Research Papers

Optimal Design and Experimental Study of a Multidynamic Vibration Absorber for Multifrequency Excitation

[+] Author and Article Information
Xi Wang

Institute of Vibration, Shock and Noise,
State Key Laboratory of Mechanical System
and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: wangxi028@foxmail.com

Bintang Yang

Institute of Vibration, Shock and Noise,
State Key Laboratory of Mechanical System
and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: btyang@sjtu.edu.cn

Hu Yu

Institute of Vibration, Shock and Noise,
State Key Laboratory of Mechanical System
and Vibration,
School of Mechanical Engineering,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: sj.yuhu@sjtu.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 20, 2016; final manuscript received January 6, 2017; published online April 24, 2017. Assoc. Editor: John Judge.

J. Vib. Acoust 139(3), 031011 (Apr 24, 2017) (7 pages) Paper No: VIB-16-1313; doi: 10.1115/1.4035781 History: Received June 20, 2016; Revised January 06, 2017

The inevitable manufacturing errors of rotational machineries cause vibration of multifrequency. This paper presents a multidynamic vibration absorber (MDVA) to suppress the vibration of multifrequency. The MDVA consists of two parts, and each part includes three dynamic vibration absorbers (DVAs) with equal mass but different stiffness values. In order to improve the robustness of the system, an optimization method to obtain the optimal damping values of each DVA is proposed based on dynamic response. The objective function of optimization aims to flatten the frequency response of the primary system with the changeable excitation and reduce the vibration level in a limited frequency bandwidth. The multifrequency vibration suppression is experimentally verified. To achieve the optimal damping values, the magnetic dampers are applied in the tests. The experimental results indicate that the sensitivity of the system is reduced and the robustness of the system is enhanced, which are coincident with the simulations.

