Journal of Mechanical Science and Technology

, Volume 33, Issue 6, pp 2587–2595 | Cite as

Optimizing location of particle damper using principles of gas-solid flow

  • Xiaofei LeiEmail author
  • Chengjun Wu
  • Peng Chen
  • Hengliang Wu
  • Jianyong Wang


Particle damping is a passive control technology with strong nonlinearity whose damping effect is relative to the vibration intensity where a particle damper is installed. Then, seeking the optimal installing location of the particle damper to improve the damping effect and vibration control performance is an important research project. To this problem, bound optimization by quadratic approximation (BOBYQA) was employed to discuss the optimal location of a particle damper at the both fixed end plate. For theoretically evaluating the damping effect and invoking it into BOBYQA, the principle of gas-solid flow was used to study the damping effect and establish the theoretical model of particle damping. Further, the estimation precision of the mathematical model was verified by experiment; the results indicate that the proposed mathematical model can more accurately predict the dynamic response of a particle damper installed at both fixed end plate. Therefore, a mathematical model was employed to discuss the optimal position of the particle damper for minimizing maximum amplitude (MMA). The results indicate that particle damper should be installed at the model top close to the monitoring point; if there are two resonances whose amplitudes are equivalent or approximate, the particle damper should be installed at the junction of these model tops.


Particle damping Principle of gas and solid Minimize maximum amplitude Anisotropy of particle damping effect Bound optimization by quadratic approximation 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.



This research was supported by Natural Science Foundation of Shaanxi Provincial Department of Education (Project NO. 596311136) and Scientific Research Starting Foundation of Xi’an University of Technology (Project NO.108-451118002).


  1. [1]
    H. V. Panossian, Structural damping enhancement via non-obstructive particle damping technique, Trans. ASME J. of Vibration Acoustics, 114 (1992) 101–105.CrossRefGoogle Scholar
  2. [2]
    B. Darabi, J. A. Rongong and T. Zhang, Viscoelastic granular dampers under low-amplitude vibration, J. of Vibration and Control, 24 (2018) 708–721.CrossRefGoogle Scholar
  3. [3]
    S. Simonian, V. Camelo, S. Brennan, N. Abbruzzese and B. Gualta, Particle damping applications for shock and acoustic environment attenuation, 49th AIAA/ASME/ASCE/AHS/ASC structures, Structural Dynamics, and Materials Conference, American Institute of Aeronautics and Astronautics Inc., Schaumburg, IL, United States (2008).Google Scholar
  4. [4]
    X. Lei and C. Wu, Dynamic response prediction of nonobstructive particle damping using principles of gas-solid flows, J. of Vibroengineering, 18 (2016) 4692–4704.CrossRefGoogle Scholar
  5. [5]
    Z. Xu, M. Y. Wang and T. Chen, Particle damping for passive vibration suppression: Numerical modelling and experimental investigation, J. of Sound and Vibration, 279 (2005) 1097–1120.CrossRefGoogle Scholar
  6. [6]
    K. Zhang, T. Chen, X. Wang and J. Fang, Rheology behavior and optimal damping effect of granular particles in a nonobstructive particle damper, J. of Sound and Vibration, 364 (2016) 30–43.CrossRefGoogle Scholar
  7. [7]
    X. Lei and C. Wu, Non-obstructive particle damping using principles of gas-solid flows, J. of Mechanical Science and Technology, 31 (2017) 1057–1065.CrossRefGoogle Scholar
  8. [8]
    Z. Cui, J. H. Wu, H. Chen and D. Li, A quantitative analysis on the energy dissipation mechanism of the non-obstructive particle damping technology, J. of Sound and Vibration, 330 (2011) 2449–2456.CrossRefGoogle Scholar
  9. [9]
    Y. Duan and Q. Chen, Simulation and experimental investigation on dissipative properties of particle dampers, J. of Vibration and Control, 17 (2011) 777–788.CrossRefGoogle Scholar
  10. [10]
    J. M. Bajkowski, B. Dyniewicz and C. I. Bajer, Damping properties of a beam with vacuum-packed granular damper, J. of Sound and Vibration, 341 (2015) 74–85.CrossRefGoogle Scholar
  11. [11]
    Z. Lu, X. Lu and S. F. Masri, Studies of the performance of particle dampers under dynamic loads, J. of Sound and Vibration, 329 (2010) 5415–5433.CrossRefGoogle Scholar
  12. [12]
    K. Mao, M. Y. Wang, Z. Xu and T. Chen, DEM simulation of particle damping, Powder Technology, 142 (2004) 154–165.CrossRefGoogle Scholar
  13. [13]
    P. Veeramuthuvel, K. Shankar and K. K. Sairajan, Prediction of particle damping parameters using RBF neural network, Procedia Materials Science, 5 (2014) 335–344.CrossRefGoogle Scholar
  14. [14]
    D. Wang and C. Wu, Parameter estimation and arrangement optimization of particle dampers on the cantilever rectangular plate, J. of Vibroengineering, 17 (2015) 2503–2520.Google Scholar
  15. [15]
    L. S. Fan and C. Zhu, Principles of Gas-solid Flows, Cambridge University Press (1998).CrossRefzbMATHGoogle Scholar
  16. [16]
    M. J. D. Powell, The BOBYQA Algorithm for Bound Constrained Optimization Without Derivatives, Technial Report, Department of Applied Mathematics and Theoretical Physics (2009).Google Scholar

Copyright information

© KSME & Springer 2019

Authors and Affiliations

  • Xiaofei Lei
    • 1
    Email author
  • Chengjun Wu
    • 2
  • Peng Chen
    • 3
  • Hengliang Wu
    • 4
  • Jianyong Wang
    • 4
  1. 1.Faculty of Printing, Packaging Engineering and Digital Media TechnologyXi’an University of TechnologyXi’anChina
  2. 2.School of Mechanical EngineeringXi’an Jiaotong UniversityXi’anChina
  3. 3.China Ship Development and Design CenterWuhanChina
  4. 4.Shanghai Marine Diesel Engine Research InstituteShanghaiChina

Personalised recommendations