• 제목/요약/키워드: structural displacement

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Geometrically non-linear static analysis of a simply supported beam made of hyperelastic material

  • Kocaturk, T.;Akbas, S.D.
    • Structural Engineering and Mechanics
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    • 제35권6호
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    • pp.677-697
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    • 2010
  • This paper focuses on geometrically non-linear static analysis of a simply supported beam made of hyperelastic material subjected to a non-follower transversal uniformly distributed load. As it is known, the line of action of follower forces is affected by the deformation of the elastic system on which they act and therefore such forces are non-conservative. The material of the beam is assumed as isotropic and hyperelastic. Two types of simply supported beams are considered which have the following boundary conditions: 1) There is a pin at left end and a roller at right end of the beam (pinned-rolled beam). 2) Both ends of the beam are supported by pins (pinned-pinned beam). In this study, finite element model of the beam is constructed by using total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element. The considered highly non-linear problem is solved by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. In order to use the solution procedures of Newton-Raphson type, there is need to linearized equilibrium equations, which can be achieved through the linearization of the principle of virtual work in its continuum form. In the study, the effect of the large deflections and rotations on the displacements and the normal stress and the shear stress distributions through the thickness of the beam is investigated in detail. It is known that in the failure analysis, the most important quantities are the principal normal stresses and the maximum shear stress. Therefore these stresses are investigated in detail. The convergence studies are performed for various numbers of finite elements. The effects of the geometric non-linearity and pinned-pinned and pinned-rolled support conditions on the displacements and on the stresses are investigated. By using a twelve-node quadratic element, the free boundary conditions are satisfied and very good stress diagrams are obtained. Also, some of the results of the total Lagrangian finite element model of two dimensional continuum for a twelve-node quadratic element are compared with the results of SAP2000 packet program. Numerical results show that geometrical nonlinearity plays very important role in the static responses of the beam.

3차원 영상분석을 활용한 석탑의 해체와 재조립 : 심곡사칠층석탑 사례 연구 (Disassembly and Reconstruction of Stone Pagoda Using 3-Dimensional Image Analysis : Case Study in Simgoksa Seven-storied Stone Pagoda)

  • 최희수;이찬희;한성희;이성민
    • 보존과학회지
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    • 제32권4호
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    • pp.561-570
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    • 2016
  • 이 연구는 심곡사칠층석탑의 해체와 재조립에 3차원 영상분석 기법을 적용하여 원형에 가깝게 보수한 기술적 사례로써 의미가 있다. 석탑의 해체와 재조립 과정에서 전체적인 변형상태와 변위를 분석하였으며 구조적 안정성 검토를 통하여 재조립에 따른 변형을 최소화하였다. 또한 석탑의 원위치도 재검토하여 보수에 적용하였다. 재조립에 앞서 오염된 석재의 표면은 과학적 표면세정을 통해 이끼류와 지의류 등을 제거하였고, 석탑의 지반은 강회를 이용한 판축과 유사한 형식으로 다짐하여 보강하였다. 이 결과는 석탑의 해체와 재조립 과정에 중요한 자료로 활용될 수 있을 것이다.

탄소섬유시트와 비좌굴 가새를 이용한 저층 필로티 구조물의 보-기둥 연결부의 횡방향 보강효과에 관한 실험적 연구 (Experimental Investigation of Lateral Retrofitting Effect with CFRP and BRB (Buckling-Restrained Brace) for Beam-column Joints of Low-Rise Piloti Buildings)

  • 서상훈;유연종;이영학;김희철;이기학;이한선
    • 한국지진공학회논문집
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    • 제13권1호
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    • pp.45-52
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    • 2009
  • 본 연구의 목적은 일정 축하중과 반복횡하중 하에서 탄소섬유시트와 비좌굴 가새로 보강된 보-기둥 시험체의 횡방향 거동 평가를 통하여 사용된 보강 방법의 구조적 성능을 검증하는 것이다. 세 개의 시험체를 비보강, 탄소섬유보강, 탄소섬유와 비좌굴 가새 보강 방법을 각각 적용하여 제작하였다. 변위에 따른 최대, 최소하중은 하중-변위 관계를 분석함으로써 평가되어지며, 하중과 강성의 관계는 비교구간의 유효강성 분석에 의해 평가된다. 실험의 수행 결과, 보강을 하지 않은 시험체에 비하여 보강을 적용한 시험체는 최대허용하중과 유효강성, 철근 항복 시 재하 횡하중, 변위연성비 등에서 상대적으로 우수한 성능을 보였다.

