İnce elastik bir plaka için kompozit asimptotik modeller

This thesis on the dynamic bending and plate extension problems of a thin elastic plate under a given external load. The motivation in the choice of the subject has been the modern industrial applications and particularly the desire to contribute to the approximate analytical solutions, which is believed to be lacking. The exact mathematical formulation as well as the solutions to these models for the problems mentioned above may be costly. Therefore a composite asymptotic approach used for the problems in the thesis. On using this method, we considered the dynamic response of the thin elastic plate, more specifically, the asymptotic of the first antisymmetric bending mode of the plate. The results/solutions, contrary to the ones existing in literature, in terms of elementary functions and therefore considerably simplified the physical and mathematical analysis of the problem. Keywords: thin elastic plate, Rayleigh-Lamb equation, dynamic bending, plate extension, antisymmetric modes, symmetric modes, asymptotic model