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Inamori, T. , Wang, J. , Saisutjarit, P. , and Nakasuka, S. , 2013, “ Jitter Reduction of a Reaction Wheel by Management of Angular Momentum Using Magnetic Torquers in Nano-and Micro-Satellites,” Adv. Space Res., 52(1), pp. 222–231. [CrossRef]
Villa, L. F. , Reñones, A. , Perán, J. R. , and De Miguel, L. J. , 2011, “ Angular Resampling for Vibration Analysis in Wind Turbines Under Non-Linear Speed Fluctuation,” Mech. Syst. Signal Process., 25(6), pp. 2157–2168. [CrossRef]
Hunt, J. B. , 1979, Dynamic Vibration Absorbers, Mechanical Engineering Publications, London.
Den Hartog, J. P. , 1985, Mechanical Vibrations, Courier Corporation, New York.
Korenev, B. G. , and Reznikov, L. M. , 1993, Dynamic Vibration Absorbers: Theory and Technical Applications, Wiley, New York.
Nagaya, K. , Kurusu, A. , Ikai, S. , and Shitani, Y. , 1999, “ Vibration Control of a Structure by Using a Tunable Absorber and an Optimal Vibration Absorber Under Auto-Tuning Control,” J. Sound Vib., 228(4), pp. 773–792. [CrossRef]
Liu, J. , and Liu, K. , 2006, “ A Tunable Electromagnetic Vibration Absorber: Characterization and Application,” J. Sound Vib., 295(3), pp. 708–724. [CrossRef]
Lin, J. , and Liu, W. Z. , 2006, “ Experimental Evaluation of a Piezoelectric Vibration Absorber Using a Simplified Fuzzy Controller in a Cantilever Beam,” J. Sound Vib., 296(3), pp. 567–582. [CrossRef]
Nambu, Y. , Takashima, T. , and Inagaki, A. , 2015, “ Robust Design Method and Thermostatic Experiment for Multiple Piezoelectric Vibration Absorber System,” Smart Mater. Struct., 24(12), p. 125016. [CrossRef]
Williams, K. A. , Chiu, G. C. , and Bernhard, R. J. , 2005, “ Dynamic Modelling of a Shape Memory Alloy Adaptive Tuned Vibration Absorber,” J. Sound Vib., 280(1), pp. 211–234. [CrossRef]
Mani, Y. , and Senthilkumar, M. , 2015, “ Shape Memory Alloy-Based Adaptive-Passive Dynamic Vibration Absorber for Vibration Control in Piping Applications,” J. Vib. Control, 21(9), pp. 1838–1847. [CrossRef]
Lee, H. S. , and Choi, S. B. , 2000, “ Control and Response Characteristics of a Magneto-Rheological Fluid Damper for Passenger Vehicles,” J. Intell. Mater. Syst. Struct., 11(1), pp. 80–87. [CrossRef]
Sun, S. , Deng, H. , Yang, J. , Li, W. , Du, H. , Alici, G. , and Nakano, M. , 2015, “ An Adaptive Tuned Vibration Absorber Based on Multilayered MR Elastomers,” Smart Mater. Struct., 24(4), p. 045045. [CrossRef]
Xu, K. , and Igusa, T. , 1992, “ Dynamic Characteristics of Multiple Substructures With Closely Spaced Frequencies,” Earthquake Eng. Struct. Dyn., 21(12), pp. 1059–1070. [CrossRef]
Yamaguchi, H. , and Harnpornchai, N. , 1993, “ Fundamental Characteristics of Multiple Tuned Mass Dampers for Suppressing Harmonically Forced Oscillations,” Earthquake Eng. Struct. Dyn., 22(1), pp. 51–62. [CrossRef]
Wang, X. , Yang, B. , You, J. , and Gao, Z. , 2016, “ Coarse-Fine Adaptive Tuned Vibration Absorber With High Frequency Resolution,” J. Sound Vib., 383, pp. 46–63. [CrossRef]
Igusa, T. , and Xu, K. , 1990, “ Wide-Band Response Characteristics of Multiple Subsystem With High Modal Density,” 2nd International Conference Stochastic Structural Dynamics, Boca Raton, FL, May 9–11.
Zuo, L. , and Nayfeh, S. A. , 2005, “ Optimization of the Individual Stiffness and Damping Parameters in Multiple-Tuned-Mass-Damper Systems,” ASME J. Vib. Acoust., 127(1), pp. 77–83. [CrossRef]
Yang, Y. , Munoa, J. , and Altintas, Y. , 2010, “ Optimization of Multiple Tuned Mass Dampers to Suppress Machine Tool Chatter,” Int. J. Mach. Tools Manuf., 50(9), pp. 834–842. [CrossRef]
Li, H. N. , and Ni, X. L. , 2007, “ Optimization of Non-Uniformly Distributed Multiple Tuned Mass Damper,” J. Sound Vib., 308(1), pp. 80–97. [CrossRef]
Jangid, R. S. , 1999, “ Optimum Multiple Tuned Mass Dampers for Base-Excited Undamped System,” Earthquake Eng. Struct. Dyn., 28(9), pp. 1041–1049. [CrossRef]
Bakre, S. V. , and Jangid, R. S. , 2004, “ Optimum Multiple Tuned Mass Dampers for Base-Excited Damped Main System,” Int. J. Struct. Stab. Dyn., 4(4), pp. 527–542. [CrossRef]
Sinha, A. , 2015, “ Optimal Damped Vibration Absorber: Including Multiple Modes and Excitation Due to Rotating Unbalance,” ASME J. Vib. Acoust., 137(6), p. 064501. [CrossRef]
Asami, T. , 2017, “ Optimal Design of Double-Mass Dynamic Vibration Absorbers Arranged in Series or in Parallel,” ASME J. Vib. Acoust., 139(1), p. 011015. [CrossRef]
Cunefare, K. A. , De Rosa, S. , Sadegh, N. , and Larson, G. , 2000, “ State-Switched Absorber for Semi-Active Structural Control,” J. Intell. Mater. Syst. Struct., 11(4), pp. 300–310. [CrossRef]
Sun, H. L. , Zhang, P. Q. , Chen, H. B. , Zhang, K. , and Gong, X. L. , 2008, “ Application of Dynamic Vibration Absorbers in Structural Vibration Control Under Multi-Frequency Harmonic Excitations,” Appl. Acoust., 69(12), pp. 1361–1367. [CrossRef]
Seto, K. , 2010, Dynamic Vibration Absorber and Its Applications (in Japanese), Corona, Tokyo, Japan.


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Fig. 1

Single-degree-of-freedom structure with MDVA

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Fig. 2

Frequency distribution of the MDVA

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Fig. 3

Frequency response of the primary system with the single-frequency excitation: (a) primary system with MDVA-1 or single DVA and (b) primary system with MDVA-2 or single DVA

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Fig. 4

Frequency response of the primary system with the multifrequency excitation: (a) before optimizing and (b) after optimizing

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Fig. 5

MDVA for experimental verification: (a) experimental setup of the MDVA and (b) schematic diagram of the experimental MDVA

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Fig. 6

Frequency response of the primary system

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Fig. 7

Time response of the primary system with the multifrequency excitation

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Fig. 8

Comparison of vibration suppression with different absorbers

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Fig. 9

Magnetic damper: (a) schematic diagram and (b) experimental setup

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Fig. 10

Experimental results of the parameters optimizing: (a) before optimizing and (b) after optimizing (the maximum vibration amplitude is decreased and flatted by the magnetic dampers)




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