A three-dimensional inverse problem of estimating the surface thermal behavior of the working roll in rolling process

Journal of Manufacturing Science and Engineering, Transactions of the ASME

Volumn 122, Issue 1, 2000, Pages 76-82

  Hsu, Pao Tung ^a   Yang, Yue Tzu ^b   Chen, Cha’o Kuang ^b  

^a NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^b NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13544265950     PISSN: 10871357     EISSN: 15288935     Source Type: Journal    
DOI: 10.1115/1.538889     Document Type: Article

References (35)

1. Cerni, S., 1961, The Temperature and Thermal Stress in Rolling of Metal Strip, Ph.D. thesis, Carnegie-Mellon Univ., Pittsburgh, PA.
2. Hogshead, T. H., 1967, Temperature Distributions in Rolling of Metal Strip, Ph.D. thesis, Carnegie-Mellon Univ., Pittsburgh, PA.
3. Haubitzer, W., 1974, “Steady-State Temperature Distributions in Rolls,” Arch. Eisenhuettenwes., 46, pp. 635-638.
4. Patula, E. H., 1981, “Steady-State Temperature Distributions in Rotating Roll Subject to Surface Heat Fluxes and Convection Cooling,” ASME J. Heat Transfer, 103, pp. 36-41.
5. Park, D. M., and Baker, L. L., 1972, “Temperature Effects of Cooling Work Rolls,” Iron Steel Eng., 49, pp. 83-88.
6. Poplawski, J. V., and Seccombe, D. A., Jr., 1980, “Bethlehem’s Contribution to the Mathematical Modeling of Cool Roll in Tandem Mills,” Iron Steel Eng., 57, pp. 47-58.
7. Smith, R. M., and Hutton, A. G., 1982, “The Numerical Treatment of Advection: A Performance Comparison of Current Methods,” Numer. Heat Transfer, 5, pp. 439-461.
8. Tseng, A. A., 1984, “Finite-Difference Solutions for Heat Transfer in a Roll Rotating at High Speed,” Numer. Heat Transfer, 7, pp. 123-125.
9. Bryant, G. F., and Chiu, T. S. L., 1892, “Simplified Roll-Temperature Model: Spray-Cooling and Stress Effects,” Metals Technol., 9, pp. 478-484.
10. Bryant, G. F., and Heselton, M. O., 1982, “Roll-Gap Temperature Models for Hot Mills,” Metals Technol., 9, pp. 469-477.
11. Heinrich, J. C., et al., 1977, “An Upwind Finite Element Scheme for Two-Dimensional Convection Transport Equation,” Int. J. Numer. Methods Eng., 11, pp. 131-143.
12. Kariagozis, A. N., and Lenard, J. G., 1988, “Temperature Distribution in a Slab During Hot Rolling,” ASME J. Eng. Mater. Technol., 110, pp. 17-21.
13. Lahoti, G. D., Shah, S. N., and Altan, T., 1978, “Computer-Aided Analysis of the Deformations and Temperatures in Strip Rolling,” ASME J. Eng. Indus. 100, pp. 159-166.
14. Pietrzyk, M., and Lenard, J. G., 1988, “Experimental Substantiation of Modeling Heat Transfer in Hot Flat Rolling,” in Proc. 25th, Natl. Heat Transfer Conf., 3, HTD-Vol. 96, H. R. Jacobs, ed., Houston, pp. 47-53.
15. Pietrzyk, M., Lenard, J. G., and Souse, C. M., 1988, “A Study of Temperature Distribution in Strips During Cold Rolling,” 6th Natl. Congress on Heat Transfer, Bari, pp. 481-494.
16. Sheppard, T., and Wright, D. S., 1980, “Structural and Temperature Variations During Rolling of Aluminum Slabs,” Metals Technol., 7, pp. 274-281.
