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Analysis of torsional-bending FGM beam by 3D Saint-Venant refined beam theory

  • Guendouz, Ilies;Khebizi, Mourad;Guenfoud, Hamza;Guenfoud, Mohamed;El Fatmi, Rached
    • Structural Engineering and Mechanics
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    • 제84권3호
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    • pp.423-435
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    • 2022
  • In this article, we present torsion-bending analysis of a composite FGM beam with an open section, according to the advanced and refined theory of 1D / 3D beams based on the 3D Saint-Venant's solution and taking into account the edge effects. The (initially one-dimensional) model contains a set of three-dimensional (3D) displacement modes of the cross section, reflecting its 3D mechanical behaviour. The modes are taken into account depending on the mechanical characteristics and the geometrical form of the cross-section of the composite FGM beam. The model considered is implemented on the CSB (Cross-Section and Beam Analysis) software package. It is based on the RBT/SV theory (Refined Beam Theory on Saint-Venant principle) of FGM beams. The mechanical and physical characteristics of the FGM beam continuously vary, depending on a power-law distribution, across the thickness of the beam. We compare the numerical results obtained by the three-beam theories, namely: The Classical Beam Theory of Saint-Venant (Classical Beam Theory CBT), the theory of refined beams (Refined Beam Theory RBT), and the theory of refined beams, using the higher (high) modes of distortion of the cross-section (Refined Beam Theory using distorted modes RBTd). The results obtained confirm a clear difference between those obtained by the three models at the level of the supports. Further from the support, the results of RBT and RBTd are of the same order, whereas those of CBT remains far from those of higher-order theories. The 3D stresses, strains and displacements, obtained by the present study, reflect the 3D behaviour of FGM beams well, despite the initially 1D nature of the problem. A validation example also shows a very good agreement of the proposed models with other models (classical or higher-order beam theory) and Carrera Unified Formulation 1D-beam model with Lagrange Expansion functions (CUF-LE).

열린 단면 부재의 굽힘 붕괴 실험 및 해석에 관한 연구 (A Study on the Bending Collapse at the Open Cross-Section Members with Experiment and Analysis)

  • 이승철;강신유
    • 한국정밀공학회지
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    • 제21권4호
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    • pp.132-139
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    • 2004
  • The open section members have been used as the members of vehicle such as automotives, airplanes and trains. When vehicles are crashed, these members have absorption of the energy and it is necessary for retainment of the survival space, and as the result, the prediction for the displacement of members in this case of the crash of vehicles is very important. The displacements of members in this case of the crash of automotives show combined aspect of both axial collapse and bending collapse. In the rollover accident when bending collapse happen, the collapse of each members is progressed by the plastic hinge which made from bending moment, and therefore the research for the behavior of members under bending moment after collapse is necessary to determine the internal energy which the members can absorb and the deformed shapes of the members on the step of design. In this paper, the characteristics of bending collapse at the members of the open cross-section were studied with experiment and numerical analysis. We made a comparative studied of the result of the experiment, and changed the axis according to the parallel-axis theorem.

가변 벌점함수 유전알고리즘을 이용한 금형가공센터 고속이송체 구조물의 최적설계 (Design Optimization of a Rapid Moving Body Structure for a Machining Center Using G.A. with Variable Penalty Function)

  • 최영휴;차상민;김태형;박보선;최원선
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2003년도 춘계학술대회 논문집
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    • pp.504-509
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    • 2003
  • In this paper, a multi-step optimization using a G.A.(Genetic Algorithm) with variable penalty function is introduced to the structural design optimization of a high speed machining center. The design problem, in this case, is to find out the best cross-section shapes and dimensions of structural members which minimize the static compliance, the dynamic compliance, and the weight of the machine structure simultaneously. The first step is the cross-section shape optimization, in which only the section members are selected to survive whose cross-section area have above a critical value. The second step is a static design optimization, in which the static compliance and the weight of the machine structure are minimized under some dimensional constraints and deflection limits. The third step is a dynamic design optimization, where the dynamic compliance and the structure weight are minimized under the same constraints as those of the second step. The proposed design optimization method was successful applied to the machining center structural design optimization. As a result, static and dynamic compliances were reduced to 16% and 53% respectively from the initial design, while the weight of the structure are also reduced slightly.

