Abstract
The traditional probabilistic-based lifetime evaluation methods for motorized spindles ignore the effects of load dynamic and structural difference. Therefore, we propose a dynamic model-based lifetime estimation method that combines these effects to improve the estimation results for motorized spindles, especially at the design stage. Given that bearing lifetime dramatically influences the reliability of motorized spindles, this paper also designs a shaft-bearing-toolholder based on a dynamic model to estimate the lifetime of bearing group. The proposed dynamic model closely resembles the actual structure of spindles and indicates the stiffness of bearings and contact surface conditional on the nonlinearity of inputting radial and axial forces. The stiffness model is verified by performing an experiment and a finite element analysis. The load applied to bearings is accurately calculated using the dynamic model. Afterward, the load is introduced to a well-known bearing lifetime model, and the lifetime of each bearing and bearing group is calculated. The bearing lifetime results obtained under preload, clamping force and cutting force conditions are then discussed.
Similar content being viewed by others
References
Baur M, Albertelli P, Monno M (2020) A review of prognostics and health management of machine tools. Int J Adv Manuf Technol 107:2843–2863. https://doi.org/10.1007/s00170-020-05202-3
Patil RB, Kothavale BS, Waghmode LY (2019) Selection of time-to-failure model for computerized numerical control turning center based on the assessment of trends in maintenance data. P I MECH ENG O-J RIS 233(2):105–117. https://doi.org/10.1177/1748006X18759124
Zhang Z, Cheng Q, Qi B, Tao Z (2021) A general approach for the machining quality evaluation of S-shaped specimen based on POS-SQP algorithm and Monte Carlo method. J Manuf Syst 60:553–568. https://doi.org/10.1016/j.jmsy.2021.07.020
Cao H, Zhang X, Chen X (2017) The concept and progress of intelligent spindles: a review. Int J Mach Tools Manuf 112:21–52. https://doi.org/10.1016/j.ijmachtools.2016.10.005
Ritou M, Rabréau C, Le Loch S et al (2018) Influence of spindle condition on the dynamic behavior. CIRP Ann 67:419–422. https://doi.org/10.1016/j.cirp.2018.03.007
Jin T, Yan C, Chen C, Yang Z, Tian H, Guo J (2021) New domain adaptation method in shallow and deep layers of the CNN for bearing fault diagnosis under different working conditions. Int J Adv Manuf Technol 2021:1–12. https://doi.org/10.1007/s00170-021-07385-9
Lv Y, Li C, Jin Y, He J, Li J (2021) Energy saving design of the spindle of CNC lathe by structural optimization. Int J Adv Manuf Technol 114:541–562. https://doi.org/10.1007/s00170-021-06758-4
He X (2016) Recent development in reliability analysis of NC machine tools. Int J Adv Manuf Technol 85:115–131. https://doi.org/10.1007/s00170-015-7926-0
Yang Z, Kan Y, Chen F, Xu B, Chen C, Yang C (2015) Bayesian reliability modeling and assessment solution for NC machine tools under small-sample data. Chinese J Mech Eng 28:1229–1239. https://doi.org/10.3901/CJME.2015.0707.088
Peng C, Cai Y, Liu G, Liao TW (2020) Developing a reliability model of CNC system under limited sample data based on multisource information fusion. Math Probl Eng 2020:1–10. https://doi.org/10.1155/2020/3645858
Yang Z, Li X, Chen C, Zhao H, Yang D, Guo J, Luo W (2019) Reliability assessment of the spindle systems with a competing risk model. Proc Inst Mech Eng Part O J Risk Reliab 233:226–234. https://doi.org/10.1177/1748006X18770343
Mu Z, Zhang G, Ran Y, Zhang S, Li J (2019) A reliability statistical evaluation method of CNC machine tools considering the mission and load profile. IEEE Access 7:115594–115602. https://doi.org/10.1109/ACCESS.2019.2935622
Peng W, Li Y, Yang Y et al (2017) Bayesian degradation analysis with inverse gaussian process models under time-varying degradation rates. IEEE Trans Reliab 66:84–96. https://doi.org/10.1109/TR.2016.2635149
Guo J, Huang HZ, Peng W, Zhou J (2019) Bayesian information fusion for degradation analysis of deteriorating products with individual heterogeneity. Proc Inst Mech Eng Part O J Risk Reliab 233:615–622. https://doi.org/10.1177/1748006X188089642
Fu B, Zhao J, Li B, Yao J, Mouafo Teifouet AR, Sun L, Wang Z (2020) Fatigue reliability analysis of wind turbine tower under random wind load. Struct Saf 87:101982. https://doi.org/10.1016/j.strusafe.2020.101982
Nejad AR, Gao Z, Moan T (2014) On long-term fatigue damage and reliability analysis of gears under wind loads in offshore wind turbine drivetrains. Int J Fatigue 61:116–128. https://doi.org/10.1016/j.ijfatigue.2013.11.023
