Calculation of an integral arising in dry flat grinding for a general heat flux profile. Application to maximum temperature evaluation

Journal of Engineering Mathematics, March 2014.

J.L. González-Santander

Departamento de Ciencias Experimentales y Matemáticas, Universidad Católica de Valencia, 46001 , Valencia, Spain.

 

Abstract

 

We study the surface temperature expression in flat dry grinding for a general heat flux profile entering into a workpiece within the friction strip due to contact between wheel and workpiece. This expression involves a non-tabulated integral that we proceed to calculate. Since the maximum temperature is reached at the workpiece surface in the stationary regime, the advantage of this calculation is that the maximum temperature can be computed very rapidly, so it can be applied in on-line monitoring of the grinding process in order to avoid thermal damage.

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Additional Information: 

This paper is focused onto the calculation of the following function, defined as

 

eq

 

where  K0 (x) denotes the MacDonald’s function of zeroth order. This integral appears when you want to calculate the surface temperature of a workpiece in flat dry grinding, considering an arbitrary heat flux profile entering into it.

 

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