• Steel and Composite Structures
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• 제42권5호
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• pp.711-722
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• 2022

In this paper, hyperbolic shear deformation plate theory is developed for thermal buckling of functionally graded plates with porosity by dividing transverse displacement into bending and shear parts. The present theory is variationally consistent, and accounts for a quadratic variation of the transverse shearstrains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Three different patterns of porosity distributions (including even and uneven distribution patterns, and the logarithmic-uneven pattern) are considered. The logarithmic-uneven porosities for first time is mentioned. Equilibrium and stability equations are derived based on the present theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. A comprehensive parametric study is carried out to assess the effects of volume fraction index, porosity fraction index, aspect ratio and side-to-thickness ratio on the buckling temperature difference of imperfect FG plates.

• 한국구조물진단유지관리공학회 논문집
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• 제18권3호
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• pp.10-19
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• 2014

파형강판은 제형, 정현형 등의 형상으로 얇은 강판을 주름지게 가공한 것으로 두꺼운 평판을 대신하여 사용하여도 높은 면외방향의 강성을 확보할 수 있다. 또한, 아코디언효과로 축방향 강성이 거의 없어 플레이트거더의 웨브에 적용할 경우 웨브가 전단력만을 부담하는 방법으로 쉽게 설계할 수 있다. 그러나 파형강판의 전단좌굴은 평판과는 달리 국부좌굴과 전체좌굴 외에도 이들의 연성에 의해서도 좌굴이 발생하는 매우 복잡한 특성이 있으며, 이러한 연성좌굴에 대한 원인과 특성의 규명은 정현형의 경우 제형보다 연구결과가 부족한 실정이다. 따라서 본 연구에서는 정현형 파형강판의 전단좌굴 특성과 연성좌굴이 발생하는 경향에 대해서 연구하였다. 전단좌굴강도를 계산하기 위해서는 유한요소프로그램을 이용하였고 해석결과를 정해와 비교하였다. 또한, 주름의 두께와 형상 파라메타에 따른 좌굴응력 변화의 특성과 좌굴모드형상의 변화를 분석하였으며, 이들의 결과를 이론식의 결과와 비교하여 좌굴양상의 변화시점에 대해서 분석하였다.

• Structural Engineering and Mechanics
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• 제26권6호
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• pp.673-685
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• 2007

Reinforced concrete beams can be strengthened in a structural retrofit process by attaching steel plates to their sides by bolting. Whilst bolting produces a confident degree of shear connection under conditions of either static or seismic overload, the plates are susceptible to local buckling. The aim of this paper is to investigate the local buckling of unilaterally-restrained plates with point supports in a generic fashion, but with particular emphasis on the provision of the restraints by bolts, and on the geometric configuration of these bolts on the buckling loads. A numerical procedure, which is based on the Rayleigh-Ritz method in conjunction with the technique of Lagrange multipliers, is developed to study the unilateral local buckling of rectangular plates bolted to the concrete with various arrangements of the pattern of bolting. A sufficient number of separable polynomials are used to define the flexural buckling displacements, while the restraint condition is modelled as a tensionless foundation using a penalty function approach to this form of mathematical contact problem. The additional constraint provided by the bolts is also modelled using Lagrange multipliers, providing an efficacious method of numerical analysis. Local buckling coefficients are determined for a range of bolting configurations, and these are compared with those developed elsewhere with simplifying assumptions. The interaction of the actions in bolted plates during buckling is also considered.

