Abstract
Considering the complexity geometry and thin wall feature, the semiconical shell workpiece will induce complicated and intense vibration in the milling process leading to poor surface quality and large machining deformation. In order to suppress the vibration, this paper focused on the semiconical shell workpiece and proposed a multiple distribution tuned mass damper (MDTMD) vibration control technique by attaching a series of optimized tuned mass dampers (TMD) to each optimal position of workpiece. The vibration characteristics and modal shapes of workpiece were obtained with the use of spectro-geometric-Ritz method (SGM) and the dynamic model of workpiece with MDTMD was established. A novel design of TMD was proposed. The optimal parameters and positions of each TMD were determined simultaneously using numerical optimization algorithm based on the modal summation method. Theoretical studies and experiment results shown that the proposed MDTMD method can remarkably improve the dynamic stiffness of the workpiece. The performance of vibration suppression is further verified in the impact tests and milling experiments.
Similar content being viewed by others
References
Wang TS, Lin CC (1996) Dynamic analysis of generally supported beams using Fourier series [J]. J Sound Vib 196(3):285–293
Beslin O, Nicolas J (1997) A hierarchical functions set for predicting very high order plate bending modes with any boundary conditions [J]. J Sound Vib 202(5):633–655
Bardell NS, Dunsdon JM, Langley RS (1998) Free vibration of thin, isotropic, open, conical panels [J]. J Sound Vib 217(2):297–320
Li WL (2000) Free vibrations of beams with general boundary conditions [J]. J Sound Vib 237(4):709–725
Shi D, Shi X, Li WL, Wang Q (2014) Free transverse vibrations of orthotropic thin rectangular plates with arbitrary elastic edge supports [J]. J Vibroeng 16(1):389–398
Jiang S, Yang T, Du J, Hu Y (2011) Research on frequency-tuned dynamic vibration absorber [J]. Appl Mech Mater 66:1762–1768
Kalinski KJ, Galewski MA (2015) Optimal spindle speed determination for vibration reduction during ball-end milling of flexible details [J]. Int J Mach Tools Manuf 92:19–30
Yang Y, Zhang WH, Ma YC, Wan M (2016) Chatter prediction for the peripheral milling of thin-walled workpieces with curved surfaces [J]. Int J Mach Tools Manuf 109:36–48
Yang Y, Dai W, Liu Q (2017) Design and machining application of a two-DOF magnetic tuned mass damper [J]. Int J Adv Manuf Technol 89(5–8):1–9
Heng Y, Min W, Yun Y, Zhang WH (2017) A tunable passive damper for suppressing chatters in thin-wall milling by considering the varying modal parameters of the workpiece [J]. Int J Adv Manuf Technol 89(5–8):1–9
Yang Y, Xie R, Liu Q (2017) Design of a passive damper with tunable stiffness and its application in thin-walled part milling [J]. Int J Adv Manuf Technol 89(9–12):2713–2720
Davood P, Saeed B (2016) Semi-active fuzzy control of machine tool chatter vibration using smart MR dampers [J]. Int J Adv Manuf Technol 83:421–428
Minh DD, Younghoon S, Hae JC (2018) Optimal workpiece positioning in flexible fixtures for thin-walled components [J]. Comput Aided Des 95:14–23
Matsubara A, Taniyama Y, Wang J, Kono D (2017) Design of a support system with a pivot mechanism for suppressing vibrations in thin-wall milling [J]. CIRP Ann Manuf Technol 66:381–384
Zhang Y, Sims ND (2005) Milling workpiece chatter avoidance using piezoelectric active damping: a feasibility study [J]. Smart Mater Struct 14(6):N65–N70
Dohner JL, Lauffer JP, Hinnerichs TD, Shankar N, Regelbrugge M, Kwan CM, Xu R, Winterbauer B, Bridger K (2004) Mitigation of chatter instabilities in milling by active structural control [J]. J Sound Vib 269(1–2):197–211
Wang C, Zhang X, Liu Y, Cao H, Chen X (2018) Stiffness variation method for milling chatter suppression via piezoelectric stack actuators [J]. Int J Mach Tools Manuf 124:53–66
Zhang X, Wang C, Liu J, Yan R, Cao H, Chen X (2019) Robust active control based milling chatter suppression with perturbation model via piezoelectric stack actuators [J]. Mech Syst Signal Process 120:808–835
Wang C, Zhang X, Liu J, Cao H, Chen X (2019) Adaptive vibration reshaping based milling chatter suppression [J]. Int J Mach Tools Manuf 141:30–35
Ma J, Zhang D, Wu B, Luo M, Chen B (2016) Vibration suppression of thin-walled workpiece machining considering external damping properties based on magnetorheological fluids flexible fixture [J]. Chin J Aeronaut 29(4):1074–1083
Zhang Z, Li H, Liu X, Zhang W, Meng G (2018) Chatter mitigation for the milling of thin-walled workpiece [J]. Int J Mech Sci 138-139:262–271
Kolluru K, Axinte D, Becker A (2013) A solution for minimising vibrations in milling of thin walled casings by applying dampers to workpiece surface [J]. CIRP Ann Manuf Technol 62(1):415–418
Bolsunovsky S, Vermel V, Gubanov G, Leontiev A (2013) Reduction of flexible workpiece vibrations with dynamic support realized as tuned mass damper [J]. Procedia CIRP 8:230–234
Heng Y, Min W, Yun Y (2019) Design of a tunable mass damper for mitigating vibrations in milling of cylindrical parts [J]. Chin J Aeronaut 32(3):748–758
Wan M, Dang XB, Zhang WH, Yang Y (2018) Optimization and improvement of stable processing condition by attaching additional masses for milling of thin-walled workpiece [J]. Mech Syst Signal Process 103:196–215
Wang M, Zan T, Gao X, Li S (2016) Suppression of the time-varying vibration of ball screws induced from the continuous movement of the nut using multiple tuned mass dampers [J]. Int J Mach Tools Manuf 107:41–49
Leissa AW (1973) Vibration of shells [M], vol 288. Scientific and Technical Information Office, National Aeronautics and Space Administration, Washington, DC
Funding
This work was supported by the National Natural Foundation of China (Grant numbers 51975020, 51575014); the Advance Research Program Foundation of Equipment (Grant numbers E0001011201801); the National Defense Scientific Research Project (Grant number JCKY2014204B003); the Beijing Natural Science Foundation (Grant numbers 3204041); and the Beijing Postdoctoral Research Foundation.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Qin, P., Liu, Y., Wang, M. et al. Milling vibration control of semiconical shell workpiece with multiple distribution tuned mass dampers. Int J Adv Manuf Technol 115, 2175–2190 (2021). https://doi.org/10.1007/s00170-020-06427-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-020-06427-y