• 제목/요약/키워드: Two-Dimensional Beam

검색결과 567건 처리시간 0.024초

Numerical Study of AGN Jet Propagation with Two Dimensional Relativistic Hydrodynamic Code

  • MIZUTA AKIRA;YAMADA SHOICHI;TAKABE HIDEAKI
    • 천문학회지
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    • 제34권4호
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    • pp.329-331
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    • 2001
  • We investigate the morphology of Active Galactic Nuclei(AGN) jets. AGN jets propagate over kpc $\~$ Mpc and their beam velocities are close to the speed of light. The reason why many jets propagate over so long a distance and sustain a very collimated structure is not well understood. It is argued that some dimensionless parameters, the density and the pressure ratio of the jet beam and the ambient gas, the Mach number of the beam, and relative speed of the beam compared to the speed of light, are very useful to understand the morphology of jets namely, bow shocks, cocoons, nodes etc. The role of each parameters has been studied by numerical simulations. But more research is necessary to understand it systematically. We have developed 2D relativistic hydrodynamic code to analyze relativistic jets. We pay attention to the propagation velocity which is derived from 1D momentum balance in the frame of the working surface. We show some of our models and discuss the dependence of the morphology of jets on the parameter.

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A fiber beam element model for elastic-plastic analysis of girders with shear lag effects

  • Yan, Wu-Tong;Han, Bing;Zhu, Li;Jiao, Yu-Ying;Xie, Hui-Bing
    • Steel and Composite Structures
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    • 제32권5호
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    • pp.657-670
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    • 2019
  • This paper proposes a one-dimensional fiber beam element model taking account of materially non-linear behavior, benefiting the highly efficient elastic-plastic analysis of girders with shear-lag effects. Based on the displacement-based fiber beam-column element, two additional degrees of freedom (DOFs) are added into the proposed model to consider the shear-lag warping deformations of the slabs. The new finite element (FE) formulations of the tangent stiffness matrix and resisting force vector are deduced with the variational principle of the minimum potential energy. Then the proposed element is implemented in the OpenSees computational framework as a newly developed element, and the full Newton iteration method is adopted for an iterative solution. The typical materially non-linear behaviors, including the cracking and crushing of concrete, as well as the plasticity of the reinforcement and steel girder, are all considered in the model. The proposed model is applied to several test cases under elastic or plastic loading states and compared with the solutions of theoretical models, tests, and shell/solid refined FE models. The results of these comparisons indicate the accuracy and applicability of the proposed model for the analysis of both concrete box girders and steel-concrete composite girders, under either elastic or plastic states.

External retrofit of beam-column joints in old fashioned RC structures

  • Adibi, Mahdi;Marefat, Mohammad S.;Arani, Kamyar Karbasi;Zare, Hamid
    • Earthquakes and Structures
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    • 제12권2호
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    • pp.237-250
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    • 2017
  • There has been increasing attention in many countries on seismic retrofit of old fashioned RC structures in recent years. In such buildings, the joints lack transverse reinforcement and suffer inadequate seismic dimensional requirements and the reinforcement is plain bar. The behavior of the joints is governed by sliding of steel bars and diagonal shear failure is less influential. Different methods to retrofit beam-column joints have been proposed in the literature such as wrapping the joint by FRP sheets, enlargement of the beam-column joint, and strengthening the joint by steel sheets. In this study, an enlargement technique that uses external prestressed cross ties with steel angles is examined. The technique has already been used for substructures reinforced by deformed bars and has advantages such as efficient enhancement of seismic capacity and lack of damage to the joint. Three reference specimens and two retrofitted units are tested under increasing lateral cyclic load in combination with two levels of axial load. The reference specimens showed relatively low shear strength of 0.150${\surd}$($f_c$) and 0.30${\surd}$($f_c$) for the exterior and interior joints, respectively. In addition, relatively brittle behavior was observed and large deformations extended into the panel zone of the joints. The retrofit method has increased ductility ratio of the interior beam-column joints by 63%, and energy dissipation capacity by 77%, relative to the control specimen; For external joints, these values were 11%, and 94%. The retrofit method has successfully relocated the plastic joints far from the column face. The retrofit method has improved shear strength of the joints by less than 10%.

