• Structural Engineering and Mechanics
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• 제36권5호
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• pp.545-560
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• 2010

Two or more distinct materials are combined into a single functionally graded material (FGM) where the microstructural composition and properties change gradually. Thermal post-buckling behavior of uniform slender FGM beams is investigated independently using the classical Rayleigh-Ritz (RR) formulation and the versatile Finite Element Analysis (FEA) formulation developed in this paper. The von-Karman strain-displacement relations are used to account for moderately large deflections of FGM beams. Bending-extension coupling arising due to heterogeneity of material through the thickness is included. Simply supported and clamped beams with axially immovable ends are considered in the present study. Post-buckling load versus deflection curves and buckled mode shapes obtained from both the RR and FEA formulations for different volume fraction exponents show an excellent agreement with the available literature results for simply supported ends. Response of the FGM beam with clamped ends is studied for the first time and the results from both the RR and FEA formulations show a very good agreement. Though the response of the FGM beam could have been studied more accurately by FEA formulation alone, the authors aim to apply the RR formulation is to find an approximate closed form post-buckling solutions for the FGM beams. Further, the use of the RR formulation clearly demonstrates the effect of bending-extension coupling on the post-buckling response of the FGM beams.

• Earthquakes and Structures
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• 제1권4호
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• pp.371-390
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• 2010

Historical buildings in seismically active regions are severely damaged by earthquakes, since they certainly were not designed by the original builders to withstand seismic effects. In particular the reports after major ground motions indicate that earthquake-induced pounding between buildings may lead to substantial damage or even collapse of colliding structures. The research on structural pounding during earthquakes has been recently much advanced, although most of the studies are conducted on simplified single degree of freedom systems. In this paper a detailed pounding-involved response analysis of three adjacent structures is performed, concerning the main bodies of the "Quinto Orazio Flacco" school. The construction includes a main masonry building, with an M-shaped plan, and a reinforced concrete building, separated from the masonry one and realized along its free perimeter. By the analysis of the capacity curves obtained by suitable pushover procedures performed separately for each building, it emerges that masonry and reinforced concrete buildings are vulnerable to earthquake-induced structural pounding in the longitudinal direction. In particular, due to the geometric configuration of the school, a special case of impact between the reinforced concrete structure and two parts of the masonry building occurs. In order to evaluate the pounding-involved response of three adjacent structures, in this paper a numerical procedure is proposed, programmed using MATLAB software. Both a non-linear viscoelastic model to simulate impact and an elastic-perfectly plastic approximation of the storey shear force-drift relation are assumed, differently from many commercial softwares which admit just one non-linearity.

• Steel and Composite Structures
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• 제24권3호
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• pp.287-296
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• 2017

The buckling capacity of a radially retractable hybrid grid shell in the closed position was investigated in this paper. The geometrically non-linear elastic buckling and elasto-plastic buckling analyses of the hybrid structure were carried out. A parametric study was done to investigate the effects rise-to-span ratio, beam section, area and pre-stress of cables, on the failure load. Also, the influence of the shape and scale of imperfections on the elasto-plastic buckling loads was discussed. The results show that the critical buckling load is reduced by taking account of material non-linearity. Furthermore, increasing the rise-to-span ratio or the cross-section area of steel beams notably improves the stability of the structure. However, the cross section area and pre-stress of cables pose negligible effect on the structural stability. It can also be found that the hybrid structure is highly sensitive to geometric imperfection which will considerably reduce the failure load. The proper shape and scale of the imperfection are also important.

• Structural Engineering and Mechanics
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• 제45권5호
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• pp.677-691
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• 2013

A semi-analytical finite strip method is developed for analyzing the post-buckling behavior of rectangular composite laminated plates of arbitrary lay-up subjected to progressive end-shortening in their plane and to normal pressure loading. In this method, all the displacements are postulated by the appropriate harmonic shape functions in the longitudinal direction and polynomial interpolation functions in the transverse direction. Thin or thick plates are assumed and correspondingly the Classical Plate Theory (CPT) or Higher Order Plate Theory (HOPT) is applied. The in-plane transverse deflection is allowed at the loaded ends of the plate, whilst the same deflection at the unloaded edges is either allowed to occur or completely restrained. Geometric non-linearity is introduced in the strain-displacement equations in the manner of the von-Karman assumptions. The formulations of the finite strip methods are based on the concept of the principle of the minimum potential energy. The Newton-Raphson method is used to solve the non-linear equilibrium equations. A number of applications involving isotropic plates, symmetric and unsymmetric cross-ply laminates are described to investigate the through-thickness shearing effects as well as the effect of pressure loading, end-shortening and boundary conditions. The study of the results has revealed that the response of the composite laminated plates is particularly influenced by the application of the Higher Order Plate Theory (HOPT) and normal pressure loading. In the relatively thick plates, the HOPT results have more accuracy than CPT.

• Coupled systems mechanics
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• 제8권5호
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• pp.439-457
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• 2019

In this paper, a new application of a four variable refined plate theory to analyze the nonlinear bending of functionally graded plates exposed to thermo-mechanical loadings, is presented. This recent theory is based on the assumption that the transverse displacements consist of bending and shear components in which the bending components do not contribute toward shear forces, and similarly, the shear components do not contribute toward bending moments. The derived transverse shear strains has a quadratic variation across the thickness that satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The material properties are assumed to vary continuously through the thickness of the plate according to a power-law distribution of the volume fraction of the constituents. The solutions are achieved by minimizing the total potential energy. The non-linear strain-displacement relations in the von Karman sense are used to derive the effect of geometric non-linearity. It is concluded that the proposed theory is accurate and simple in solving the nonlinear bending behavior of functionally graded plates.

