DEVELOPMENT OF HIGHER-ORDER STOCHASTIC SPECTRAL FINITE ELEMENT METHOD FOR UNCERTAINTY ANALYSIS OF 2D CONTINUA
作者： Khaji Naser , Zakian Pooya
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摘要: Original Research Paper Received 19 March 2016 Accepted 21 May Available Online 13 July Uncertainty inherently exists in quantity of a system’s parameters (e.g., loading or elastic modulus structure), and thus its effects have always been considered as an important issue for engineers. Meanwhile, numerical methods play significant role stochastic computational mechanics, particularly the problems without analytical solutions. In this article, spectral finite element method is utilized analysis 2D continua considering material uncertainties. Here, Lobatto family higher order elements extended, then influence mesh configuration interpolation functions are evaluated. Furthermore, Fredholm integral equation due to Karhunen Loeve expansion numerically solved through such that different meshes functions’ orders also chosen comparison assessment solutions equation. This needs fewer compared classic method, it specifically useful dynamic supplies desirable accuracy by having diagonal mass matrix. Also, these accelerate computation process along with polynomial chaos expansions involving solution research examines elastostatic elastodynamic benchmark demonstrate undertaken on analysis. Moreover, results higher-order speed, efficiency static continua.
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