• Title/Summary/Keyword: 초기변위

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Stability Analysis of Unsymmetric Tapered Thin-walled Beams (비대칭 선형 변단면을 갖는 박벽 공간 보의 안정성 해석)

  • 김성보;구봉근;한상훈;정경섭
    • Computational Structural Engineering
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    • v.11 no.4
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    • pp.197-207
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    • 1998
  • 전단변형 효과를 무시하는 경우에 비대칭 선형 변단면을 갖는 박벽 공간 보의 안정성 해석을 위한 일반이론을 유도한다. 비대칭 선형 변단면의 임의점을 통과하는 부재축과 단면의 주축의 방향과 무관하고 부재축과 직각을 이루는 두 개의 좌표축을 도입하여 직각좌표계를 정의한다. 정의된 좌표축을 기준으로 유한한 회전각의 2차항을 고려하는 변위장을 도입하여 연속체에 대한 가상일의 원리로부터 탄성변형에너지, 그리고 초기응력에 의한 포텐셜에너지를 유도한다. 이를 이용하여 비대칭 선형 변단면을 갖는 박벽 공간 보의 안정성해석을 위한 평형방정식을 제시한다. 3차 Hermitian 다항식을 변위파라미터의 형상함수로 사용하여 박벽 공간 보의 탄성강도 및 기하강도행렬을 상정할 뿐만 아니라, 단면의 좌표축에 상관없이 임의의 위치에 작용하는 하중에 대한 하중보정강도행렬(load-correction stiffness matrix)을 제시한다. 본 이론 및 방법의 타당성을 검증하기 위하여 수치해석을 수행하고 문헌의 결과 및 쉘요소를 사용한 해석결과와 비교하여 본 이론의 정당성을 입증한다.

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1m 천체 망원경의 광기계 해석

  • Park, Gwi-Jong;Jang, Jeong-Gyun;Han, In-U;Jang, Bi-Ho;Lee, Dae-Hui
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.1
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    • pp.71.2-71.2
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    • 2013
  • 1 m 천체망원경에 대한 초기 광기계 구조해석이 진행되었다. 3개의 반사경으로 구성되는 광학계는 Richey-Cretien 방식으로써 두 개의 Nasmyth 초점을 제공하고, 초점비는 F/8이다. 결정된 반사경 마운트 방법에 의해 반사경면의 표면 RMS(Root Mean Square) 변형량은 모두 20 nm보다 작다. 전체 구조물에 대한 구조해석을 수행하기 위해 솔리드, 쉘, 빔 요소 등으로 구성된 정밀유한요소 모델이 NX 소프트웨어로 설계되었다. 전체 구조물은 첫 번째 고유모드는 68 Hz에서 병진모드가 발생했다. 중력에 대해서는 최대 응력이 18.2 MPa로써 미비하였고, 전체 최대 변위는 50.3 ${\mu}m$ 로써 계산되었다. 이 변위값은 광학설계 소프트웨어에 재입력되어 광학계의 성능이 재분석 될 것이다.

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Calculation of Optimum Damping Ratio of Viscous Dampers Using Capacity Spectrum Method (능력스펙트럼법을 이용한 점성 감쇠기의 적정 감쇠비 산정)

  • 김진구;최현훈
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.1
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    • pp.45-52
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    • 2001
  • 에너지 소산장치가 설치된 건무의 비선형 시간이력해석은 복잡하고 많은 시간이 소모된다. 본 연구에서는 비선형 정적해석법인 능력 스펙트럼을 이용하여 구조물의 주어긴 거동 한계를 만족할 수 있는 감쇠기의 양을 산정하는 방법에 관하여 연구하였다. 먼저 능력스펙트럼법을 이용하여 건물의 비선형 정적응답을 구하고 건물의 응답과 목표변위의 차이를 이용하여 유효감쇠비를 구하고 이러한 유효 감쇠비를 이용하여 필용한 점성 감쇠기의 양을 구하였다. 본 연구에서는 단자 유도계에서 건물의 주기, 요구되는 탄성강도에 대한 항복강도의 비, 항복 후 강성비 등을 변수로 하여 연구를 수행하였다. 제안된 방법에 따라 설계된 점성 감쇠기를 설치한 예제 구조물의 시간이력 해석에 의한 최대 응답은 설계의 초기단계에서 사용한 목표변위와 잘 일치하였다.