다양한 기초 형식에 따른 단자유도 구조물 지진하중 평가를 위한 동적 원심모형실험 (Dynamic Centrifuge Tests for Evaluating the Earthquake Load of the Structure on Various Foundation Types)

  • 하정곤;조성배;박헌준;김동관;김동수
    • 한국지진공학회논문집
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    • 제20권5호
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    • pp.285-293
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    • 2016
  • Soil-foundation-structure interaction (SFSI) is one of the important issues in the seismic design for evaluating the exact behavior of the system. A seismic design of a structure can be more precise and economical, provided that the effect of SFSI is properly taken into account. In this study, a series of the dynamic centrifuge tests were performed to compare the seismic response of the single degree of freedom(SDOF) structure on the various types of the foundation. The shallow and pile foundations were made up of diverse mass and different conjunctive condition, respectively. The test specimen consisted of dry sand deposit, foundation, and SDOF structure in a centrifuge box. Several types of earthquake motions were sequentially applied to the test specimen from weak to strong intensity of them, which is known as a stage test. Results from the centrifuge tests showed that the seismic responses of the SDOF structure on the shallow foundation and disconnected pile foundation decreased by the foundation rocking. On the other hand, those on the connected pile foundation gradually increased with intensity of input motion. The allowable displacement of the foundation under the strong earthquake, the shallow and the disconnected pile foundation, have an advantage in dissipating the earthquake energy for the seismic design.

잔골재 종류에 따른 폐유리 미분말 및 메타카올린을 사용한 내황산염 모르타르에 관한 기초적 연구 (A fundamental study on the sulphate-resistant mortar using waste glass fine powder and meta-kaolin according to various fine aggregates)

  • 정동환;박준희;안태호;박영식;소광호
    • 한국결정성장학회지
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    • 제27권3호
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    • pp.115-121
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    • 2017
  • 콘크리트는 열화요인에 의해 철근콘크리트구조물의 철근부식, 균열발생 및 구조내력저하 등 성능저하현상이 사회적 문제점으로 대두되고 있다. 특히 해수, 지하수 또는 오 폐수처리시설 및 하수도 등에 건설되는 콘크리트 구조물은 산 및 황산염에 의한 화학적 침식을 받는 경우 내구성이 크게 저하되어 대책이 필요하다. 따라서 본 연구는 폐유리 미분말과 메타카올린을 사용하여 강모래와 슬래그 잔골재를 비교하여 내황산염성 실험을 진행하였다. 평가 결과 강모래보다 슬래그 잔골재가 내황산염성이 우수하였으며, 폐유리 미분말은 3 % 치환에서 가장 우수한 성능을 발현하였다.

국내 연안 카페리 차량 고박 장치 안전성에 관한 연구: 제2부 가속도 예측 방법에 따른 고박 안전도 비교 연구 (Study on Structural Safety of Car Securing Equipment of Coastal Carferry: Part II Assessment of Lashing Safety according to Acceleration Prediction Approaches)

  • 정준모;조희상;이경훈;이영우
    • 한국해양공학회지
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    • 제30권6호
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    • pp.451-457
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    • 2016
  • For a carferry with a displacement of 1,633 tonf, a seakeeping analysis-based direct load approach (DLA) was used in Part I of these series, where the final deliverable was the long-term probabilistic acceleration components. In Part II of these series, the tangential acceleration components are explained based on two approaches: a standard called the IMO CSS code and simple formulas with the probable maximum roll and pitch rotations. The subsequent tangential acceleration-induced external force components are also introduced for these two approaches. The lashing strength components were selected from the IMO CSS code. It was assumed that two different vehicles (a car and a truck) were stowed at the most distant locations on the main deck to assume the largest tangential acceleration components and were secured with four steel wires with longitudinal and transverse lashing angles of $45^{\circ}$. Four cases were considered, with different methods for predicting the acceleration components and different tools for the external loads and lashing strengths involved: cases Rule-LS (rule-based maximum probable roll and pitch angles for predicting the acceleration components in conjunction with LashingSafety), DLA-LS (seakeeping-based long-term acceleration components with LashingSafety), CSS-LC (IMO CSS code-based acceleration components using LashCon), and CSS-LS (IMO CSS code-based acceleration components using LashingSafety). In terms of the acceleration and external force components, the CSS-LC and CSS-LS results are more than two times the results of Rule-LS. Thus, when the external forces and lashing strengths are evaluated using CSS-LC and CSS-LS, the truck needs more lashing wires, while Rule-LS and DLA-LS predict that the present lashing configuration is on the safe side.

순환잔골재를 치환한 철근콘크리트 기둥의 압축거동 특성 (Uniaxial Behavior of Reinforced Concrete Column with Recycled Fine Aggregate)

  • 장광수;김윤수;윤현도;최기선;유영찬;김긍환
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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    • pp.5-8
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    • 2008
  • 경제 발전에 따라 천연골재의 부족과 수급의 불안정으로 인하여 순환잔골재의 사용은 증가되고 있으나 순환잔골재를 사용한 구조부재에 대한 기초자료와 설계방법에 관한 연구가 미비한 실정이다. 본 연구는 순환잔골재의 치환율에 따른 철근콘크리트 기둥의 압축 거동 특성을 평가하기 위해 수행되었다. 이러한 목적에서 순환잔골재의 치환율을 변수(0%, 30%, 60%, 100%)로 하여 400mm${\times}$400mm 크기의 단면을 갖는 실물모형 기둥 실험체를 각각 제작하여 축하중하에서 실험을 진행하였다. 실험값과 현행규준(KCI2007)과의 비교 결과, 순환잔골재를 사용한 철근콘크리트 기둥의 압축 응력은 KCI2007에서 규정하고 있는 기준 압축 응력 값을 만족하는 것으로 나타나 KCI 규준식은 순환잔골재를 사용한 철근콘크리트 기둥 설계에서도 적용 가능할 것으로 판단된다.