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단순변형율 조건 하의 회전하는 가변단면 $90^{\circ}$ 곡덕트 내 내향 난류유동 측정 (Measurement of Inward Turbulent Flows Subject to Plane Rate of Strain in a Rotating 90 Deg. Curved Duct of Variable Cross-Section)

  • 김동철;최영돈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집B
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    • pp.765-770
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    • 2000
  • Hot-wire measurements are reported on the developing turbulent flows subject to plane rate of strain in a rotating $90^{\circ}$ dog bend. The cross-section of the bend varies from $100mm{\times}50mm$ rectangular shape at the bend inlet gradually to the $50mm{\times}100mm$ shape at the bend outlet with remaining a constant area. Data signals from the rotating test section are transmitted through a slip ring to the personal computer which is located at the outside of the rotating disc. 3-dimensional velocity and 6 Reynolds stress components were calculated from the equations which correlate the fluctuating and mean voltage values measured with rotating a slant type hot-wire into 6 orientations. The effects of Coriolis and centrifugal forces on the mean motions and turbulence structures are investigated with respect to rotational speed.

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최소단면 보수지역의 평탄성 평가 (Evaluation of Pavement Smoothness on Optimized Rehabilitated Section)

  • 박대욱;진정훈
    • 한국도로학회논문집
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    • 제12권2호
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    • pp.123-127
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    • 2010
  • 본 논문에서는 최소단면 보수가 완료된 아스팔트 콘크리트 포장의 평탄성 평가를 위하여 경량 프로파일러를 이용하여 측정하였으며 평탄성 분석을 실시하였다. 측정 프로파일러의 정확도를 검토하기 위하여 2회 측정한 프로파일을 이용하여 반복성(repeatability) 검증을 수행하였다. Cross-Corelation 함수를 이용하여 측정치간의 일치를 검증하였다. 최소단면 보수가 이루어진 아스팔트 콘크리트 포장 부분과 기존 포장의 평탄성을 국제평탄성지수와 PrI 지수를 비교 분석하였으며, 최소단면 보수가 이루어진 차선의 평탄성이 대체적으로 좋지 않았다. 향후 최소단면 보수 지역의 평탄성 평가에 대한 기초자료로 사용할 수 있다고 판단된다.

고속전철 PSC 박스거더교 합성거동의 현장 계측에 관한 연구 (Field Investigation of Composite Behavior in High-speed Railway PSC Box Girder Bridge)

  • 김영진;김병석;강재윤
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2000년도 가을 학술발표회 논문집(II)
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    • pp.995-1000
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    • 2000
  • Segmentally erected prestressed concrete box girder bridges have been widely used in Korean high speed railway. Segmental erection has been accomplished along the longitudinal direction and across the depth of cross section. The cross section is similar to a composite cross section, composed of old and new segments. Because these segments have different time-dependent creep and shrinkage properties, a stress redistribution takes place during the construction period. It is the main objective in this research to investigate this behavior. An actual bridge was instrumented with 96 vibrating wire embedded type strain gauges, 6 electronic type steel strain gauges, and 75 thermocouples. Two span continuous high speed railway bridge was selected. Two points of importance, such as the midpoint of the first span and the point of interior support, along the span of the girder were chosen to monitor the time dependent behaviors for an extended period of time. The data collection was starting just after concrete girder were cast and is still going on. According to the measured results, the strain distributions across the depth of the section at midspan and interior support were not continuous and the important redistribution of stresses takes place. Thus, rational design of prestressed concrete composite box girder bridges need.

단순변형률 조건 하의 회전하는 가변단면 $90^{\circ}$ 곡덕트내 외향 난류유동 측정 (Measurement of Outward Turbulent Flows Subject to Plane Rate of Strain in a Rotating 90 Deg. Curved Duct of Variable Cross-Section)

  • 오창민;최영돈
    • 대한기계학회논문집B
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    • 제24권5호
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    • pp.623-631
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    • 2000
  • Hot-wire measurements were carried out on the developing turbulent flows subject to plane rate of strain in a rotating curved duct. The cross-section of the curved duct varies from 100mm${\times}$50mm rectangular shape at the bend inlet gradually to the 50mm${\times}$100mm rectangular shape at the bend outlet. Experimental setup consists of the test section of $90^{\circ}$ curved duct, rotating disc of 1.95m diameter, Ag-Ni precision slip ring, automatic traversing mechanism, variable speed motor, centrifugal blower, orifice flowmeter and hot-wire anemometer. Data signals from the rotating curved duct are transmitted through the slip ring to the computer which is located at the outside of the rotating disc. 3-dimensional velocity and 6 Reynold stresses components were obtained from the fluctuating and mean voltage measured by the slant type hot-wire probe rotating into 6 orientations. We investigate the effects of Coriolis and centrifugal forces on the turbulence structure.

