• Structural Engineering and Mechanics
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• 제19권2호
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• pp.153-172
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• 2005

A new load/displacement parameter method is proposed for the simultaneous control of applied loads and structural displacements at one or more points. The procedure is based on a generalized Riks' method, which utilizes load/displacement parameters as scaling factors to analyze post-buckling phenomena including snap-through or snap-back. The convergence characteristics are improved by employing new relaxation factors through an incremental displacement parameter, particularly in a region that exhibits severe numerical instability. The improved performance is illustrated by means of a numerical example.

• Structural Engineering and Mechanics
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• 제15권2호
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• pp.225-238
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• 2003

In the present study, the finite strip analysis of a box girder to simulate a ship's hull model is carried out to investigate its inelastic post-buckling behavior and to predict its ultimate flexural strength. Residual stresses and initial geometrical imperfections are both considered in the combined material and geometrical nonlinear analysis. The von-Mises yield criterion and the Prandtl-Reuss flow theory of plasticity are applied in modeling the elasto-plastic behavior of material. The Newton-Raphson iterative process is also employed in the analysis to achieve convergence. The numerical results agree well with the experimental data. The effects of some material and geometrical parameters on the ultimate strength of the structure are also investigated.

• Steel and Composite Structures
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• 제11권3호
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• pp.183-205
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• 2011

This paper presents the results of an investigation into the post-buckling behaviour and ultimate strength of imperfect corroded steel plates used in ship and other marine-related structures. A series of elastic-plastic large deflection finite element analyses is performed on randomly corroded steel plates. The effects of general corrosion on both sides of the plates are introduced into the finite element models using a random thickness surface model. The effects on plate compressive strength as a result of parametric variation of the corroded surface geometry are evaluated. A proposal on the effective thickness is concluded in order to estimate the ultimate strength and explore the post-buckling behaviour of randomly corroded steel plates under uniaxial compression.

• Advances in nano research
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• 제13권5호
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• pp.427-435
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• 2022

Static stability behaviors of annular sandwich plates constructed from two layers of particle-reinforced nanocomposites have been investigated in the present article. The type of nanoscale particles has been considered to be graphene oxide powders (GOPs). The particles are assumed to have uniform and graded dispersions inside the matrix and the material properties have been defined according to Halpin-Tsai micromechanical model. The core layer is assumed to have honeycomb configuration. Annular plate has been formulated according to thin shell assumptions considering geometrical nonlinearities. After solving the governing equations via Galerkin's technique, it is showed that the post-buckling curves of annular sandwich plates rely on the core wall thickness, amount of GOP particles, sector radius, and thickness of layers.

• Smart Structures and Systems
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• 제26권2호
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• pp.213-226
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• 2020

In this manuscript, static and dynamic behaviors of geometrically imperfect carbon nanotubes (CNTs) subject to different types of end conditions are investigated. The Doublet Mechanics (DM) theory, which is length scale dependent theory, is used in the analysis. The Euler-Bernoulli kinematic and nonlinear mid-plane stretching effect are considered through analysis. The governing equation of imperfect CNTs is a sixth order nonlinear integro-partial-differential equation. The buckling problem is discretized via the differential-integral-quadrature method (DIQM) and then it is solved using Newton's method. The equation of linear vibration problem is discretized using DIQM and then solved as a linear eigenvalue problem to get natural frequencies and corresponding mode shapes. The DIQM results are compared with analytical ones available in the literature and excellent agreement is obtained. The numerical results are depicted to illustrate the influence of length scale parameter, imperfection amplitude and shear foundation constant on critical buckling load, post-buckling configuration and linear vibration behavior. The current model is effective in designing of NEMS, nano-sensor and nano-actuator manufactured by CNTs.

• Ocean Systems Engineering
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• 제6권1호
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• pp.99-115
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• 2016

In meeting the technical needs for deepwater conditions and overcoming the shortfalls of single-layer pipes for deepwater applications, pipe-in-pipe (PIP) systems have been developed. While, for PIP pipelines directly laid on the seabed or with partial embedment, one of the primary service risks is lateral buckling. The critical axial force is a key factor governing the global lateral buckling response that has been paid much more attention. It is influenced by global imperfections, submerged weight, stiffness, pipe-soil interaction characteristics, et al. In this study, Finite Element Models for imperfect PIP systems are established on the basis of 3D beam element and tube-to-tube element in Abaqus. A parameter study was conducted to investigate the effects of these parameters on the critical axial force and post-buckling forms. These parameters include structural parameters such as imperfections, clearance, and bulkhead spacing, pipe/soil interaction parameter, for instance, axial and lateral friction properties between pipeline and seabed, and load parameter submerged weight. Python as a programming language is been used to realize parametric modeling in Abaqus. Some conclusions are obtained which can provide a guide for the design of PIP pipelines.

