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Study on the three-dimensional temperature field in slender and long shaft grinding process

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Abstract This paper deals with constructing the mathematical model of the slender and long shaft temperature field in the grinding process. The proposed model is given in terms of a… Click to show full abstract

Abstract This paper deals with constructing the mathematical model of the slender and long shaft temperature field in the grinding process. The proposed model is given in terms of a three-dimensional boundary-value problem. The analytic solution is solved by using the Laplace transform, the Fourier transform, the Green’s function method and the Fubini theorem. Finally the model is proposed to be a tool for the control algorithm in slender and long shaft processing.

Keywords: three dimensional; grinding process; long shaft; slender long; temperature field

Journal Title: Journal of Interdisciplinary Mathematics
Year Published: 2018

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