Impact of instantaneous curvature on force and heat generation in manufacturing processes – a mathematical modelling

Abstract

Purpose

In any machining process, the surface profile of the workpiece is continuously changing with respect to time and input parameters. In a conventional machining process, input parameters are feed and depth of cut whilst other parameters are considered to be constant throughout the process.

Design/methodology/approach

The direct and indirect participation of this instantaneous curvature can be used to optimize the strategy of cutting operation in terms of different parameters like heat generation-induced stresses, etc. The concepts of the metric tensor and Riemannian curvature tensor are made use in this study as a representation of curvature itself. The objective of this study is to create a mathematical methodology that can be implemented on a highly flexible machining process to find an optimum cutting strategy for a particular output parameter.

Findings

The study also includes different case studies for the validation of this newly introduced mathematical methodology.

Originality/value

The study will also find its position in other mechanical processes like forging and casting where instantaneous curvature affects various mechanical properties.

Citation

C., S., R., G., J., V. and G., R. (2020), "Impact of instantaneous curvature on force and heat generation in manufacturing processes – a mathematical modelling", Engineering Computations, Vol. 37 No. 7, pp. 2251-2273. https://doi.org/10.1108/EC-06-2019-0289