• 한국항해항만학회:학술대회논문집
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• 한국항해항만학회 2003년도 춘계공동학술대회논문집
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• pp.21-26
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• 2003

지금까지의 탄성설계 개념에서 진전하여 소성을 고려한 탄소성 설계 개념의 설계적용이 필요하다 본 연구에서는 선체의 대표적인 구조물인 판을 대상으로 일반적인 하중형증분법 및 변위형증분법과 같은 비선형해석 기법과 호장증분법과 Newton-Raphson법을 병용한 증분형해법을 비교하였다. 특히. 초기처짐의 형태에 따른 해석을 통하여 초지처짐의 형상에 따른 판의 탄소성거동을 규명하였다 압축하중을 받는 박판구조물은 초기좌굴후 거동과 2차좌굴후 거동이 구조물 전체에 미치는 영향이 매우 크며 이러한 복잡한 거동을 구하기 위해서 해석방법으로는 범용 유한요소해석 프로그램인 ANSYS를 이용하였고 특히 호장증분법은 좌굴점에서의 복잡한 비선형 거동을 추정하기 위하여 적용하였다.

• 한국강구조학회 논문집
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• 제16권2호통권69호
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• pp.257-265
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• 2004

line-type 유한요소법을 이용하여 불균등 단부 모멘트를 받는 보의 비탄성 좌굴 거동에 대하여 연구하였다. 잔류응력은 단순형과 다항식형 모델을 채택하였으며 잔류응력으로 인해 발생하는 단면의 불균등 항복을 고려하였다. 본 연구에서 얻어진 비탄성 횡-비틀림 좌굴에 대한 결과는 강구조편람의 허용응력법에 의한 설계 경우와 비교하였다. 결과적으로, 강구조편람에 의한 설계는 중지간 보에서 중간 브레이싱이 있는 경우나 없는 경우 모두 과설계가 됨을 알 수 있었다.

• Advances in Computational Design
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• 제5권4호
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• pp.397-416
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• 2020

Functionally graded material (FGM) illustrates a novel class of composites that consists of a graded pattern of material composition. FGM is engineered to have a continuously varying spatial composition profile. Current work focused on buckling analysis of beam made of stepwise linear and quadratic graded material in axial direction subjected to axial span-load with piecewise function and rested on shear layer based on classical beam theory. The various boundary and natural conditions including simply supported (S-S), pinned - clamped (P-C), axial hinge - pinned (AH-P), axial hinge - clamped (AH-C), pinned - shear hinge (P-SHH), pinned - shear force released (P-SHR), axial hinge - shear force released (AH-SHR) and axial hinge - shear hinge (AH-SHH) are considered. To the best of the author's knowledge, buckling behavior of this kind of Euler-Bernoulli beams has not been studied yet. The equilibrium differential equation is derived by minimizing total potential energy via variational calculus and solved analytically. The boundary conditions, natural conditions and deformation continuity at concentrated load insertion point are expressed in matrix form and nontrivial solution is employed to calculate first buckling loads and corresponding mode shapes. By increasing truncation order, the relative error reduction and convergence of solution are observed. Fast convergence and good compatibility with various conditions are advantages of the proposed method. A MATLAB code is provided in appendix to employ the numerical procedure based on proposed method.

• Composites Research
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• 제14권2호
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• pp.43-49
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• 2001

무선 랜용 시스템에 응용할 수 있는 스마트 스킨의 좌굴에 따른 성능변화에 대하여 살펴보았다. 스마트 스킨 구조물은 샌드위치 구조물을 응용한 것으로써 3층의 면재가 있으며 각 면재 사이에는 하니콤 심재가 있다. 좌굴하중을 Rayleigh-Ritz방법에 의하여 예측하고 실험결과와 비교하였다. 압축시 심재를 둘러싸고 있는 면재만 하중을 지지한다고 가정하여 좌굴이 발생하지 않는 시편의 길이를 계산하였으며, 그 근방에서는 좌굴 현상이 명확이 발생하지 않음을 확인 할 수 있었다. 시편의 길이가 길어 좌굴이 명확하게 발생한 경우 예측식과 잘 일치하였다. 좌굴의 진행정도에 따른 반사 계수와 방사패턴을 측정하여 안테나의 성능변화에 대하여 살펴보았으며, 하중지지능력이 상실된 후에 안테나의 기능이 상실됨을 확인하였다.

