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Correction of node mapping distortions using universal serendipity elements in dynamical problems
Kucukarslan, Semih,Demir, Ali Techno-Press 2011 Structural Engineering and Mechanics, An Int'l Jou Vol.40 No.2
In this paper, the use of universal serendipity elements (USE) to eliminate node mapping distortions for dynamic problem is presented. Rectangular shaped elements for USE are being introduced by using a flexible master element with an adjustable edge node location. The shape functions of the universal serendipity formulation are used to derive the mass and damping matrices for the dynamic analyses. These matrices eliminate the node mapping distortion errors that occurs incase of the standard shape function formulations. The verification of new formulation will be tested and the errors encountered in the standard formulation will be studied for a dynamically loaded deep cantilever.
Inelastic transient analysis of piles in nonhomogeneous soil
Kucukarslan, S.,Banerjee, P.K. Techno-Press 2007 Structural Engineering and Mechanics, An Int'l Jou Vol.26 No.5
In this paper, a hybrid boundary element technique is implemented to analyze nonlinear transient pile soil interaction in Gibson type nonhomeogenous soil. Inelastic modeling of soil media is presented by introducing a rational approximation to the continuum with nonlinear interface springs along the piles. Modified $\ddot{O}$zdemir's nonlinear model is implemented and systems of equations are coupled at interfaces for piles and pile groups. Linear beam column finite elements are used to model the piles and the resulting governing equations are solved using an implicit integration scheme. By enforcing displacement equilibrium conditions at each time step, a system of equations is generated which yields the solution. A numerical example is performed to investigate the effects of nonlinearity on the pile soil interaction.
Torsional rigidity of arbitrarily shaped composite sections by hybrid finite element approach
Kutlu Darllmaz,Engin Orakdogen,Konuralp Girgin,Semih Kucukarslan 국제구조공학회 2007 Steel and Composite Structures, An International J Vol.7 No.3
The purpose of this study is to calculate the torsional rigidity of arbitrarily shaped composite sections on the basis of hybrid finite element approach. An analogy is used between the torsion problem and deformation of a plate which exhibits only shear behavior. In the analysis a simple hybrid finite element based on Hellinger-Reissner functional is presented and a set of numerical examples are performed to demonstrate and asses the performance of the developed element in practical applications.