EVALUATION OF THE ELASTIC PROPERTY BASED ON BOUNDARY MEASUREMENT

This paper is concerned with the evaluation of the elastic constant of a rod based on the measurement obtained at the boundary. We consider the problem of recovering the elastic rigidity of a rod that is a func tion of space. The approach is based on allowing the unknown function to depend on time. With appropriate measurement data the unknown syste m parameters are guided from an arbitrary initial condition to their t rue value at a final time. An explicit equation describing the time ev olution of the parameter is obtained by minimizing the error along the trajectory. The method leads to an iterative algorithm which is descr ibed in detail. Numerical results with the method indicate that accura te estimates of the unknown function can be obtained.