محمدرضا گل بهار حقیقی

In this thesis, the estimation of material properties in functionally graded laminated cylindrical shells by employing internal pressure and measuring strain on their outer surface is studied. Cylindrical shells as single layer and multiple layer are considered. Material properties of this construct, have continuous changes in the thickness direction, which follows the rule of mixture. Governing equations of the theory of 3D elasticity is obtained and this equation is solved by using the differential quadrature. For solution inverse problems, the conjugate gradient method with adjoint equation that is highly efficient method has been used. The accuracy of the inverse analysis is examined by simulating the exact and noisy data for problems with different types of boundary conditions and material properties. To prove the effectiveness of the method used in relation to the rate and how to convergence answer was conducted study. To prove the accuracy of the results method used, results have been compared with results of scientific resources available that used 3D theory of elasticity. Then, as the study of the parameters, the unknown parameter changes on the displacement effects have been analyzed. Finally, the unknown parameters in a single layer and multiplelayer cylinder have been estimate. The results presented in this thesis, can be used as a scientific reference for estimation of unknown parameters whenever measuring them are either more complicated or need the expensive instruments. Also to be used as a reference for future studies on reverse algorithm.