S. Küçükarslan

Solution of different type of the partial differential equation by differential transform method and adomian's decomposition method

Abstract In this paper, the definitions and operations of the differential transform method [J.K. Zhou, Differential Transformation and Its Applications for Electrical Circuits, Huarjung University Press, Wuuhahn, China, 1986] and Adomian’s decomposition method which is given by George Adomian for approximate solution of linear and non-linear differential equations are expressed [G. Adomian, Convergent series solution of nonlinear equation, Comput. Appl. Math. 11 (1984) 113–117] . Different partial differential equations are solved under the view of these methods and compared with the approximate solution and analytic solution. At the end, these solutions are illustrated by tables and figures.

An exact truncation boundary condition for incompressible-unbounded infinite fluid domains

In this paper, dam-reservoir interaction for a vibrating structure in an unbounded and incompressible and inviscid fluid is analyzed by using finite element approach. An exact boundary condition is developed for truncating surface of unbounded fluid domain. In the derivation of boundary condition, it is assumed that vibration of dam is in the normal direction of dam-reservoir interface and this interface is vertical. Moreover, bottom of fluid is rigid and horizontal. The derived boundary condition is implemented in the finite element code and results are compared with by using Sommerfelds and Sharans boundary conditions. It is seen that the proposed boundary condition is efficient and gives better results than the previous published results.

Behavior of axially loaded pile group under lateral cyclic loading

Abstract In this paper, a hybrid boundary element technique is implemented to analyze behavior of axially loaded pile group under lateral cycling loading. Nonlinear material behavior of soil is introduced by a rational approximation to continuum with nonlinear interface springs along the piles. Linear beam column finite elements are used to model the piles. By enforcing displacement and equilibrium conditions at each increment, a system of equations is generated which yields the solution. A numerical study to verify the proposed model is performed. To investigate the cyclic behavior three groups are loaded (1×2, 2×3, and 3×3 groups) initially half of the ultimate axial load, then a lateral loading is applied for cyclic behavior of piles, is done to investigate the behavior of pile groups.

Time domain dynamic analysis of piles under impact loading

In this paper, time domain dynamic analysis of piles under impact loading is presented. For this purpose a hybrid boundary element technique is implemented. Linear beam column finite elements are used to model the piles and resulting governing equations are solved using an implicit integration scheme. The continuum is assumed to be elastic and an efficient step-by-step time integration scheme is implemented by using an approximate half space integral formulation. By enforcing displacement equilibrium conditions at each time step, a system of equations is generated which yields the solution. Results of this time domain formulation under linear material behavior are compared with Laplace domain results to validate the methods.

Inelastic analysis of pile soil structure interaction

Abstract In this paper, inelastic pile soil structure interaction is analyzed by using a hybrid type of numerical method. Piles and structural elements are modeled as linear finite elements and soil half space is modeled by using boundary elements. Inelastic modeling of soil media is presented by introducing a rational approximation to continuum with nonlinear interface springs along the piles. For this purpose, modified Ozdemir’s nonlinear model is implemented and systems of equations are coupled for piles and pile groups at interacting nodes. To verify the proposed algorithm, four experimental results from previously conducted tests under static loads are compared with those obtained from present analysis.

INELASTIC DYNAMIC ANALYSIS OF PILE-SOIL-STRUCTURE INTERACTION

In this paper, inelastic pile-soil-structure interaction for dynamic analysis is formulated by coupling finite element and boundary element methods. Linear beam-column finite elements are used to model the piles and structural elements. The continuum is assumed to be elastic and an efficient step by step time integration scheme is implemented by using half space integral formulation. Inelastic modeling of soil media is done by a rational approximation to continuum with nonlinear interface springs along the piles. Modified Ozdemirs inelastic model is implemented and systems of equations are coupled for piles and pile groups. By using this mixed type of formulation, it is possible to get computationally most efficient and accurate results. In order to verify the proposed formulation, the result of a reported full-scale statnamic load tests are compared.

Transient dynamic analysis of dam‐reservoir interaction by coupling DRBEM and FEM

In this paper, time domain dynamic analysis of dam‐reservoir interaction is presented by coupling the dual reciprocity boundary element method in the infinite fluid domain and the finite element method in the solid domain. An efficient coupling procedure is formulated by using sub‐structuring method. Sommerfelds boundary condition for far end of the infinite domain is implemented. To verify the proposed scheme, numerical examples are carried out to compare with the available exact solutions and results of the finite‐finite element coupling.