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Mathematical modelling and analytical solution for workpiece temperature in grinding |
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| Authors: | DL Skuratov YuL Ratis IA Selezneva J Pérez P Fernández de Córdoba JF Urchueguía |
| Institution: | 1. Samara State Aerospace University, Russia;2. Dpto. de Matemática Aplicada, Universidad Politécnica de Valencia, Spain;3. Dpto. de Física Aplicada, Universidad Politécnica de Valencia, Spain |
| Abstract: | This paper deals with modelling the workpiece temperature field produced during the grinding process. The proposed model is given in terms of a two-dimensional boundary-value problem where the interdependence among the grinding wheel, the workpiece and the coolant is described by two variable functions in the boundary condition. An explicit integral form solution is constructed using the Laplace and Fourier transforms and the Green’s function method. |
| Keywords: | Grinding Modelling Variable coefficient boundary-value PDE problem Exact solution Integral transforms Green&rsquo s function method |
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