Estimation of heat flux and temperature in a tool during turning

The heat flux and the temperature at the tip of a tool used in a turning process are estimated from temperature measurements in an interior point of the tool insert. Instead of using a classical direct model of the transient thermal behaviour of the tool, two models that express the heat flux and the temperature at the tip of the insert according to the interior temperature are identified. These models are expressed in a recursive transfer function form. The identification of the parameters in the two models has been performed for a specific apparatus that permits controlling the heat flux and the temperature at the tip of the insert. In a second stage, the inverse heat conduction problem in the tool is solved both using an exact matching method, a sequential function specification method and a sequential regularization method in order to identify the heat flux and the temperature during a turning process.