滚珠自动控制转子系统强迫振动研究(1/2次分数谐波振动)

张小龙 魏井福 东亚斌 何育民

振动与冲击 ›› 2017, Vol. 36 ›› Issue (21) : 23-27.

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PDF(573 KB)
振动与冲击 ›› 2017, Vol. 36 ›› Issue (21) : 23-27.
论文

滚珠自动控制转子系统强迫振动研究(1/2次分数谐波振动)

  • 张小龙   魏井福   东亚斌 何育民
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Study on the Forced Vibration of Rotor Controlled by an  Automatic Ball Balancer (1/2 order Subharmonic Vibration)

  • Zhang Xiaolong, WEI Jingfu,  Dong Ya Bin, He Yu Min
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文章历史 +

摘要

应用两个滚珠在线自动平衡转子系统,并控制转子系统的强迫振动。目前相关研究主要集中在线性转子系统,然而实际的转子系统大多属于非线性系统,特别是在常见的滚动轴承等支承的转子系统中,由于装配误差等原因出现弱非线性弹性恢复力。本论文对具有弱非线性弹性恢复力作用的转子系统,在已完成的对主振动控制研究的基础上,通过理论解析与数值模拟,研究了两滚珠平衡制振时转子系统的1/2次分数谐波振动的响应特性及滚珠质量对振动响应大小的影响规律等。研究表明平衡滚珠在高速区域能够完全平衡非线性转子系统,对系统的1/2次分数谐波振动具有良好的制振性能。

Abstract

A rotor can be on-line balanced by using a balancer with two balls and its forced vibration can be suppressed well. Although, a rotor, especially supported by rolling elements bearings, often shows nonlinear character practically because of weakly elastic restoring forces caused by assembly error, etc., the relevant re-searches are mainly focused on linear one. In this paper, for the rotor acted by weakly nonlinear elastic restoring forces and balanced by two balls, based on the research about the control of principal vibration, the 1/2 order subharmonic vibration response characters and the effect of the mass of balls on the vibration amplitude are studied through theoretical analysis and numerical simulation. It can be concluded that the balls can balance the nonlinear rotor completely and suppress the amplitude of 1/2 order subharmonic vibration response well in the high speed region.

关键词

非线性转子系统 / 滚珠平衡 / 1/2次分数谐波振动 / 振动控制

Key words

Nonlinear Rotor Systems / Ball Balancer / 1/2 Subharmonic Vibration / Vibration Control

引用本文

导出引用
张小龙 魏井福 东亚斌 何育民. 滚珠自动控制转子系统强迫振动研究(1/2次分数谐波振动)[J]. 振动与冲击, 2017, 36(21): 23-27
Zhang Xiaolong, WEI Jingfu Dong Ya Bin, He Yu Min. Study on the Forced Vibration of Rotor Controlled by an  Automatic Ball Balancer (1/2 order Subharmonic Vibration)[J]. Journal of Vibration and Shock, 2017, 36(21): 23-27

参考文献

[1]Thearle E L. A New Type of Dynamic Balancing Machine[J]. Transactions of the ASME, 1932, 54(12):131-141.
[2]Chan T C, Sung C K, Chao C P. Friction Effect on Ball Posi-tioning of an Automatic Balancer in Optical Disk Drives[J]. Microsyst Technol, 2012, 18:1343–1351.
[3]Hai-Wei Chen, Qiu-Ju Zhang, Xiao-QingWu. Stability and dynamic analyses of a horizontal axis washing machine with a ball balancer[J]. Mechanism and Machine Theory, 2015, 87:131–149.
[4]Tadeusz Majewski. The Properties of a Dynamic Eliminator for Vehicle Vibrations[J]. Mechanism and Machine Theory, 2010, 45(10):1449–1461.
[5]井上順吉,末岡淳男.機械力学Ⅱ:非線形振動論[M].理工学社,2002.
INOUE Junkichi; SUEOKA Atsuo .Machine Dynamics II: theory of nonlinear oscillation[M]. Rikogakusha Publishing Co.,Ltd. 2002.
[6]太田博,石田幸男,前田博雅,横井勝彦.自動バランサに関する基礎的研究.日本機械学会全国大会論文集, 910-62(1991-10):29-32.
Hiroshi OTA, Yukio ISHIDA, Hiromasa MAEDA, Katsuhiko YOKOI. A Fundamental Study on an Automatic Dynamic Ba-lancer. JSME fall annual meeting, 910-62(1991-10):29-32.
[7]Tsuyoshi Inoue, Hideaki Niimi, Yukiko Ishida. Vibration analy-sis of the self-excited vibration in the rotor system due to ball balancer[C].IDETC/CIE 2009.
[8]Tsuyoshi Inoue, Yukiko Ishida, Hideaki Niimi. Vibration analy-sis of a self-excited vibration in a rotor system caused by a ball balancer[J]. Journal of Vibration and Acoustics, 2012,134(2):021006.
[9]Yukio Ishida, Tomonori Matsuura, Xiao Long Zhang. Efficiency Improvement of an Automatic Ball Balancer[J]. Journal of Vibration and Acoustics, 2012,134(2):021012.
[10]Ishida Y. Recent development of the passive vibration control method[J]. Mechanical Systems and Signal Processing, 2012,29:2-18.
[11]Shuichi YOSHIDA. Reduction Method of Residual Balancing Error in Auto-Balancer and its Motion Analysis[D]. Kyoto In-stitute of Technology, 2014.
[12]C.K. Sung, T.C. Chan, C.P. Chao, C.H. Lu. Influence of exter-nal excitations on ball positioning of an automatic balancer[J]. Mechanism and Machine Theory,2013,68:115-126.
[13]Yukio Ishida, Toshio Yamamoto. Linear and Nonlinear Rotor-dynamics: A Modern Treatment with Applications (2nd Enlarged and Improved Edition)[M]. Wiley,2012.
[14]T.C. Chan, C.K.Sung, PaulC.P.Chao. Non-linear suspension of an automatic ball balancer[J]. International Journal of Non-Linear Mechanics, 2011,46(2):415-424.
[15]Yukio Ishida, Zhang Xiao Long,Jun Liu, Tsuyoshi Inoue. Sup-pression of Nonlinear Resonances by an Automatic Ball Balancer. The Japan Society of Mechanical Engineers, Dynamics & Design Conference 2008.
[16]张小龙,东亚斌,何育民.滚珠自动控制转子系统强迫振动研究(非线性主共振)[J].振动与冲击,2013,32(17):90-94,103.
Zhang Xiao Long, Dong Ya Bin, He Yu Min. Forced Vibration of a rotor controlled by a Automatic Ball Balancer[J]. Journal of Vibration and Shock, 2013, 32(17):90-94,103

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