Two Dimensional Elastic Wave Propagation Analysis in Functionally Graded Materials using Finite Element Method in both Time and Frequency Domain

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Taheri, Ali | 2008

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 39300 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Naghdabadi, Reza; Sohrabpour, Saeed
Abstract:
In this thesis the tow-dimensional wave propagation in a functionally graded elastic medium is considered. It is assumed that the stiffness and density of the medium vary continuously in one direction. This work presents analysis in both time and frequency domain. In time domain, a graded element is presented for static and dynamic analyses in FGMs. This element clearly simulates wave propagation in inhomogeneous materials. The most important property which an element must have to be reasonable in wave propagation analyses in FGMs is simulating reflection only from boundaries. In frequency domain a dynamic stiffness matrix is generated using stiffness and mass matrix used in time domain analyses. The main difficulty in this method is reconstructing displacement signals from frequency domain into time domain. Both method present reasonable results but second method is more time consuming and although more exact
Keywords:
Finite Element Method ; Wave Propagation ; Functionally Graded Materials (FGM) ; Frequency Domain Analysis ; Time-Frequency Analysis

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