Isoparametric 곡선(曲線) 보요소(要素)를 이용한 평면(平面)뼈대 구조물(構造物)의 대변형(大變形) 및 탄소성(彈塑性) 유한요소해석(有限要素解析) (Large Deflection and Elastoplastic Analysis of the Plane Framed Structure Using Isoparametric Curved Beam Element)

  • 김문영;신현목;이창용
    • 대한토목학회논문집
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    • 제13권2호
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    • pp.41-49
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    • 1993
  • 2차원 곡선보요소를 이용하여 대변형효과 및 탄소성거동을 고려한 유한요소법을 제시한다. Total Lagrangian 방법을 적용하며, 보요소는 평면응력요소로부터 유도된다. 또한, 임의의 단면을 갖는 평면뼈대 구조의 탄소성 해석을 수행하기 위하여 layered approach를 사용한다. 비선형 유한요소해석은 하중증분 또는 변위증분법을 적용한다. 본 연구에서 제안한 보요소의 거동과 정확도를 검증하기 위하여, 다른 문헌의 결과와 본 연구의 결과를 비교 분석한 해석예제를 제시한다.

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Investigation of the mechanical behavior of functionally graded sandwich thick beams

  • Mouaici, Fethi;Bouadi, Abed;Bendaida, Mohamed;Draiche, Kada;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdelouahed;Ghazwani, Mofareh Hassan;Alnujaie, Ali
    • Steel and Composite Structures
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    • 제44권5호
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    • pp.721-740
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    • 2022
  • In this paper, an accurate kinematic model has been developed to study the mechanical response of functionally graded (FG) sandwich beams, mainly covering the bending, buckling and free vibration problems. The studied structure with homogeneous hardcore and softcore is considered to be simply supported in the edges. The present model uses a new refined shear deformation beam theory (RSDBT) in which the displacement field is improved over the other existing high-order shear deformation beam theories (HSDBTs). The present model provides good accuracy and considers a nonlinear transverse shear deformation shape function, since it is constructed with only two unknown variables as the Euler-Bernoulli beam theory but complies with the shear stress-free boundary conditions on the upper and lower surfaces of the beam without employing shear correction factors. The sandwich beams are composed of two FG skins and a homogeneous core wherein the material properties of the skins are assumed to vary gradually and continuously in the thickness direction according to the power-law distribution of volume fraction of the constituents. The governing equations are drawn by implementing Hamilton's principle and solved by means of the Navier's technique. Numerical computations in the non-dimensional terms of transverse displacement, stresses, critical buckling load and natural frequencies obtained by using the proposed model are compared with those predicted by other beam theories to confirm the performance of the proposed theory and to verify the accuracy of the kinematic model.

Non-linear analysis of pile groups subjected to lateral loads using 'p-y' curve

  • Chore, H.S.;Ingle, R.K.;Sawant, V.A.
    • Interaction and multiscale mechanics
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    • 제5권1호
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    • pp.57-73
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    • 2012
  • The paper presents the analysis of two groups of piles subjected to lateral loads incorporating the non-linear behaviour of soil. The finite element method is adopted for carrying out the parametric study of the pile groups. The pile is idealized as a one dimensional beam element, the pile cap as two dimensional plate elements and the soil as non-linear elastic springs using the p-y curves developed by Georgiadis et al. (1992). Two groups of piles, embedded in a cohesive soil, involving two and three piles in series and parallel arrangement thereof are considered. The response of the pile groups is found to be significantly affected by the parameters such as the spacing between the piles, the number of piles in a group and the orientation of the lateral load. The non-linear response of the system is, further, compared with the one by Chore et al. (2012) obtained by the analysis of a system to the present one, except that the soil is assumed to be linear elastic. From the comparison, it is observed that the non-linearity of soil is found to increase the top displacement of the pile group in the range of 66.4%-145.6%, while decreasing the fixed moments in the range of 2% to 20% and the positive moments in the range of 54% to 57%.

스펙트럴요소법을 이용한 동적집중하중을 받는 평판의 진동해석 (Vibration analysis of the plates subject to dynamic concentrated loads by using spectral element method)

  • 이준근;이우식
    • 대한기계학회논문집A
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    • 제22권3호
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    • pp.635-643
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    • 1998
  • A spectral element method(SEM) is introduced for the vibration analysis of a rectangular plate subject to dynamic concentrated loads. First, the spectral plate element is derived from the relations between the forces and displacements along the two opposite edges of plate element. The global spectral matrix equation is then formulated by assembling two spectral plate elements so that the dynamic concentrated load is located at the connection nodal line between two plate elements. the concentrated load is then spatially Fourier transformed in the direction of the connection nodal line to transform the two-dimensional plate problem into a simplified equivalent one-dimensional beam-like problem. We may benefit from these procedures in that the spectral results from the present SEM is compared with the exact analytical solutions to prove the remarkable accuracy of the present SEM, while this is not true for conventional finite element solutions, especially at high frequency.

