DESIGN OF OPTIMUM EXPERIMENTS FOR THE ESTIMATION OF THE THERMAL CONDUCTIVITY COMPONENTS OF ORTHOTROPIC SOLIDS
Müslüm Özişik, Helcio R. B. Orlande, M. M. Mejias · Hybrid Methods in Engineering · 1999
In this article we apply the D-optimum criterion to determine experimental variables, such as the number and locations of sensors, heating time, and duration of the experiment, for the estimation of the three thermal conductivity components of an orthotropic solid. The Levenberg-Marquardt method is applied for solving the present parameter estimation problem, by using simulated experimental data. Highly accurate estimates are obtained here with such a method for three different test cases. We also show that the accuracy of the estimated parameters deteriorates as experimental variables other than those chosen optimally are used in the analysis.