17. Silvonen, A., Malinen, A., and Korhonen, A. S., 1987, “A Finite Element Study of Plane Strain Hot Rolling,” Scand. J. Metall., 16, pp. 103-108.
18. Thompson, E. G., and Berman, H. M., 1984, “Steady-State Analysis of Elasto-Viscoplastic Flow During Rolling,” Numerical Analysis of Forming Processes, Wiley, New York, pp. 269-283.
19. Wilmotte, S., et al., 1983, “Model of the Evolution of the Temperature of the Strip in Hot Strip Mill,” CRM, 36, pp. 35-44.
20. Zienkiewicz, O. C., Onate, E., and Heinrich, J. C., 1981, “General Formulation for Coupled Thermal Flow of Metals Using Finite Elements,” Int. J. Numer. Methods Eng., 17, pp. 1497-1514.
21. Tseng, A. A., Lin, F. H., Gunderia, A. S., and Ni, D. S., 1989, “Roll Cooling and Its Relationship to Roll Life,” Metall. Trans. A, 20, pp. 2305-2320.
22. Huang, C. H., Ju, T. M., and Tseng, A. A., 1995, “The Estimation of Surface Thermal Behavior of the Working Roll in Hot Rolling Process,” Int. J. Heat Mass Transf., 38, No. 6, pp. 1019-1031.
23. Alifanov, O. M., 1974, “Solution of an Inverse Problem of Heat Conduction by Iteration Methods,” J. Eng. Phys., 26, No. 4, pp. 471-476.
24. Beck, J. V., Litkouhi, B., and St. Clair, C. R., 1982, “Efficient Sequential Solution of Nonlinear Inverse Heat Conduction Problem,” Numerical Heat Transfer, 5, pp. 275-286.
25. Zienkiewicz, O. C., 1971, The Finite Element Method in Engineering Science, McGraw-Hill, London.
26. Tohio, Y., and Kazushige, I., 1985, “Inverse Heat-Conduction Problem by Finite-Element Formulation,” Int. J. Syst. Sci., 16, pp. 1365-1376.
27. Zabaras, N., and Liu, J. C., 1988, “An Analysis of Two-Dimensional Linear Inverse Heat Transfer Problem Using an Integral Method,” Numer. Heat Transf., 13, pp. 527-533.
28. Bass, B. R., 1980, “Application of the Finite Element Method to the Nonlinear Inverse Heat Conduction Problem Using Beck’s Second Method,” ASME J. Eng. Indus., 102, pp. 168-176.
29. Hsu, T. R., Sun, N. S., Chen, G. G., and Gong, Z. L., 1992, “Finite Element Formulation for Two-Dimensional Inverse Heat Conduction Analysis,” ASME J. Heat Transfer, 114, pp. 553-557.
30. Zheng, H., and Murio, D. A., 1996, “3D-IHCP on a Finite Cube,” Comput. Math. Applic., 31, No. 1, pp. 1-14.
31. Yang, C. Y., and Chen, C. K., 1996, “The Boundary Estimation in Two-Dimensional Inverse Heat Conduction Problems,” J. Phys. D: Appl. Phys., 29, pp. 333-339.
32. Yang, Y. T., Hsu, P. T., and Chen, C. K., 1997, “A 3D Inverse Conduction Problem Approach for Estimating Heat Flux and Surface Temperature on a Hollow Cylinder,” J. Phys. D: Appl. Phys., 30, pp. 1326-1333.
33. Beck, J. V., Blackwell, B., and Clair, C. R. St., 1985, Inverse Heat Conduction-III Posed Problem, Wiley, New York.
34. Hensel, E., 1991, Inverse Theory and Applications for Engineers, Prentice-Hall, Englewood Cliffs, NJ.
35. Tseng, A. A., Chang, J. G., Raudensky, M., and Horsky, J., 1995, “An Inverse Finite Evaluation of Roll Cooling in Hot Rolling of Steels,” J. Mat. Process. Manuf. Sci., 3, No. 4, pp. 387-408.