Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
The Derivation of a Variational Principle Minimizing Experimental Measurement Errors and the Formulation of an Intelligent Hybrid Measurement Method for Non-steady-state Temperature Fields(Application)
Toshihisa NishiokaMasahiko WakabayashiTakehiro Fujimoto
Author information
JOURNAL FREE ACCESS

2009 Volume 19 Issue 2 Pages 169-181

Details
Abstract
A variational principle that minimizes the errors and noises associated with experimental measurements of two-dimensional non-steady-state temperature fields is investigated. The variational principle also assures the satisfaction of the governing time-developing heat conduction equation. On the basis of the variational principle, an intelligent hybrid experimental-numerical method is formulated and a scheme of calculation is presented. Furthermore, a numerical simulation is illustrated. The present paper is the extension of studies in steady-state temperature fields and is the development of researches in elastic deformation fields, elastic-plastic deformation fields, and the near-field of an interface crack tip.
Content from these authors
© 2009 The Japan Society for Industrial and Applied Mathematics
Previous article Next article
feedback
Top