Interactive analysis of a building fame resting on pile foundation

  • Chore, H.S.
    • Coupled systems mechanics
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    • 제3권4호
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    • pp.367-384
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    • 2014
  • The study deals with the physical modeling of a typical single storeyed building frame resting on pile foundation and embedded in cohesive soil mass using the finite element based software SAP-IV. Two groups of piles comprising two and three piles, with series and parallel arrangement thereof, are considered. The slab provided at top and bottom of the frame along with the pile cap is idealized as four noded and two dimensional thin shell elements. The beams and columns of the frame, and piles are modeled using two noded one dimensional beam-column element. The soil is modeled using closely spaced discrete linear springs. A parametric study is carried out to investigate the effect of various parameters of the pile foundation, such as spacing in a group and number of piles in a group, on the response of superstructure. The response considered includes the displacement at the top of the frame and bending moment in columns. The soil-structure interaction effect is found to increase the displacement in the range of 38 -133% and to increase the absolute maximum positive and negative moments in the column in the range of 2-12% and 2-11%. The effect of the soil- structure interaction is observed to be significant for the type of foundation and soil considered in this study. The results obtained are compared further with those of Chore et al. (2010), wherein different idealizations were used for modeling the superstructure frame and sub-structure elements (foundation). While fair agreement is observed in the results in either study, the trend of the results obtained in both studies is also same.

도로설계 평가를 위한 3차원 시뮬레이션 적용 (Application of Simulation for Road Design Evaluation)

  • 김가야;정범석;김남석
    • 한국지리정보학회지
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    • 제11권2호
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    • pp.121-131
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    • 2008
  • 2차원적인 도로설계는 설계기준과 운전자의 반응 사이에는 상이한 점이 많아 위험성을 내포하고 있다. 따라서 2차원 도로설계는 시공전에 예측을 하기가 어려운 실정이다. 그러나, 3차원 도로설계는 요구되는 구성요소의 완성 이후 발생하는 문제를 예측할 수 있다. 본 연구에서는, 실제도로에서 도로설계평가를 위하여 설계를 하였다. 그리고 도로설계는 Inroad를 라는 도로설계프로그램을 사용하였다. 또한, 수치지형도와 포고자료를 이용하여 DTM을 생성하였다. 3차원 도로설계는 도로의 DTM 과 지형자료를 합성하여 설계를 하였다. 3차원적으로 도로설계된 것을 이용하여 설계평가를 수행하였다. 도로선형의 안정성 평가를 위하여 운전자 시뮬레이션과 시거분석을 실시하였다. 그리고, 음영시뮬레이션을 통해 도로노면결빙구간의 불량구간을 추출하였다. 시뮬레이션 결과, 본 연구에서는 도로완공후의 모습을 확인할 수 있었다. 그리고 시거를 시각적으로 산정을 할 수 있었다. 또한 음영 시물레이션을 의해 도로노면결빙구간을 추출하였다.

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캔틸레버보의 형상비에 따른 1차원 보와 2차원 평면응력 유한요소해석 결과의 비교 (Comparison between Numerical Results of 1D Beam and 2D Plane Stress Finite Element Analyses Considering Aspect Ratio of Cantilever Beams)

  • 강유진;심지수;조해성;신상준
    • 한국전산구조공학회논문집
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    • 제28권5호
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    • pp.459-465
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    • 2015
  • 항공기는 목적에 따라서 민간 항공기, 무인항공기, 전투기, 헬리콥터 등 다양한 항공기가 존재한다. 이 각각의 항공기는 특정한 목적에 맞게 형상 및 설계가 된다. 특히 항공기 개발과정에서 중요한 해석과정 중 하나가 구조해석이다. 하지만 항공기 구조가 복잡해지고 3차원 모델로 구조해석을 하게 되면 시간과 비용이 크게 증가하게 된다. 따라서 해석 효율성을 위해서 1차원 등가 보나 2차원 평면 응력 조건을 이용하여 실제 구조를 보다 간단하게 모델링한다. 하지만 이런 모델링은 실제 구조와 차이가 있으므로 실제 구조를 잘 반영할 수 있는 적절한 모델링이 필요하다. 따라서 구조형태에 따라서 1차원 등가 보와 2차원 평면응력 조건을 적절하게 선택하여야 한다. 본 논문에서는 EDISON에 업로드 된 구조해석 프로그램을 이용하여 1차원 구조해석과 2차원 구조해석을 검증하고 구조형태에 따라서 1차원 해석과 2차원 해석을 각각 3차원 MSC NASTRAN 구조해석과 비교하여 적절한 해석방법을 찾고자 한다. 비교결과 길이 대 높이 비가 증가할수록 1차원 해석과 3차원 해석의 오차가 급격히 줄어들었으며 이 비율이 18보다 증가하였을 때는 1차원 해석이 2차원 해석보다 3차원 해석의 결과와 일치하였다.