Skip to main content
Log in

Spindle Housing Design Parameter Optimization Considering Thermo-Elastic Behaviour

  • Original Article
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

This paper presents a simulation method for predicting thermo-elastic behaviours of spindle-bearing system and an optimization procedure for housing design parameters in relation to various spindle-bearing operating and surrounding conditions such as assembling tolerance, geometric dimension, cooling condition and thermal deformation. The numerical formulation of transient thermo-elastic behaviours as a function of major spindle-bearing system design parameters is developed using the design of experiment methodology. The spindle-bearing analysis program has also been suggested in this paper. The suggested modelling and optimization method not only considers thermal deformation or heat transfer, but eventually it includes the nature of thermo-elastic interaction within spindle, bearing, housing and surrounding conditions in terms of formulating the objective function describing thermo-elastic characteristics such as friction moment, heat generation, contact mechanism, thermal displacement, assembly tolerance change, bearing internal clearance and spindle stiffness change and the dynamically changing operating conditions of the spindle. In order to substantiate the method, this paper shows a numerical example of formulation and optimization results for spindle housing design parameters with consideration of thermo-elastic behaviours as the thermal displacement, the preload increase, and the preload fluctuation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Burton RA, Staph HE (1967) Thermally activated seizure of Angular Contact Bearings, Trans ASLE 10:408–417

  2. Wang H, Conry TF, Cusano C (1996) Effects of Cone/Axle Rubbing Due to Roller Bearing Seizure on the Thermomechanical Behavior of a Railroad Axle, J Tribology Trans ASME 118(2):311–319

  3. Aramaki H, Shoda Y, Morishita Y, Sawamoto T (1998) Performance of Ball Bearings with Silicon Nitride Ceramic Balls in High Speed Spindles for Machine Tools, ASME J Tribology 113(4):693–698

  4. Choi, Jin Kyung, Lee Dai Gil (1997) Manufacture of a carbon fibre - epoxy composite spindle-bearing system for a machine tool, Composite Struct 37(2):241–251

  5. Pruvot FC (1980) High Speed Bearings for Machine Tool Spindles, Ann CIRP 29(1):293

  6. Slocum AH (1992) Precision machine design, Prentice-Hall, Englewood Cliffs, NJ, USA

  7. Tsutsu S, Aoyama T, Inasaki I (1998) Development of a Spindle System with an Adjustable Preload Mechanism Using a Piezoelectric Actuator, JSME Int J Series III 31(3):593–597

  8. Kenji Fujii, Shigeo Shimizu, Masatsugu Mori (2001) Preload Control Technology of Rolling Bearings for Machine Tool Spindles, J Jpn Soc Precision Eng 67(3):418–422

  9. Chen, Jenq-Shyong (1998) Active Bearing Preload Control of a High Speed Spindle using Piezoelectric Actuators, Proceedings of the 13th Annual Meeting ASPE, 13th Meeting ASPE, Louis, USA, pp. 325–328.

  10. Lee SK, Kyryu M, Shinno H, and Ito Y (1991) Thermal Behavior of Machine Tool Spindle System Based on the Thermal Closed-Loop Concept (Remedies for Thermal Deformation by Using the High-Speed Spindle Adapter), Trans JSME, 57(538):295–301

  11. Lee SK, Itoh S, Shinno H, and Ito Y (1990) Thermal Behavior of Main Spindle Driving System with Electromagnetic Disk Clutch of Dry Single Plate type in Machine Tool, Trans JSME 56(521):180–188

  12. Lee SK, Shinno H, Ito Y (1991) The Thermal behavior of Bearing Surroundings in Machine Tool Spindle System, Trans JSME 57(543):206–211

  13. Gibson AO, Stein JL (1999) Reduced Order Finite Element Modeling of Thermally Induced Bearing Loads in Machine Tool Spindles, Proceedings of the ASME Dynamic Systems and Control Division 1999, ASME Dynamic Systems and Control Division, Nashville, Tennessee, USA, pp.845–852.

  14. Tu JF, Stein JL (1996) Active Thermal Preload Regulation for Machine Tool Spindles with Rolling Element Bearings, J Manuf Sci Eng Trans ASME 118(4)

  15. Tu JF, Stein JL (1995) On-Line Preload Monitoring for Anti-Friction Spindle Beatings of High-Speed Machine Tools, J Dyn Syst Measure Control Trans ASME 117(1)

  16. Stein JL, Tu JF (1994) A State-Space Model for Monitoring Thermally-Induced Preload in Anti-Friction Spindle Bearings of High-Speed Machine Tools, J Dyn Syst Measure Control Trans ASME 28:372–386

  17. Tu JF, Stein JL (1996) Model Error Compensation for Bearing Temperature and Preload Estimation, J Dyn Syst Measure Control Trans ASME 118:580–585

  18. Stein JL (1993) Modeling and State Estimator Design Issues for Model-Based Monitoring Systems, J Dyn Syst Measure Control Trans of the ASME 115:318–327

  19. Huh KS, Stein JL (1994) A Quantitative Performance Index for Observer Based Monitoring System, J Dyn Syst Measure Control Trans ASME 116:487–497

