate coexistences are invited into the ABD–rotor system compared to the case with idealized symmetric bearing supports. The findings in this paper yield important insights for researchers wishing to utilize automatic balancing devices in more practical rotor systems mounted on a asymmetric general bearing support.
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June 2017
Research-Article
Nonsynchronous Vibration of Planar Autobalancer/Rotor System With Asymmetric Bearing Support
DaeYi Jung,
DaeYi Jung
Assistant Professor
College of Convergence Engineering,
Kunsan National University,
558 Daehak-ro,
Gunsan-si 54150, South Korea
e-mail: dyjung@kunsan.ac.kr
College of Convergence Engineering,
Kunsan National University,
558 Daehak-ro,
Gunsan-si 54150, South Korea
e-mail: dyjung@kunsan.ac.kr
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Hans DeSmidt
Hans DeSmidt
Mechanical, Aerospace
and Biomedical Engineering,
University of Tennessee at Knoxville,
Knoxville, TN 37996
e-mail: hdesmidt@utk.edu
and Biomedical Engineering,
University of Tennessee at Knoxville,
Knoxville, TN 37996
e-mail: hdesmidt@utk.edu
Search for other works by this author on:
DaeYi Jung
Assistant Professor
College of Convergence Engineering,
Kunsan National University,
558 Daehak-ro,
Gunsan-si 54150, South Korea
e-mail: dyjung@kunsan.ac.kr
College of Convergence Engineering,
Kunsan National University,
558 Daehak-ro,
Gunsan-si 54150, South Korea
e-mail: dyjung@kunsan.ac.kr
Hans DeSmidt
Mechanical, Aerospace
and Biomedical Engineering,
University of Tennessee at Knoxville,
Knoxville, TN 37996
e-mail: hdesmidt@utk.edu
and Biomedical Engineering,
University of Tennessee at Knoxville,
Knoxville, TN 37996
e-mail: hdesmidt@utk.edu
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 10, 2016; final manuscript received January 9, 2017; published online April 18, 2017. Assoc. Editor: Paul C.-P. Chao.
J. Vib. Acoust. Jun 2017, 139(3): 031010 (24 pages)
Published Online: April 18, 2017
Article history
Received:
March 10, 2016
Revised:
January 9, 2017
Citation
Jung, D., and DeSmidt, H. (April 18, 2017). "Nonsynchronous Vibration of Planar Autobalancer/Rotor System With Asymmetric Bearing Support." ASME. J. Vib. Acoust. June 2017; 139(3): 031010. https://doi.org/10.1115/1.4035814
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