OPTIMAL MEASUREMENT PLACEMENT FOR THE MATERIAL PARAMETER IDENTIFICATION OF ORTHOTROPIC COMPOSITE PLATE WITH A HOLE

Based on the static displacement measurement and the boundary element analysis, the material parameter identification problem is formulated as the problem of minimizing the objective function defined as the square sum of differences between the measured displacement and the calculated displacement by the boundary element method. The minimization problem is solved by using Levenberg-Marquardt algorithm. From the analysis of the well-posedness of this algorithm, a method is proposed for the optimal measurement placement, which is determined by the synthetic influence of many factors. Numerical example is given to illustrate the validity of the proposed method. The numerical example also shows that the measurement placement has a significant influence on the results in the material parameter identification for the orthotropic composite plate with a hole. The satisfactory identified results can be obtained by using the optimal measurement placement determined by the proposed method.