• Structural Engineering and Mechanics
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• 제35권2호
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• pp.141-173
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• 2010

In this paper a boundary element method is developed for the general flexural-torsional buckling analysis of Timoshenko beams of arbitrarily shaped cross section. The beam is subjected to a compressive centrally applied concentrated axial load together with arbitrarily axial, transverse and torsional distributed loading, while its edges are restrained by the most general linear boundary conditions. The resulting boundary value problem, described by three coupled ordinary differential equations, is solved employing a boundary integral equation approach. All basic equations are formulated with respect to the principal shear axes coordinate system, which does not coincide with the principal bending one in a nonsymmetric cross section. To account for shear deformations, the concept of shear deformation coefficients is used. Six coupled boundary value problems are formulated with respect to the transverse displacements, to the angle of twist, to the primary warping function and to two stress functions and solved using the Analog Equation Method, a BEM based method. Several beams are analysed to illustrate the method and demonstrate its efficiency and wherever possible its accuracy. The range of applicability of the thin-walled theory and the significant influence of the boundary conditions and the shear deformation effect on the buckling load are investigated through examples with great practical interest.

• Structural Engineering and Mechanics
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• 제5권3호
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• pp.269-281
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• 1997

The overall buckling mode in a composite steel-concrete beam over an internal support is necessarily lateral-distortional, in which the bottom compressive range displaces laterally and twists, since the top flange is restrained by the nearly rigid concrete slab. An efficient finite element method is used to study elastic lateral-distortional buckling in composite beams whose steel portion is tapered. The simplified model for a continuous beam that is presented herein is a fixed ended cantilever whose steel portion is tapered, and is subjected to moment gradient. This is intended to give an insight into distortion in a continuous beam that occurs in the negative bending region, and the differences between the cantilever representation and the continuous beam are highlighted. An eigenproblem is established, and the buckling modes and loads are determined in the elastic range of structural response. It is found from the finite element study that the buckling moment may be enhanced significantly by using a vertical stiffener in the region where the lateral movement of the bottom range is greatest. This enhancement is quantified in the paper.

• Smart Structures and Systems
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• 제21권3호
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• pp.349-358
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• 2018

This paper investigates the free vibration analysis of double-beam system coupled by a two-degree-of-freedom mass-spring system. In order to generalize the model, the main beams are assumed to be elastically restrained against translation and rotation at one end and free at the other. Furthermore, the mass-spring system is elastically connected to the beams at adjustable positions by means of four translational and rotational springs. The governing differential equations of the beams and the mass-spring system are derived and analytically solved by using the Fourier transform method. Moreover, as a second way, a finite element solution is derived. The frequency parameters and mode shapes of some diverse cases are obtained using both methods. Comparison of obtained results by two methods shows the accuracy of both solutions. The influence of system parameters on the free vibration response of the studied mechanical system is examined.

• 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.

• 전기학회논문지
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• 제66권12호
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• pp.1852-1865
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• 2017

The vibration of the structures with restrained motion has long been observed in various engineering fields. When the motion of vibrating structure is restrained due to the adjacent objects, the frequencies and the mode shapes of the structure change and its vibration characteristics becomes unpredictable, in general. Although the importance of the study on this type of vibration model increases in many engineering areas, most studies conducted so far are limited to the theoretical study on dynamic responses of the structure with stops, including some experimental works. Specially, the study on the nonlinear phenomena due to the impact between the structure and the stops have been mainly performed theoretically. In the paper, both numerical analyses and experiments are conducted to study the chaotic vibration characteristics of the nonlinear motion and the dynamic response of a cantilevered beam which has restrained motion at the free end by the stops. Results are presented for various magnetic forces and gaps between the beam and stops. The conclusions are as follows : Firstly, Numerical simulation results have a good agreement with experimental ones. Secondly, the effect of higher modes of beams are increased with increasing magnitude of exciting force, and displacement and velocity curves become more complicated shapes. Thirdly, nonlinear characteristics tend to appear greatly with increasing magnitude of exciting force, and fractal dimension is increased.

• 한국지진공학회논문집
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• 제7권4호
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• pp.1-13
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• 2003

본 연구에서는 전단변형을 고려한 비대칭 박벽 곡선보의 자유진동해석을 수행할 수 있는 일반이론을 제시하기 위하여, 3차원 연속체에 대한 가상일의 원리로부터 전단변형 효과를 고려하고 비대칭 박벽단면과 ？(Warping)을 포함하는 변위장을 도심 축에 대해 정의한 후 곡선보의 변형도-변위관계로부터 공간 박벽 곡선보의 일반화된 탄성변형에너지와 운동에너지를 새롭게 유도한다. 또한, 전단변형이 고려된 곡선보의 총포텐셜에너지에 대해 변분을 취함으로써 평형방정식과 힘-변위관계를 제시한다. 한편, 제시된 이론에 대해 등매개 보요소를 도입하여 유한요소 정식화를 수행하였으며 곡선보의 동적 거동특성을 조사하기 위하여 전단변형, 곡률효과 그리고 진동모드에 대한 매개변수 연구를 수행한다. 마지막으로, 본 연구의 타당성을 입증하기 위하여, 다양한 해석예제에 대한 3차원 고유진동수를 산정하고 타 연구자들의 결과 및 ABAQUS의 쉘요소를 이용한 해석결과와 비교ㆍ검증한다.

