Dynamic Analysis

777 Words2 Pages

One of the most important topics in designing procedure of FG structures is dynamic analysis and tracking of elastic waves. In the recent years, some researches have been carried out in wave propagation and dynamic analysis fields for structures made of FGMs. The stress wave propagation [1], analysis of one dimensional wave propagation [2], designing of FGMs based on management of stress waves [3] and dynamic analysis of FG structures under impulsive loading [4] can be listed as some of previous works. The dispersion behavior of waves in a functionally graded elastic plate was studied using laminate plate theory by Chen et al. [5]. Also, Hosseini et al. [6] studied dynamic response and radial wave propagation velocity in thick hollow cylinder made of FGMs. They are solved the Navier equation using a hybrid numerical method based on composition of Galerkin finite element and Newmark finite difference methods. They obtained scattering relations by considering the continuity conditions at the interfaces between any two layers and the boundary conditions at the inner and outer surfaces of FG cylinder. The vibration and dynamic buckling control of imperfect hybrid FGM plates was studied by Shariyat [7]. He investigated vibration and dynamic buckling of FGM rectangular plates with surface-bonded or embedded piezoelectric sensors and actuators subjected to thermo-electro-mechanical loadings. The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure were studied in details by Sofiyev [8].
Also, there are some analytical methods to simulate the elastic wave propagation in FG structures that one of them was presented by Hosseini and Abolbashari [9]. In their paper, an analytical method propos...

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... patterns of microstructures and also mechanical properties can be designed with two direction variations. This kind of FGMs is called
This paper deals with the dynamic analysis of functionally graded thick cylindrical panels with mechanical properties of 2D-FG panel are simulated by using a nonlinear power function with two dimensional volume fractions. The elastic wave fronts are tracked in two dimensional (r-θ) domains for various kinds of grading patterns. Also, the time history of displacement and propagation of displacement waves are discussed in details for various values of exponents in
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47 two dimensional volume fractions. It can be concluded from presented data and results that 48
MLPG method is a very effective method with high accuracy for two dimensional wave propagation analyses in FGMs with one or two dimensional grading patterns.

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