Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. V. Panossian, Structural damping enhancement via non-obstructive particle damping technique, Trans. ASME J. of Vibration Acoustics, 114 (1992) 101–105.
B. Darabi, J. A. Rongong and T. Zhang, Viscoelastic granular dampers under low-amplitude vibration, J. of Vibration and Control, 24 (2018) 708–721.
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).
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.
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.
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.
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.
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.
Y. Duan and Q. Chen, Simulation and experimental investigation on dissipative properties of particle dampers, J. of Vibration and Control, 17 (2011) 777–788.
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.
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.
K. Mao, M. Y. Wang, Z. Xu and T. Chen, DEM simulation of particle damping, Powder Technology, 142 (2004) 154–165.
P. Veeramuthuvel, K. Shankar and K. K. Sairajan, Prediction of particle damping parameters using RBF neural network, Procedia Materials Science, 5 (2014) 335–344.
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.
L. S. Fan and C. Zhu, Principles of Gas-solid Flows, Cambridge University Press (1998).
M. J. D. Powell, The BOBYQA Algorithm for Bound Constrained Optimization Without Derivatives, Technial Report, Department of Applied Mathematics and Theoretical Physics (2009).
Acknowledgments
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).
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Jin Woo Lee
Xiaofei Lei received his Ph.D. in mechanical engineering at Xi’an Jiaotong University in 2018. Now, he is as an Assistant Professor at Xi’an University of Technology. His current research interests include strength and vibration of mechanical structures, computational fluid dynamics and artillery and mobile
Rights and permissions
About this article
Cite this article
Lei, X., Wu, C., Chen, P. et al. Optimizing location of particle damper using principles of gas-solid flow. J Mech Sci Technol 33, 2587–2595 (2019). https://doi.org/10.1007/s12206-019-0506-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-019-0506-8