Solving an inverse heat conduction problem using a non-integer identified model

doi:10.1016/S0017-9310(00)00310-0

Return

Solving an inverse heat conduction problem using a non-integer identified model

2001-07-01

182

PRE

DOI：10.1016/S0017-9310(00)00310-0

Original

Original request for help

Save

Abstract

En 中文

An inverse heat conduction problem in a system is solved using a non-integer identified model as the direct model for the estimation procedure. This method is efficient when some governing parameters of the heat transfer equations, such as thermal conductivity or thermal resistance, are not known precisely. Reliability of the inversion depends on the precision of the identified model. From considerations on the analytical solutions in simple cases and on the definition of non-integer (or fractional) derivative, the non-integer model appears to be the most adapted. However, some experiments do need to be carried out on the physical thermal system before it can be identified. An application that consists in estimating the heat flux in a turning tool insert during machining is presented. First, identification is performed using a specific apparatus that permits a simultaneous measurement of temperature and hear flux in the insert. Then. during machining, heal flux can be estimated from temperature using this identified model. (C) 2001 Elsevier Science Ltd. All rights reserved.

Keywords:

inverse problem

system identification

fractional derivative

non-integer model

turning process

tool

heat flux

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.