Summary
The study concerns the control of the temperature distribution of a machine tool structure containing several varying heat sources and control sources. For this purpose, the state equations of the machine tool temperature are formulated by utilising the finite element method, and an optimal control sequence is obtained by the linear programming method as a time-optimal control problem. In the case of a very complicated structure of a machine tool, computing time to obtain the control sequence is considerably shortened by limiting reference points in the computation without affecting the accuracy. This method can be applied to a case for shortening the warming-up period of a machine tool as well as for varying heat sources. The validity of the control is experimentally confirmed.
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References
O. C. Zienkiewicz and Y. K. Cheung (1967). The Finite Element Method in Structural and Continuum Mechanics, McGraw-Hill
Y. Takahashi and Rabius and Auslander (1970). Control and Dynamic Systems, Addison-Wesley
G. Hadley (1962). Linear Programming, Addison-Wesley
Leon Lapidus and Rein Luus (1967). Optimal Control of Engineering Processes, 184, Blaisdell
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© 1976 Macmillan Publishers Limited
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Sata, T., Takeuchi, Y., Okubo, N. (1976). Control of the Thermal Deformation of a Machine Tool. In: Koenigsberger, F., Tobias, S.A. (eds) Proceedings of the Sixteenth International Machine Tool Design and Research Conference. Palgrave, London. https://doi.org/10.1007/978-1-349-81544-9_30
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DOI: https://doi.org/10.1007/978-1-349-81544-9_30
Publisher Name: Palgrave, London
Print ISBN: 978-1-349-81546-3
Online ISBN: 978-1-349-81544-9
eBook Packages: Palgrave Social & Cultural Studies CollectionSocial Sciences (R0)