Determination of Vertical Impedance of embedded Pile in Transversely Isotropic Media Using Hybrid Element

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Abstract

The purpose of this study is to determine the dynamic response rod embedded piles in transversely isotropic media under vertical excitation. To do this, hybrid element method has been used in which embedded structure, pile, has been simulated by using rod finite element and also radiation elements have been used for simulating infinite media around the pile. To determine soil-pile stiffness matrix we assemble dynamic stiffness matrix of the finite elements derived from continuous solution with the soil stiffness matrix determined by the inversion of compliance matrix taken from radiation element solution. Finally this matrix is condensed in term of defined degrees of freedom on top of the pile so that the pile impedance in its junction with superstructure in the form of complex number. By using parametric study on the number of elements, dimensionless frequency and aspect ratio, the convergence of impedance is evaluated and its accuracy is controlled by the previous studies of Novak and Liu.

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