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Real Time Estimation of Temperature Distribution of a Ball Screw System Using Modal Analysis and Observer
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 Title & Authors
Real Time Estimation of Temperature Distribution of a Ball Screw System Using Modal Analysis and Observer
An, Jung-Yong; Kim, Tae-Hun; Jeong, Seong-Jong;
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 Abstract
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.
 Keywords
Ball Screw;Modal Analysis;Observer;State Space Equation;Temperature Field;Thermal Deformation;
 Language
Korean
 Cited by
1.
드릴링 공정의 열거동 해석과 관측기를 이용한 온도 추정법,김태훈;정성종;

대한기계학회논문집A, 2003. vol.27. 9, pp.1499-1507 crossref(new window)
 References
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 crossref(new window)

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 crossref(new window)

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)