Cheng Q, Qi B, Liu Z, Zhang C, Xue D (2019) An accuracy degradation analysis of ball screw mechanism considering time-varying motion and loading working conditions. Mech Mach Theory 134:1–23. https://doi.org/10.1016/j.mechmachtheory.2018.12.024
Li G, Wang S, He J, Wu K, Zhou C (2019) Compilation of load spectrum of machining center spindle and application in fatigue life prediction. J Mech Sci Technol 33:1603–1613. https://doi.org/10.1007/s12206-019-0312-3
Zhang Y, Zhang M, Wang Y, Xie L (2020) Fatigue life analysis of ball bearings and a shaft system considering the combined bearing preload and angular misalignment. Appl Sci 10:1–22. https://doi.org/10.3390/APP100827502
Nelson HD (1980) A finite rotating shaft element using Timoshenko beam theory. J Mech Design 102:793–803. https://doi.org/10.1115/1.3254824
Inman DJ (2008) Engineering Vibration. 3rd edn. Prentice Hall, New Jersey
Xia Y, Wan Y, Luo X, Wang H, Gong N, Cao J, Liu Z, Song Q (2020) Development of a toolholder with high dynamic stiffness for mitigating chatter and improving machining efficiency in face milling. Mech Syst Signal Process 145:106928. https://doi.org/10.1016/j.ymssp.2020.106928
Sakamoto H, Matsuda T, Shimizu S (2012) Effect of clamped toolholders on dynamic characteristics of spindle system of machining center. Int J Autom Technol 6:168–174. https://doi.org/10.20965/ijat.2012.p0168
Mehrpouya M, Graham E, Park SS (2013) FRF based joint dynamics modeling and identification. Mech Syst Signal Process 39:265–279. https://doi.org/10.1016/j.ymssp.2013.03.022
Özşahin O, Budak E, Özgüven HN (2015) In-process tool point FRF identification under operational conditions using inverse stability solution. Int J Mach Tools Manuf 89:64–73. https://doi.org/10.1016/j.ijmachtools.2014.09.014
Yang Y, Wan M, Ma YC, Zhang WH (2018) A new method using double distributed joint interface model for three-dimensional dynamics prediction of spindle-holder-tool system. Int J Adv Manuf Technol 95:2729–2745. https://doi.org/10.1007/s00170-017-1394-7
Cao Y, Altintas Y (2004) A general method for the modeling of spindle-bearing systems. J Mech Des Trans ASME 126:1089–1104. https://doi.org/10.1115/1.1802311
Yoshimura M (1979) Computer-aided design improvement of machine tool structure incorporation joint dynamic data. Ann CIRP 28(1):241–246
Xu C, Zhang J, Feng P, Yu D, Wu Z (2014) Characteristics of stiffness and contact stress distribution of a spindle-holder taper joint under clamping and centrifugal forces. Int J Mach Tools Manuf 82–83:21–28. https://doi.org/10.1016/j.ijmachtools.2014.03.006
Liu J, Ma C, Wang S, Wang S, Yang B (2019) Contact stiffness of spindle-tool holder based on fractal theory and multi-scale contact mechanics model. Mech Syst Signal Process 119:363–379. https://doi.org/10.1016/j.ymssp.2018.09.037
Naderi M, Iyyer N (2015) Fatigue life prediction of cracked attachment lugs using XFEM. Int J Fatigue 77:186–193. https://doi.org/10.1016/j.ijfatigue.2015.02.021
Yakout M, Elkhatib A, Nassef MGA (2018) Rolling element bearings absolute life prediction using modal analysis. J Mech Sci Technol 32:91–99. https://doi.org/10.1007/s12206-017-1210-1
Availability of data and material
All the data presented and/or analysed in this study are available upon request from the corresponding author.
Code availability
Not applicable.
Funding
Research in this paper was supported by the National Natural Science Foundation of China (Grant No. 51975249), Key Research and Development Plan of Jilin Province (Grant No. 20190302017GX), Changchun Science and Technology Planning Project (Grant No.19SS011) and Fundamental Research Funds for the Central Universities. Finally, the paper is supported by JLUSTIRT.
Author information
Authors and Affiliations
Contributions
Jun Ying: background research, methodology, data curation, software, validation, writing (original draft) and editing.
Zhaojun Yang: supervision, project administration and funding acquisition.
Chuanhai Chen: review and editing and supervision.
Guoxiang Yao: assist in experiment, data curation and software.
Wei Hu and Hailong Tian: modification suggestion.
Corresponding author
Ethics declarations
Ethics approval
Not applicable.
Consent to participate
Not applicable.
Consent for publication
Not applicable.
Conflict of interest
The authors declare no competing interests.
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
Ying, J., Yang, Z., Chen, C. et al. Lifetime analysis of motorized spindle bearings based on dynamic model. Int J Adv Manuf Technol 124, 3771–3781 (2023). https://doi.org/10.1007/s00170-021-07837-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-021-07837-2