• Steel and Composite Structures
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• 제29권4호
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• pp.423-435
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• 2018

There are presently two general ways of accounting for hazardous metal creep in structural fire analyses: either we incorporate creep strains implicitly in hardening model ('implicit-creep' plasticity) or we account for creep explicitly ('explicit-creep' plasticity). The first approach is simpler and usually used for fast engineering applications, e.g., following proposals of EN 1993-1-2. Prioritizing this approach without consideration of its limitations, however, may lead to significant error. So far the possible levels of such error have been demonstrated by few researchers for individual structural elements (i.e., beams and columns). This paper, however, presents analyses also for selected beam-girder assemblies. Special numerical models are developed correspondingly and they are validated and verified. Their important novelty is that they do not only account for creep in individual members but also for creep in between-member connections. The paper finally shows that outside the declared applicability limits of the implicit-creep plasticity models, the failure times predicted by the applied alternative explicit-creep models can be as much as 40% shorter. Within the limits, however, the discrepancies might be negligible for majority of cases with the exception of about 20% discrepancies found in one analysed example.

• 한국지진공학회논문집
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• 제3권1호
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• pp.41-54
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• 1999

비대칭 박벽단면을 갖는 곡선보의 자유진동해석을 수행할 수 있는 유한요소 이론 및 엄밀해를 제시하기 위하여 가상일의 원리를 이용한 3차원 연속체의 운동방정식을 제시한다 박벽단면의 구속된 비틂효과를 고려하는 박벽 곡선보의 변위장을 도입하고 이를 연소체의 운동방정식에 대입하여 단면에 대해 적분함으로써 박벽 곡선보의 운동방정식을 유도한다. 단순지지되고 일축대칭단면을 갖는 박벽 곡선보의 면내 자유진동 모드에 대응하는엄밀해를 산정하였으며 곡선보를 유한요소로 분할하여 요소의 변위장을 요소 변위벡터에 관한 3차의 Hermitian 다항식으로 나타내고 이를 운동방정식에 대입함으로써 탄성강도행렬과 질량 행렬을 유도한다 또한 본 연구에서 얻어진 엄밀해와 곡선보요소를 이용한 유한요소 해석결과를 직선보요소 및 ABAQUS의 쉘요소를 이용하여 얻어진 결과와 비교 검토를 함으로써 본 연구의 타당성을 입증한다.

• 한국강구조학회 논문집
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• 제23권5호
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• pp.595-606
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• 2011

본 연구는 기둥-보 접합부의 강성에 따른 철골 모멘트 골조의 동적특성의 차이를 파악하는데 목적이 있다. 6층의 철골 모멘트 골조를 설계하였으며, 접합부는 DWA (Double Web-Angle Connection), TSW (Top-and Seat-Angle Connection with Double Web-Angle), FEMA(SAC-Test Summary No.28, Specimen ID : UCSD-6) 접합부를 사용하였고, 완전강접합부의 동적거동특성과 상호 비교 검토하였다. 반강접 접합부의 회전강성은 Chen 과 Kishi 에 의해 제안된 3매개변수파워모델을 사용하여 구하였다. 접합부의 회전 강성을 보의 강성으로 나누어 상대강성으로 정의하여 사용하였다. 모든 골조에 대하여 비선형 정적해석(push over analysis), 반복하중 해석 및 시간이력해석을 수행하였다. 각 접합부의 강성에 따른 내진거동은 층간변위, 소성힌지 및 이력 에너지 분배의 항목별로 비교 분석하였다.

• 대한토목학회논문집
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• 제13권1호
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• pp.1-12
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• 1993

가상변수(假想變數)의 원리(原理)를 이용하여 공간박벽(空間薄璧) 및 뼈대구조물(構造物)의 비틂 및 횡좌굴해석(橫挫掘解析)을 수행하기 위한 접선강도(接線剛度)매트릭스들이 유도(誘導)된다. 구속(拘束)된 비틂을 고려하는 경우와 무시하는 경우 각각에 대하여, 탄성(彈性) 및 기하적(幾何的)인 강도(剛度)매트릭스들이 얻어지며 이때 축방향(軸方向) 변위(變位), 횡방향(橫方向) 처짐들, 그리고 비틂회전각에 대하여 적절한 Hermitian 다항식들을 형상함수(形狀函數)로 사용된다. 수치해석예제(數値解析例題)들을 통하여 본 연구(硏究)에서 제시한 이론(理論)의 정당성(正當性)을 입증(立證)한다.