• 한국전산구조공학회논문집
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• 제29권1호
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• pp.29-36
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• 2016

러그는 선박 및 해양구조물의 블록을 이동하거나 반전에 많이 사용되는 부품이다. 선박이나 해양구조물의 제작기술이 발전함에 따라 블록이 점차 대형화되고 있어, 생산성 향상을 위해 블록을 보다 효율적으로 다루는 기술에 대한 중요성이 대두되고 있다. 러그 구조의 안전하고 경제적인 설계를 위하여 비선형 구조해석 결과를 토대로 도출한 최종강도를 기준으로 한 보다 합리적인 설계과정이 필요하다. 본 연구는 조선소에서 자주 사용하는 T형 러그의 최적 구조설계를 다루고 있다. 본 연구에서의 T형 러그에 대한 최적 구조설계 결과는 충분한 구조적 안전성이 보장될 것으로 판단되고, 러그 용량별 최적 구조설계 결과의 중량 감소량에 어떤 규칙성을 발견할 수 없었는데, 이는, 현재의 설계과정에 대한 검토가 필요한 것으로 생각된다. 여기에서 제시한 비선형 구조해석에 기초한 최적 구조설계 과정은 향후 보다 다양한 경우의 러그 설계에 적용될 수 있을 것이다.

• 한국방재학회 논문집
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• 제10권4호
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• pp.1-7
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• 2010

최근 기상이변에 따른 폭설로 인한 단동온실의 붕괴가 빈번해져서 농가의 피해가 증가하고 있다. 하지만 이에 대한 연구는 미약하여 매년 농가의 피해는 되풀이 되고 있다. 폭설로 인한 설계적설심 증가에 따라 단동온실의 단면을 증가시키거나 서까래 간격을 줄이는 방법이 있으나 시공비와 골조율 증가 등의 단점이 있다. 따라서, 본 연구에서는 골조율 증가의 최소화와 경제적으로 단동온실의 구조적 안전성을 향상시킬 수 있는 방법을 모색하고자 여러 형태의 보강방법에 대하여 하중단계별 기하학적 비선형성을 고려한 대변위해석을 수행하여 온실의 조합강도비와 응력을 비교, 분석하여 최적의 보강방법 모델을 제시하고자 한다.

• 한국구조물진단유지관리공학회 논문집
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• 제8권4호
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• pp.153-163
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• 2004

본 연구에서는 구조물의 최적설계에서 나타나는 여러 가지 불확실성을 고려하기 위해 퍼지이론을 도입한 다목적 강구조 퍼지 최적설계에 관한 연구로, 다목적 퍼지 최적설계가 단일 목적의 최적설계보다 합리적인 설계가 됨을 보이는데 목적이 있다. 최적설계에 시용된 목적함수는 구조물의 중량과 처짐을 최소화하는 다목적 함수로 취하였고, 제약조건은 하중저항계수설계법(AISC-LRFD, 1994)의 설계규준을 따랐으며, 구조해석은 기하학적인 비선형을 고려한 유한요소해석법을 이용하였다. 성질이 서로 다른 다목적을 가지는 최적문제를 다루기 위하여 소속중요도 적용법과 목적중요도 적용법을 이용하여 다양한 최적해를 구함으로써, 사용자에게 현실여건에 알맞는 합리적인 최적 해를 선택할 수 있는 가능성을 제시하였다.

• 한국강구조학회 논문집
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• 제16권5호통권72호
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• pp.653-660
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• 2004

도심지의 토지 이용률을 높이기 위하여 상대적으로 단면이 작은 원형 강교각의 건설이 요구되고 있다. 이때 줄어든 단면으로 인해 감소된 좌굴내하력을 높이는 방안으로 수직보강재의 적용을 고려할 수 있다. 그러나 수직보강재를 적용함으로써 얻어질 수 있는 좌굴내하력의 증가효과는 아직 명확하지 않다. 본 연구에서는 기하학적, 재료학적 비선형을 고려한 탄소성 유한요소해석을 수행하여 원형강교각의 반지름-두께비에 따른 수직보강재의 수가 좌굴내하력에 미치는 영향을 명확히 하였다. 또한, 수직보강재의 폭과 두께, 원형강교각의 세장비에 따른 좌굴해석을 수행하여 그 관계를 명확히 하였다.

• Steel and Composite Structures
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• 제33권4호
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• pp.595-614
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• 2019

In cold-formed steel (CFS) structures, such as trusses, transmission towers and portal frames, the use of back-to-back built-up CFS unequal angle sections are becoming increasingly popular. In such an arrangement, intermediate welds or screw fasteners are required at discrete points along the length, preventing the angle sections from buckling independently. Limited research is available in the literature on axial strength of back-to-back built-up CFS unequal angle sections. The issue is addressed herein. This paper presents an experimental investigation on both the welded and screw fastened back-to-back built-up CFS unequal angle sections under axial compression. The load-axial shortening and the load verses lateral displacement behaviour along with the deformed shapes at failure are reported. A nonlinear finite element (FE) model was then developed, which includes material non-linearity, geometric imperfections and modelling of intermediate fasteners. The FE model was validated against the experimental test results, which showed good agreement, both in terms of failure loads and deformed shapes at failure. The validated FE model was then used for the purpose of a parametric study to investigate the effect of different thicknesses, lengths and, yield stresses of steel on axial strength of back-to-back built-up CFS unequal angle sections. Five different thicknesses and seven different lengths (stub to slender columns) with two different yield stresses were investigated in the parametric study. Axial strengths obtained from the experimental tests and FE analyses were used to assess the performance of the current design guidelines as per the Direct Strength Method (DSM); obtained comparisons show that the current DSM is conservative by only 7% on average, while predicting the axial strengths of back-to-back built-up CFS unequal angle sections.