대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제25권1호
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  • Pages.145-152
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  • 2001
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  • 1226-4873(pISSN)
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  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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모드해석과 관측기에 의한 볼스크류 온도분포의 실시간 예측

Real Time Estimation of Temperature Distribution of a Ball Screw System Using Modal Analysis and Observer

  • 발행 : 2001.01.01
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초록

Thermal deformation of a machine tool structure can be evaluated from the analysis of the whole temperature field. However, it is extremely inefficient and impossible to know the whole temperature field by measuring temperatures at every point. So, the temperature estimator is required, which can predict the whole temperature field from the temperatures of just a few points. In this paper, a 1-dimensional heat transfer problem is modeled with modal analysis and state space equations. And then the state observer is designed to estimate the intensity of heat source and the whole temperature field in real time. The reliability of the estimator is verified by making comparison between solutions obtained from the proposed method and the exact solutions of examples. The proposed method is applied to the estimation of temperature distribution in a ball screw system.

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참고문헌

  1. Bryan, J., 1990, 'International Status of Thermal Error Research,' Annals of the CIRP, Vol. 39, No. 2, pp. 645-656
  2. Chen, J. S., Yuan., J. X., Ni, J., and Wu, S. M., 1993, 'Real-time Compensation for Time-Variant Volumetric Errors on a Machining Center,' ASME Journal of Engineering for Industry, Vol. 115, No. 12, pp. 472-479
  3. Chen, J. S. and Ling, C. C., 1996, 'Improving the Machine Accuracy Through Machine Tool Metrology and Error Correction,' The International Journal of Advanced Manufacturing Technology, Vol. 11, pp. 198-205 https://doi.org/10.1007/BF01351325
  4. Chung, S. C. and Park, J. K., 1992, 'Thermal Expansion Analysis of the Ball Screw System by Finite Difference Methods,' KSPE, Vol. 9, No.4, pp. 44~57 (in Korean)
  5. Fraser, S., Attia, M. H., and Osman, M. O. M., 1998, 'Modeling, Identification and Control of Thermal Deformation of Machine Tool Structures, Part 1 :Concept of Generalized Modeling,' Journal of Manufacturing Science and Engineering, Vol. 120, pp. 623-631
  6. Hori, S., Nishiwaki, N., and Ishitomi, K., 1997, 'Study on Estimating Thermal Deformation of Machining System,' JSME(C), Vol. 63, No. 608, pp. 1391-1396 (in Japanese)
  7. Tandy, D. F., Trujillo, D. M., and Busby, H. R., 1986, 'Solution of Inverse Heat Conduction Problems using an Eigenvalue Reduction Technique,' Numerical Heat Transfer, Vol. 10, pp. 597-617 https://doi.org/10.1080/10407788608913538
  8. Friedland, B., 1987, Control System Design (An Introduction to State-Space Methods), 2nd Ed. McGraw-Hill, John Wiley & Sons, Inc, pp. 259-267
  9. Otsuka, J., Fukada, S., and Obuchi, N., 1984, 'A Study of Thermal Expansion of Ball Screw -In case of Constant Preload-,' Precision Machine, Vol. 50, No.4, pp. 646-651(in Japanese)
  10. Kakino, Y. and Mori, K., 1988, 'A Study of Compensation of Thermal Displacement of the Ball Screw in NC Machine Tools,' JSPE, Vol. 54, No.9, pp.1753-1758(in Japanese)