의궤에 기록된 건축도(建築圖) 물매(勿每, 水每)에 관한 연구 - 단면도로서의 가능성을 중심으로 - (A Study on the Mulmae, Architectural Drawing Recorded on Uigwes - Focusing on the Possibility as a Cross-sectional Drawing -)

  • 이상명
    • 건축역사연구
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    • 제29권6호
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    • pp.57-65
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    • 2020
  • This study covered the Mulmae, architectural drawing recorded on Yeonggeon-uigwes and Sanleung-uigwes during the late Joseon Dynasty. In uigwes, the term 'Mulmae' was used as a mixture until the 17th century, but from the 18th century, the term 'Mulmae(勿乙每, 勿每, 水每)' was unified into 'Mulmae(水每)'. The paper of the Mulmae was made to be used during the construction period by using a thick oil paper called Yudun. Four Yudun were connected, and its size was 197.4×141cm, which was rather large. The Yingzaofashi(營造法式) of Song Dynasty describes how to draw a longitudinal section on a scale of 1/10. The scale of 1/10 was the maximum when comparing the size of the Mulmae with the buildings in uigwes. A sectional drawing of Gongpo in Geunjeongjeon was drawn on a scale of 1/10. There is a testimony that a senior carpenter drew a cross-section on a scale of 1/10. Therefore, it was determined that the scale of the longitudinal section drawn on the Mulmae paper was 1/10. The term 'the Mulmae' was used equally by carpenter active in Japanese colonial era. The scope of the painting was clarified from pillar to rafter. Uigwes records that the Mulmae was made for wood processing. Through this, it can be understood that the Mulmae painted the entire structure as a longitudinal section.

Characteristics, mathematical modeling and conditional simulation of cross-wind layer forces on square section high-rise buildings

  • Ailin, Zhang;Shi, Zhang;Xiaoda, Xu;Yi, Hui;Giuseppe, Piccardo
    • Wind and Structures
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    • 제35권6호
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    • pp.369-383
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    • 2022
  • Wind tunnel experiment was carried out to study the cross-wind layer forces on a square cross-section building model using a synchronous multi-pressure sensing system. The stationarity of measured wind loadings are firstly examined, revealing the non-stationary feature of cross-wind forces. By converting the measured non-stationary wind forces into an energetically equivalent stationary process, the characteristics of local wind forces are studied, such as power spectrum density and spanwise coherence function. Mathematical models to describe properties of cross-wind forces at different layers are thus established. Then, a conditional simulation method, which is able to ex-tend pressure measurements starting from experimentally measured points, is proposed for the cross-wind loading. The method can reproduce the non-stationary cross-wind force by simulating a stationary process and the corresponding time varying amplitudes independently; in this way the non-stationary wind forces can finally be obtained by combining the two parts together. The feasibility and reliability of the proposed method is highlighted by an ex-ample of across wind loading simulation, based on the experimental results analyzed in the first part of the paper.

단일 현장타설말뚝의 변단면 분석을 통한 최적 기둥-말뚝 직경비 제안 (Proposed Optimized Column-pile Diameter Ratio with Varying Cross-section for Bent Pile Structures)

  • 김재영;정상섬;안상용
    • 대한토목학회논문집
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    • 제33권5호
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    • pp.1935-1946
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    • 2013
  • 본 연구에서는 변단면 단일 현장타설말뚝의 거동 특성을 평가하고자 현장재하시험 사례를 분석하였으며, 또한 3차원 유한요소해석을 이용하여 말뚝 내부에서 발생하는 응력을 통해 심도별 휨응력을 산정하였다. 분석 결과, 단일 현장타설말뚝의 변단면 부근에서 휨응력이 집중되어 재료파괴가 발생하기 가장 쉬운 것을 알 수 있었다. 이를 토대로, 단일 현장타설말뚝의 기둥-말뚝 직경비와 수평 균열하중비 관계를 통해 최적의 기둥-말뚝 직경비를 제안하였다. 연구 결과, 최적의 기둥-말뚝 직경비는 기둥-말뚝 직경비와 수평 균열하중비 관계 곡선의 변곡점 부근에서 산정되었으며, 단일 현장타설말뚝 설계에 최적 변단면 특성을 고려한다면 개선된 설계가 이루어질 수 있을 것으로 판단되었다.