Estimation of elastic coefficients for a two beam structure

Abstract

Consideration is given to the estimation of spatially dependent elastic parameters in a static distributed model of a simple structure composed of two beams at right angles. The potential energy functional of the system is formulated, and the existence of optimal estimators is proved for a regularized-output least-squares estimation problem. Regularity and approximation are discussed as well. The augmented Lagrange approach is used to incorporate the boundary conditions in a numerical algorithm.<>