  20. Bernd Bossmanns, Tu JF (1999) A thermal model for high speed motorized spindles, Int J Mach Tools Manuf 39:1345–1366

  21. Bernd Bossmanns, Tu JF (2001) A Power Flow Model for High Speed Motorized Spindles-Heat Generation Characterization, J Manuf Sci Eng Trans ASME 123(8):494–505

  22. Tu JF (1996) Strain Field Analysis and Sensor Design for Monitoring Machine Tool Spindle Bearing Force, Int J Mach Tools Manuf 36(2):203–216

  23. Shin YC (1992) Bearing Nonlinearity and Stability Analysis in High Speed Machining, J Eng Ind 114:23–30

  24. Jorgensen BR, Shin YC (1997) Dynamics of Machine Tool Spindle/Bearing Systems Under Thermal Growth, Trans ASME J Tribology 119:875–882

  25. Spiewak SA, Nickel T (2001) Vibration based preload estimation in machine tool spindles ,Int J Mach Tools Manuf 41(4):567–588

  26. Vachtsevanos G, Wang P (2001) Fault Prognosis Using Dynamic Wavelet Neural Networks, Proceedings of the IEEE Systems Readiness Technology Conference, IEEE Systems Readiness Technology Conference, Pennsylvania, USA, pp.857–870

  27. Chen P, Toyota T, Tanniguchi M, Feng F, Hiho T (1999) Failure Diagnosis Method for Machinery in Unsteady Operating Condition by Instantaneous Power Spectrum and Programming, Proceedings of the 4th International Conference on Knowledge-Based Intelligent Engineering Systems & Allied TEchnologies, Vol. 2, pp.640–643

  28. Kim SM, Lee SK (2001) Prediction of Thermo-Elastic Behavior in Spindle Bearing System Considering Bearing Surroundings, Int J Mach Tools Manuf 41:809–831

  29. Kim S-M and Lee S-K (2001) Effect of bearing support structure on the high-speed spindle bearing compliance, Int J Mach Tools Manuf 42(3):365–373

  30. Tsutsumi M, Ohya M, Aoyama T, Shimizu S, Hachiga S (1996) Deformation and Interface Pressure Distribution of 1/10 Tapered Joints at a High Rotation Speed, Int J JSPE 30(1):23–28

  31. Nishiwaki N (1988) Thermal Deformation Control and Evaluation Technology, Proc. 3rd IMEC, pp. 62.

  32. Chigira, Kakino Y (1989) A Study on Temperature Control of Machine Tool (The Fifth Report, Heat Flow Distribution in Headstock), J Jpn Soc Precision Eng 55(8):1397–1403

  33. Li Q, Steven GP, Querin OM, Xie YM (1999) Shape and Topology design for heat conduction by Evolutionary Structural Optimization, Int J Heat Mass Transf 42:3361–3371

  34. Haftka RT (1981) Techniques for thermal sensitivity analysis, Int J Numerical Methods Eng 17:71–80

  35. Kwak BM (1994) A review on shape optimal design and sensitivity analysis, Struct Eng/Earthquake Eng 10:159–174

  36. Bendsoe MP (1995) Optimization of Structural Topology, Shape, and Material, Springer, Berlin Heidelberg New York

  37. Xie YM, Steven GP (1997) Evolutionary Structural Optimization Springer, Berlin Heidelberg New York

  38. Rozvany GIN, Bendsoe MP, Kirsch U (1995) Layout optimization of structures, Appl Mech Rev 48(2):41–118

  39. Lee BY (1993) Shape sensitivity formulation for an axisymmetric thermal conducting solid, Proc Inst Mech Eng Part C: J Mech Eng Sci 207(C3):209–216

  40. Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization, Comput Struct 49:885–896

  41. Xie YM, Steven GP (1996) Evolutionary structural optimization for dynamic problems, Comput Struct 58(6):1067–1073

  42. Li Q, Steven GP, Querin OM, Xie YM (1997) Topology design of structures subjected to thermal load by evolutionary optimization procedure, Proceedings of 1997 ASME Design Engineering Technical Conferences, DETC97DAC3974, Sacramento, USA

  43. Taguchi G, Konishi S (1987) Orthogonal arrays and linear graphs, American Supplier Institute, Michigan, USA

  44. Fowlkes WY et al. (1995) Engineering Methods for Robust Product Design, Addision, Boston, MA, USA

  45. Lapin LL (1990) Probability and Statistics for Modern Engineering - 2nd edn, Duxburry, Belmont

  46. Phadke MS (1989) Quality Engineering Using Robust Design, Prentice Hall, NJ, USA

  47. Harris TA (1991) Rolling Bearing Analysis 3rd edn, Wiley, NY, USA

  48. Attia MH, Kops L (1979) Nonlinear Thermoelastic Behavior of Structural Joints-Solution to a Missing Link for Prediction of Thermal Deformation of Machine Tools, Trans ASME J Eng Ind 101:348–354

  49. Design Optimization Tools(DOT) User Manual, ver. 5.0, Colorado, Vanderplaats Research & Development Inc.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S.-M. Kim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, SM., Lee, SK. Spindle Housing Design Parameter Optimization Considering Thermo-Elastic Behaviour. Int J Adv Manuf Technol 25, 1061–1070 (2005). https://doi.org/10.1007/s00170-003-1958-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-003-1958-6

Keywords

Navigation