Variable stiffness tuned particle dampers for vibration control of cantilever boring bars

doi:10.1007/s10483-023-3055-9

摘要/Abstract

摘要： This research proposes a novel type of variable stiffness tuned particle damper (TPD) for reducing vibrations in boring bars. The TPD integrates the developments of particle damping and dynamical vibration absorber, whose frequency tuning principle is established through an equivalent theoretical model. Based on the multiphase flow theory of gas-solid, it is effective to obtain the equivalent damping and stiffness of the particle damping. The dynamic equations of the coupled system, consisting of a boring bar with the TPD, are built by Hamilton’s principle. The vibration suppression of the TPD is assessed by calculating the amplitude responses of the boring bar both with and without the TPD by the Newmark-beta algorithm. Moreover, an improvement is proposed to the existing gas-solid flow theory, and a comparative analysis of introducing the stiffness term on the damping effect is presented. The parameters of the TPD are optimized by the genetic algorithm, and the results indicate that the optimized TPD effectively reduces the peak response of the boring bar system.

关键词: particle, tuned particle damper (TPD), variable stiffness, vibration control

Abstract: This research proposes a novel type of variable stiffness tuned particle damper (TPD) for reducing vibrations in boring bars. The TPD integrates the developments of particle damping and dynamical vibration absorber, whose frequency tuning principle is established through an equivalent theoretical model. Based on the multiphase flow theory of gas-solid, it is effective to obtain the equivalent damping and stiffness of the particle damping. The dynamic equations of the coupled system, consisting of a boring bar with the TPD, are built by Hamilton’s principle. The vibration suppression of the TPD is assessed by calculating the amplitude responses of the boring bar both with and without the TPD by the Newmark-beta algorithm. Moreover, an improvement is proposed to the existing gas-solid flow theory, and a comparative analysis of introducing the stiffness term on the damping effect is presented. The parameters of the TPD are optimized by the genetic algorithm, and the results indicate that the optimized TPD effectively reduces the peak response of the boring bar system.

Key words: particle, tuned particle damper (TPD), variable stiffness, vibration control

中图分类号:

70Q05

Xiangying GUO, Yunan ZHU, Zhong LUO, Dongxing CAO, Jihou YANG. Variable stiffness tuned particle dampers for vibration control of cantilever boring bars[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(12): 2163-2186.