• Earthquakes and Structures
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• 제26권4호
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• pp.251-259
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• 2024

In this paper, the thermal post-buckling behavior of graphene platelets reinforced metal foams (GPLRMFs) plate with initial geometric imperfections on nonlinear elastic foundations are studied. First, the governing equation is derived based on the first-order shear deformation theory (FSDT) of plate. To obtain a single equation that only contains deflection, the Galerkin principle is employed to solve the governing equation. Subsequently, a comparative analysis was conducted with existing literature, thereby verifying the correctness and reliability of this paper. Finally, considering three GPLs distribution types (GPL-A, GPL-B, and GPL-C) of plates, the effects of initial geometric imperfections, foam distribution types, foam coefficients, GPLs weight fraction, temperature changes, and elastic foundation stiffness on the thermal post-buckling characteristics of the plates were investigated. The results show that the GPL-A distribution pattern exhibits the best buckling resistance. And with the foam coefficient (GPLs weight fraction, elastic foundation stiffness) increases, the deflection change of the plate under thermal load becomes smaller. On the contrary, when the initial geometric imperfection (temperature change) increases, the thermal buckling deflection increases. According to the current research situation, the results of this article can play an important role in the thermal stability analysis of GPLRMFs plates.

• 대한용접접합학회:학술대회논문집
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• 대한용접접합학회 2002년도 Proceedings of the International Welding/Joining Conference-Korea
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• pp.661-667
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• 2002

Welding-induced buckling distortion is one of the most problematic concerns in both design and fabrication of welded thin-plate structures. This paper deals with experimental and numerical results of the welding-induced longitudinal and/or buckling distortion occurring in welding of 6mm-thick AH36 high strength steel plates. Effects of the heat input and the plate size on the distortion were experimentally evaluated for square plates. Bead-on-plate welding was performed with the submerged arc welding process along the middle line of plate specimens. Experimental results showed that the longitudinal distortion made a single curvature in the plate, and the distortion magnitude along the weld centerline was proportional to the heat input and the plate size. The experimental results were used to examine the validity of the numerical simulation procedure for welding-induced distortion where the longitudinal distortion mode and magnitude were numerically quantified. Three-dimensional, large deformation, welding simulations were performed for selected weld models. Numerical results of the distortion mode and magnitude were in a good agreement with experimental ones. Depending on the presence of halting the distortion growth during the cooling cycle of welding, the condition discriminating buckling distortion from longitudinal distortion was established. Eigenvalue analyses were performed to check the buckling instability of tested plates with different sizes subjected to different heat inputs. The perturbation load pattern for the analysis was extracted from longitudinal inherent strain distributions. Critical buckling curve from the eigenvalue analyses revealed that the buckling instability is manifested when plate size or heat input increases.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2005년도 추계학술대회 논문집
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• pp.410-413
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• 2005

The results of an experimental and analytical study of composite pressure hull on buckling pressure are presented for LRN 300. Composite tensile test was done to know the composite material properties applied FE analysis for URN composite. We predicted the buckling and post buckling analysis of composite laminated cylindrical panels under external compression by using ABAQUS /Standard[Ver 6.4]. To obtain nonlinear static equilibrium solutions for unstable problems, where the load-displacement response can exhibit the type of nonlinear buckling behavior, during periods of the response, the load and/or the displacement may decrease as the solution evolves, used the modified Riks method. The modified Riks method is an algorithm that allows effective solution of such cases [7]. Experiments were conducted to verify the validation of present analysis for cross-ply laminated shells. The shells considered in the study have two different lamination patterns, $[{\pm}45/0/90]_{18s\;and}\;[/0/90]_{18s}$. Cylindrical panel of experiment and analysis have the radius of 200mm, length of 210mm and 60 degree of cutting angle. The critical load from experiment is $69\%$ of that of numerical analysis, because the fracture of matrix was generated before buckling. So URN 300 is not proper to use at the condition under high external pressue.