چکیده مقاله
In this paper, a new semi analytical method is proposed for solving boundary value problems of 3D potential problems In this method, the boundary of the problem domain is discretized by a set of special non isoparametric elements In these new elements, higher order Chebyshev mapping functions and new special shape functions are used The shape functions are formulated to provide Kronecker Delta property for the potential function and its derivative Moreover, the first derivative of shape functions are assigned to zero at any given control point Finally, using weighted residual method and implementing Clenshaw– Curtis quadrature, the coefficient matrices of equations system become diagonal, which results in a set of decoupled governing equations for the whole system This means that the governing equation for each degree of freedom DOF is independent from other DOFs of the domain Validity and accuracy of the present method are fully demonstrated through some benchmark problems
کلیدواژهها
نویسندگان
Mohammad Iman Khodakarami
Ph D Student of Earthquake Engineering, Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran
Naser Khaji
Associate Professor of Earthquake Engineering, Faculty of Civil and Environmental Engineering,Tarbiat Modares University, Tehran, Iran
شیوه ارجاع
Khodakarami, Mohammad Iman and Khaji, Naser,1391,A novel three-dimensional semi-analytical method with diagonal coefficient matrices for potential problems,9th International Congress on Civil Engineering,Isfahan
ارائهشده در
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