Axial vibration reduction of a shaft structure using a centrifugal pendulum absorber with inerters

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (22) : 36-42.

QIN Meijuan1,JIN Xiaoling1,CHEN Michael Z.Q.2,HUANG Zhilong1

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Abstract

A shaft structure using a centrifugal pendulum absorber with inerters was studied.Based on the supposition of low-amplitude vibration, an axial dynamic equation of the shaft structure was established.Then the frequency response functions of the axial vibration of the shaft structure and the rotational vibration of the centrifugal pendulum were obtained.The influences of absorber parameters, such as the non-dimensional damping, mass ratio, and tuning function, on the axial vibration of the shaft structure were emphatically investigated.The optimization of absorber parameters for minimizing the resonant amplitude of axial vibration of the shaft structure was carried out.By using the fixed-point theory, the optimal non-dimensional damping was analytically expressed.The results indicate the tuning function has a significant effect on the axial vibration, and the maximum vibration reduction can also be achieved with a proper tuning function.Moreover, with the application of torsional inerters in the absorber, the tuning function can be easily adjusted.Finally, the axial vibration absorption effect of the centrifugal pendulum absorber with inerters was compared with that of a dynamic vibration absorber, and it is illustrated that the vibration reduction effect of the optimized centrifugal pendulum absorber with inerters is much better.

Key words

centrifugal pendulum absorber with inerters / the shaft / axial vibration / optimal design

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QIN Meijuan1,JIN Xiaoling1,CHEN Michael Z.Q.2,HUANG Zhilong1. Axial vibration reduction of a shaft structure using a centrifugal pendulum absorber with inerters[J]. Journal of Vibration and Shock, 2018, 37(22): 36-42

References

[1] Carter C B. Rotating pendulum absorbers with partly solid and partly liquid inertia members with mechanical or fluid damping[J]. British Patent, 1929,337:446.
[2] Wilson W K. Practical solution of torsional vibration problem[M]. London, Campman and Hall,1963.
[3] Madden J F. Constant frequency bifilar vibration absorber[P]. US Patent 4,218,187, 1980-8-19.
[4] 唐艾飞. 船舶推进轴系振动分析研究[D]. 武汉：武汉理工大学，2014.
     TANG Ai-fei. Vibration calculation of Ship Propulsion Shafting[D]. Wuhan: Wuhan University of Technology, 2014.
[5] 宋希庚，宋天相，李渤仲. 活塞式发动机轴系的耦合振动[J]. 大连理工大学学报，1989,29(6):675-680.
     SONG Xi-geng, SONG Tian-xiang, LI Bo-zhong. Couple vibration of crankshaft system in piston engine[J]. Journal of Dalian University of Technology, 1989,29(6):675-680.
[6] Poole R. The axial vibration of diesel engine crankshafts[J]. ARCHIVE Proceedings of the Institution of Mechanical Engineers 1847-1982 (vols 1-196), 1941,146(1941):167-182.
[7] 张标标，徐志军，葛蕴珊，等. 6120型车用发动机曲轴轴向振动的分析研究[J]. 内燃机工程，2001，22(04):20-23.
     ZHANG Biao-biao, XU Zhi-jun, GE Yun-hui,et al. Research and analysis of axial vibration of crankshaft in model 6120 vihicle diesel engine[J]. Chinese Internal Combustion Engine Engineering,2001,22(04):20-23.
[8] Reed F. The use of the centrifugal pendulum absorber for the reduction of linear vibration [J]. Journal of Appllied Mechanics-Transactions of The ASME, 1949,16(2):190-194.
[9] Yoshida Y. Development of a centrifugal pendulum absorber for reducing ship superstructure vibration[J]. ASME Journal of Vibration, Acoustics, Stress and Reliability in Design,    1989,111(4):404.
[10] Longoria R G, Narayanan V A. Modeling and design of an inertial vibration reflector[J]. Transactions-American Society of Mechanical Engine Journal of Mechanical Design, 1997, 119:20-27.
[11] Hollkamp J J, Bagley R L, Gordon R W. A centrifugal pendulum absorber for rotating, hollow engine blades[J]. Journal of Sound & Vibration, 1999,219(3):537-547.
[12] Smith M C. Synthesis of mechanical networks: the inerter[J]. IEEE Transactions on Automatic Control, 2002,47(10):1648-1662.
[13] Chen M Z Q, Hu Y, Huang L, et al. Influence of inerter on natural frequencies of vibration systems [J]. Journal of Sound & Vibration, 2014,333(7):1874-1887.
[14] Hu Y, Chen M Z Q, Shu Z. Passive vehicle suspensions employing inerters with multiple performance requirements[J]. Journal of Sound & Vibration, 2014,333(8):2212-2225.
[15] Hu Y, Chen M Z Q, Shu Z, et al. Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution[J]. Journal of Sound & Vibration, 2015,346(1):17-36.
[16] Smith M C. Force-controlling mechanical device[P]. US Patent 20,050,034,943, 2005-2-17.
[17] Lazar I F, Neild S A, Wagg D J. Using an inerter-based device for structural vibration suppression[J]. Earthquake Engineering & Structural Dynamics, 2014,43(8):1129-1147.
[18] Shen Y, Chen L, Yang X, et al. Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension[J]. Journal of Sound and Vibration, 2016, 361:148-158.
[19] Marian L, Giaralis A. Optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems[J]. Probabilistic Engineering Mechanics, 2014,38:156-164.
[20] 聂佳梅，张孝良，江浩斌，等. 惯容器模型结构探索[J]. 机械设计与研究，2012,28(01):29-32.
     NIE Jia-mei, ZHANG Xiao-liang, JIANG Hao-bin, et al. Research on the inerter structure[J]. Machine Design and Research, 2012, 28(01):29-32.
[21] 刘建新，李子青，郝宪武. 结构振动与控制[M]. 人民交通出版社，1998.
[22] 何伟. 船舶推进轴系振动计算及仿真系统开发[D]. 武汉：华中科技大学，2012.
     He Wei. The calculation and simulation system development for the vibration of Ship Propulsion Shafting system[D]. Wuhan: Huazhong University of Science and Technology, 2012.
[23] Hartog J P D. Mechanical vibrations. 4th ed[M]. McGraw-Hill, New York, 1956.