参考文献

[1] YANG, Y. Q., GAO, H. Y., MA, W. S., and LIU, Q. Design of a turning cutting tool with large length-diameter ratio based on three-element type vibration absorber. Proceedings of the Institution of Mechanical Engineers, Part B. Journal of Engineering Manufacture, 234(6-7), 1032– 1043(2020)
[2] GUO, Y. J., DONG, H. Y., WANG, G. F., and KE, Y. L. Vibration analysis and suppression in robotic boring process. International Journal of Machine Tools & Manufacture, 101, 102–110(2016)
[3] LU, Z., WANG, Z. X., ZHOU, Y., and LU, X. L. Nonlinear dissipative devices in structural vibration control: a review. Journal of Sound and Vibration, 423, 18–49(2018)
[4] YANG, Y., MUNOA, J., and ALTINTAS, Y. Optimization of multiple tuned mass dampers to suppress machine tool chatter. International Journal of Machine Tools & Manufacture, 50(9), 834–842(2010)
[5] WANG, D. Q., PENTER, L., HANEL, A., IHLENFELDT, S., and WIERCIGROCH, M. Stability enhancement and chatter suppression in continuous radial immersion milling. International Journal of Mechanical Sciences, 235, 22(2022)
[6] MATSUBARA, A., MAEDA, M., and YAMAJI, I. Vibration suppression of boring bar by piezoelectric actuators and LR circuit. Cirp Annals-Manufacturing Technology, 63(1), 373–376(2014)
[7] POUR, D. S. and BEHBAHANI, S. Semi-active fuzzy control of machine tool chatter vibration using smart MR dampers. International Journal of Advanced Manufacturing Technology, 83(1-4), 421–428(2016)
[8] XIA, Y., WAN, Y., LUO, X. C., WANG, H. W., GONG, N., CAO, J. L., LIU, Z. Q., and SONG, Q. H. Development of a toolholder with high dynamic stiffness for mitigating chatter and improving machining efficiency in face milling. Mechanical Systems and Signal Processing, 145, 106928(2020)
[9] HOUCK, L., SCHMITZ, T. L., and SCOTT SMITH, K. A tuned holder for increased boring bar dynamic stiffness. Journal of Manufacturing Processes, 13(1), 24–29(2011)
[10] MIGUELEZ, M. H., RUBIO, L., LOYA, J. A., and FERNANDEZ-SAEZ, J. Improvement of chatter stability in boring operations with passive vibration absorbers. International Journal of Mechanical Sciences, 52(10), 1376–1384(2010)
[11] RUBIO, L., LOYA, J. A., MIGUELEZ, M. H., and FERNANDEZ-SAEZ, J. Optimization of passive vibration absorbers to reduce chatter in boring. Mechanical Systems and Signal Processing, 41(1-2), 691–704(2013)
[12] LIU, X. L., LIU, Q., WU, S., LIU, L. J., and GAO, H. N. Research on the performance of damping boring bar with a variable stiffness dynamic vibration absorber. International Journal of Advanced Manufacturing Technology, 89(9-12), 2893–2906(2017)
[13] LIU, X. L., LIU, Q., WU, S., LI, R. Y., and GAO, H. N. Analysis of the vibration characteristics and adjustment method of boring bar with a variable stiffness vibration absorber. International Journal of Advanced Manufacturing Technology, 98(1-4), 95–105(2018)
[14] LI, L., SUN, B. B., and HUA, H. T. Analysis of the vibration characteristics of a boring bar with a variable stiffness dynamic vibration absorber. Shock and Vibration, 2019, 5284194(2019)
[15] TOMLINSON, G. R., PRITCHARD, D., and WAREING, R. Damping characteristics of particle dampers-some preliminary results. Proceedings of the Institution of Mechanical Engineers Part C-Journal of Mechanical Engineering Science, 215(3), 253–257(2001)
[16] XIAO, W. Q., LI, J. N., WANG, S., and FANG, X. M. Study on vibration suppression based on particle damping in centrifugal field of gear transmission. Journal of Sound and Vibration, 366, 62–80(2016)
[17] AFSHARFARD, A. and FARSHIDIANFAR, A. Free vibration analysis of nonlinear resilient impact dampers. Nonlinear Dynamics, 73(1-2), 155–166(2013)
[18] SUYAMA, D. I., DINIZ, A. E., and PEDERIVA, R. The use of carbide and particle-damped bars to increase tool overhang in the internal turning of hardened steel. International Journal of Advanced Manufacturing Technology, 86(5-8), 2083–2092(2016)
[19] BIJU, C. V. and SHUNMUGAM, M. S. Investigation into effect of particle impact damping (PID) on surface topography in boring operation. International Journal of Advanced Manufacturing Technology, 75(5-8), 1219–1231(2014)
[20] CHOCKALINGAM, S., NATARAJAN, U., and CYRIL, A. G. Damping investigation in boring bar using hybrid copper-zinc particles. Journal of Vibration and Control, 23(13), 2128–2134(2017)
[21] BAI, X. M., KEER, L. M., WANG, Q. J., and SNURR, R. Q. Investigation of particle damping mechanism via particle dynamics simulations. Granular Matter, 11(6), 417–429(2009)
[22] WONG, C. X., DANIEL, M. C., and RONGONG, J. A. Energy dissipation prediction of particle dampers. Journal of Sound and Vibration, 319(1-2), 91–118(2009)
[23] LU, Z., MASRI, S. F., and LU, X. L. Studies of the performance of particle dampers attached to a two-degrees-of-freedom system under random excitation. Journal of Vibration and Control, 17(10), 1454–1471(2011)
[24] MOULEESWARAN, S., MOHANASUNDARAM, K. M., and SENTHILKUMAR, M. Experimental studies on impact of particle damping on surface roughness of machined components in boring operation. European Journal of Scientific Research, 71, 327–337(2012)
[25] CHEN, T. N., MAO, K. M., HUANG, X. Q., and WANG, M. Y. Dissipation mechanisms of non-obstructive particle damping using discrete element method. Smart Structures and Materials 2001 Conference, Newport Beach, Ca, 294(2001)
[26] MEYER, N., SCHWARTZ, C., MORLOCK, M., and SEIFRIED, R. Systematic design of particle dampers for horizontal vibrations with application to a lightweight manipulator. Journal of Sound and Vibration, 510, 116319(2021)
[27] XIAO, W., YU, S., LIU, L., and ZHANG, F. Vibration reduction design of extension housing for printed circuit board based on particle damping materials. Applied Acoustics, 168, 107434(2020)
[28] YAO, B., CHEN, Q., XIANG, H. Y., and GAO, X. Experimental and theoretical investigation on dynamic properties of tuned particle damper. International Journal of Mechanical Sciences, 80, 122–130(2014)
[29] LI, S. and TANG, J. On vibration suppression and energy dissipation using tuned mass particle damper. Journal of Vibration and Acoustics, 139(1), 011008(2017)
[30] ZHANG, K., XI, Y. H., CHEN, T. N., and MA, Z. H. Experimental studies of tuned particle damper: design and characterization. Mechanical Systems and Signal Processing, 99, 219–228(2018)
[31] WANG, M., XU, H. D., HE, D. P., WANG, T., and ZHANG, J. W. Design of a damped vibration absorber to control the resonant vibration of roll. Mechanical Systems and Signal Processing, 178, 109262(2022)
[32] WU, C. J., LIAO, W. H., and WANG, M. Y. Modeling of granular particle damping using multiphase flow theory of gas-particle. Journal of Vibration and Acoustics, 126(2), 196–201(2004)
[33] LEI, X. F. and WU, C. J. Investigating the optimal damping performance of a composite dynamic vibration absorber with particle damping. Journal of Vibration Engineering & Technologies, 6(6), 503–511(2018)
[34] LEI, X. F. and WU, C. J. Dynamic response prediction of non-obstructive particle damping using principles of gas-solid flows. Journal of Vibroengineering, 18(7), 4692–4704(2016)
[35] ZHU, Y., CAO, D., LUO, Z., and GUO, X. Theoretical and experimental analysis on vibration absorber with particle damping. International Journal of Structural Stability and Dynamics (2023) https://doi.org/10.1142/S021945542350195X
[36] LEI, X. F., WU, C. J., and CHEN, P. Optimizing parameter of particle damping based on Leidenfrost effect of particle flows. Mechanical Systems and Signal Processing, 104, 60–71(2018)