INVESTIGATION OF FLEXURAL – TORSION INSTABILITY OF PILES BY MODIFIED NEWMARK METHOD

INVESTIGATION OF FLEXURAL – TORSION INSTABILITY OF PILES BY MODIFIED NEWMARK METHOD

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Part of #INVESTIGATION OF FLEXURAL – TORSION INSTABILITY OF PILES BY MODIFIED NEWMARK METHOD# :

Publishing year : 2012

Conference : The 10th International Conference on Coastal, Ports and Marine Structures

Number of pages : 13

Abstract: The purpose of this dissertation is to introduce a new approximate procedure based on the Newmark method, which can handle the structural stability problem without the above-mentioned shortcomings. The emphasis of the methodology is that it has enough power to generalize different types of stability problems and is well suited for using computers. The major objectives of this thesis are categorized in two parts. The first part, which constitutes the main hypothesis and idea, is devoted to developing a procedure here called the Modified Newmark Method. The response of these kind of structures under the load, namely, the relationship between the displacement field and loading field, can be predicted by these differential equations and satisfying given boundary conditions. When the effect of change of geometry under loading is taken into account in modeling of equilibrium state, then these differential equations are partially integrable in quartered. They also exhibit instabilitycharacteristics when the structures are loaded compressively. The purpose of this paper is to represent the ability of the Modified Newmark Method to analyze the flexure-tensional strut stress for both bifurcation and non-bifurcation structural systems, and the results are shown to be very accurate with only a small number of iterations. The method is easily programmed, and has the advantages of simplicity and speeds of convergence and is easily extended to treat material and geometric nonlinearity, including no prismatic members and linear and nonlinear spring restraints that would be encountered in frames. In this paper, these abilities of the method will be extended to a system of linear differential equations that control strut flexural torsional stability