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전단형 MR 댐퍼 및 Clipped-optimal 제어알고리즘을 이용한 사장교의 실시간 준능동 진동제어 (Real-time Semi-active Vibration Control in Cable-stayed Bridges by Shear-type MR damper and Clipped-optimal Control Algorithm)

  • 허광희;전준용;전승곤
    • 한국지진공학회논문집
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    • 제20권2호
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    • pp.113-123
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    • 2016
  • This paper is concerned with an experimental research to control of random vibration caused by external loads specially in cable-stayed bridges which tend to be structurally flexible. For the vibration control, we produced a model structure modelled on Seohae Grand Bridge, and we designed a shear type MR damper. On the center of its middle span, we placed a shear type MR damper which was to control its vibration and also acquire its structural responses such as displacement and acceleration at the same site. The experiments concerning controlling vibration were performed according to a variety of theories including un-control, passive on/off control, and clipped-optimal control. Its control performance was evaluated in terms of the absolute maximum displacements, RMS displacements, the absolute maximum accelerations, RMS accelerations, and the total power required to control the bridge which differ from each different experiment method. Among all the methods applied in this paper, clipped-optimal control method turned out to be the most effective to reduces of displacements, accelerations, and external power. Finally, It is proven that the clipped-optimal control method was effective and useful in the vibration control employing a semi-active devices such MR damper.

A simple finite element formulation for large deflection analysis of nonprismatic slender beams

  • AL-Sadder, Samir Z.;Othman, Ra'ad A.;Shatnawi, Anis S.
    • Structural Engineering and Mechanics
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    • 제24권6호
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    • pp.647-664
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    • 2006
  • In this study, an improved finite element formulation with a scheme of solution for the large deflection analysis of inextensible prismatic and nonprismatic slender beams is developed. For this purpose, a three-noded Lagrangian beam-element with two dependent degrees of freedom per node (i.e., the vertical displacement, y, and the actual slope, $dy/ds=sin{\theta}$, where s is the curved coordinate along the deflected beam) is used to derive the element stiffness matrix. The element stiffness matrix in the global xy-coordinate system is achieved by means of coordinate transformation of a highly nonlinear ($6{\times}6$) element matrix in the local sy-coordinate. Because of bending with large curvature, highly nonlinear expressions are developed within the global stiffness matrix. To achieve the solution after specifying the proper loading and boundary conditions, an iterative quasi-linearization technique with successive corrections are employed considering these nonlinear expressions to remain constant during all iterations of the solution. In order to verify the validity and the accuracy of this study, the vertical and the horizontal displacements of prismatic and nonprismatic beams subjected to various cases of loading and boundary conditions are evaluated and compared with analytic solutions and numerical results by available references and the results by ADINA, and excellent agreements were achieved. The main advantage of the present technique is that the solution is directly obtained, i.e., non-incremental approach, using few iterations (3 to 6 iterations) and without the need to split the stiffness matrix into elastic and geometric matrices.

Elastic solutions due to a time-harmonic point load in isotropic multi-layered media

  • Lin, Gao;Zhang, Pengchong;Liu, Jun;Wang, Wenyuan
    • Structural Engineering and Mechanics
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    • 제57권2호
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    • pp.327-355
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    • 2016
  • A new analytical derivation of the elastodynamic point load solutions for an isotropic multi-layered half-space is presented by means of the precise integration method (PIM) and the approach of dual vector. The time-harmonic external load is prescribed either on the external boundary or in the interior of the solid medium. Starting with the axisymmetric governing motion equations in a cylindrical coordinate system, a second order ordinary differential matrix equation can be gained by making use of the Hankel integral transform. Employing the technique of dual vector, the second order ordinary differential matrix equation can be simplified into a first-order one. The approach of PIM is implemented to obtain the solutions of the ordinary differential matrix equation in the Hankel integral transform domain. The PIM is a highly accurate algorithm to solve sets of first-order ordinary differential equations and any desired accuracy of the dynamic point load solutions can be achieved. The numerical simulation is based on algebraic matrix operation. As a result, the computational effort is reduced to a great extent and the computation is unconditionally stable. Selected numerical trials are given to validate the accuracy and applicability of the proposed approach. More examples are discussed to portray the dependence of the load-displacement response on the isotropic parameters of the multi-layered media, the depth of external load and the frequency of excitation.