• 한국강구조학회 논문집
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• 제22권3호
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• pp.219-228
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• 2010

본 논문에는 압축력을 받는 국부좌굴, 뒤틀림좌굴 및 두 좌굴의 혼합좌굴이 발생하는 종방향 보강재가 부착된 강판의 거동 및 극한 강도에 대한 실험적인 연구를 서술하였다. 압축력을 받는 보강판의 경우 서브패널의 폭-두께비와 보강재의 휨강성에 따라서 국부좌굴, 뒤틀림좌굴 또는 두 좌굴의 혼합형태의 좌굴이 발생하게 되고, 상당한 크기의 후좌굴강도가 발현되어 보강판의 극한강도를 지배하게 된다. 보강재의 휨강성과 보강재로 구분된 서브패널의 폭-두께비가 다른 두께 4.0mm, 공칭항복강도 235MP인 SM400 강판으로 제작된 보강판의 중심압축실험을 수행하고 유한요소해석결과와 비교하여 검증하였다. 실험 결과에 근거하여 보강판의 극한강도를 예측할 수 있는 직접강도법을 적용한 설계압축강도식을 제안하였다. 제안된 직접강도법은 뒤틀림좌굴 또는 국부좌굴과 뒤틀림좌굴이 혼합하여 발생하는 종방향 보강재로 보강된 강판의 극한강도를 적절하게 예측할 수 있는 것으로 판단되었다.

• Structural Engineering and Mechanics
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• 제58권3호
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• pp.515-532
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• 2016

The elastoplastic response of functionally graded material (FGM) beams resting on a nonlinear elastic foundation to an eccentric axial load is investigated by using the finite element method. The FGM is assumed to be formed from ceramic and metal phases with their volume fraction vary in the thickness direction by a power-law function. A bilinear elastoplastic behavior is assumed for the metallic phase, and the effective elastoplastic properties of the FGM are evaluated by Tamura-Tomota-Ozawa (TTO) model. Based on the classical beam theory, a nonlinear finite beam element taking the shift in the neutral axis position into account is formulated and employed in the investigation. An incremental-iterative procedure in combination with the arc-length control method is employed in computing the equilibrium paths of the beams. The validation of the formulated element is confirmed by comparing the equilibrium paths obtained by using the present element and the one available in the literature. The numerical results show that the elastoplastic post-buckling of the FGM beams is unstable, and the post-buckling strength is higher for the beams associated with a higher ceramic content. Different from homogeneous beams, yielding in the FGM beam occurs in the layer near the ceramic layer before in the layer near metal surface. A parametric study is carried out to highlight the effect of the material distribution, foundation support and eccentric ratio on the elastoplastic response of the beams.

• 대한토목학회논문집
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• 제8권2호
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• pp.13-24
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• 1988

본(本) 논문(論文)은 평면(平面)뼈대 구조물(構造物)의 동적(動的) 후좌굴(後座屈) 거동(擧動)을 파악(把握)하기 위하여 기하적(幾何的)인 비선형(非線型) 유한요소법(有限要素法)을 제시(提示)한다. 이를 위하여 3차원(次元) 연속체(連續體)에 대한 가상(假想)일의 원리(原理)에 배루누이-오일러 가정을 도입하므로서, 평면(平面)뼈대에 대한 탄성강도(彈性剛度)매트릭스, 기하적(幾何的)인 강도(剛度)매트릭스 그리고 질량(質量)매트릭스들을 유도한다. circulatory force를 받는 경우에는 circulatory discrete joint load와 circulatory distributed load에 대한 load correction stiffness matrix를 유도하므로써 이러한 하중을 받는 구조물(構造物)의 접선강도(接線剛度)매트릭스는 비대칭 행렬임을 보인다. 유도된 비선형(非線型) 운동방정식(運動方程式)의 해(解)는 Newton-Raphson 방법(方法) 및 Newmark 방법(方法)을 사용(便用)하여 구한다.

• 한국강구조학회 논문집
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• 제11권2호통권39호
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• pp.153-165
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• 1999

비대칭단면을 갖는 박벽 공간뼈대구조의 횡후좌굴거동을 조사하기 위하여 기하학적 비선형 유한요소 해석법을 제시한다. 대변형효과를 고려한 연속체의 증분평형방정식으로부터, 도심에서 정의되는 딤(warping)함수를 고려하고 유한한 회전각의 2차항 효과를 포함하는 변위장을 도입하여 초기응력을 받는 박벽 공간뼈대요소의 증분평형방정식을 유도한다. 박벽 공간뼈대구조를 유한요소로 나누고 변위장을 요소변위에 관한 Hermitian 다항식으로 나타내어 이를 평형방정식에 대입함으로써 접선강도행렬을 유도한다. 또한 updated Lagrangian co-rotational formulation에 근거하여, 증분변위로부터 강체회 전변위와 순수변형성분을 분리시켜서 강체회전은 요소의 방향변화를 결정하고, 순수변형은 부재력증분을 산정하는 불평형하중 산정법을 제시한다.