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Effect of Dampers on Preventing Progressive Collapse in Steel Frames (감쇠기가 철골조 건물의 연쇄붕괴 방지에 미치는 효과)

  • Lee, Seung-Jun;Choi, Hyun-Hoon;Kim, Jin-Koo;Huynh, Chanh Trung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.154-157
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    • 2010
  • 본 논문에서는 비선형 동적해석법을 이용하여 감쇠기의 적용이 철골조 건물의 연쇄붕괴 방지에 미치는 영향을 평가하였다. 단자유도 구조물에서 감쇠비의 변화에 따라 폭발하중이 구조물의 응답에 미치는 영향을 분석하였고, 15층 3경간 철골조 건물에서는 일정한 감쇠비 하에서 경간을 6m, 9m, 12m로 달리 하면서 감쇠기 설치 효과를 비교하였다. 단자유도 시스템의 경우 감쇠비가 증가 할수록 폭발하중에 의한 진동이 빠르게 감소하고 변위의 감소폭도 커지는 경향을 보였다. 15층 철골조 건물에서도 역시 감쇠기를 설치할 경우 수직 처짐 및 초기 진동을 제어하는 효과가 있었다. 구조물의 경간이 증가하여 수직 변위가 증가 할수록, 감쇠기에 의해 소산된 에너지도 증가하기 때문에 수직 처짐 제어효과가 큰 것으로 나타났다.

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3-Dimensional Tunnel Analyses for the Prediction of Fault Zones (파쇄대 예측을 위한 터널의 3차원 수치해석)

  • 이인모;김돈희;이석원;박영진;안형준
    • Journal of the Korean Geotechnical Society
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    • v.15 no.4
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    • pp.99-112
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    • 1999
  • When there exists a fault zone ahead of the tunnel face and a tunnel is excavated without perceiving its existence, it will cause stress concentration in the region between the tunnel face and the fault zone because of the influence of the fault zone on the arching phenomena. Because the underground structure has many unreliable factors in the design stage, the prediction of a fault zone ahead of the tunnel face by monitoring plans during tunnel construction and the rapid establishment of appropriate support system are required for more economical and safer tunnel construction. Recent study shows that longitudinal displacement changes during excavation due to the change of rock property, and if longitudinal displacement and settlement, which are measured in the field, are considered together in displacement analysis, the prediction of change in rock mass property is possible. This study provided the method for the prediction of fault zones by analyzing the changes of L/C and (Ll-Lr)/C ratio (L= longitudinal displacement at crown, C = settlement at crown, Ll = longitudinal displacement at left sidewall, Lr = longitudinal displacement at right sidewall) and the stereographic projection of displacement vectors which were obtained from the 3-D numerical analysis of hybrid method in various initial stress conditions.

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Resistance Curves of Propagating Cracks for Concrete Three-Point Bend Specimens (콘크리트 삼점 휨시험편의 성장하는 균열에 대한 저항곡선)

  • 연정흠
    • Journal of the Korea Concrete Institute
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    • v.13 no.6
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    • pp.568-574
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    • 2001
  • From measured responses of concrete three-point bend tests, the average values of the responses have been calculated. The fracture behavior of continuously propagating concrete crack has been analyzed from the average responses. The experimental parameters of this study were the initial notch sizes of 25.4㎜ and 6.4 ㎜ and the processing times of 2,000 sec. and 20 sec . The different notch sizes were used for the effects of the size of fracture process zone and specimen geometry, and the processing times for those of initial creep. However the load-point displacement rate in this study did not affect the experimental responses seriously. The average loads were calculated from the average external work of a series of tests, and average crack lengths were determined by using strain gages. Before the peak load, the resistance curve could be determined from the size of fracture process zone, but unstable crack propagation of 88㎜ occurred at the load-point displacement of 0.088∼0.154㎜ after the peak load. The average fracture energy density G$\_$F/$\^$ave/ = 115 N/m occurred during the unstable crack propagation. The fracture process zones were fully developed at the crack length of 111㎜, and the sizes of fracture process zone for initial notches of 25.4㎜ and 6.4㎜ were 86㎜ and 105㎜, respectively. Average fracture energy densities of the resistance curves after full development of fracture process zone were 229 N/m for the initial notch of 25.4㎜ and 284 N/m for 6.4㎜. The values were more than twice of G$\_$F/$\^$ave/.

A numerical study for initial elastic displacement at tunnel side-wall due to configuration of the tunnel excavation (굴착단면 형상에 따른 터널 초기탄성변위의 수치해석적 연구)

  • Kim, Sang-Hwan;Jung, Hyuk-Il;Lee, Min-Sang
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.4 no.3
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    • pp.175-184
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    • 2002
  • Ground reaction curve is very useful information for estimating the installation time of the tunnel support. The ground reaction curve can be estimated by analytical closed form solutions derived in case of circular section and isotropic stress condition. The nature of the ground reaction, however, depends significantly on tunnel configurations. Nevertheless, few purely analytical and experimental studies of this problem due to tunnel configurations appear to have been carried out. Therefore, it is necessary to investigate the influence of tunnel configurations in order to use simply in practical design. This paper describes a numerical study for the intial elastic displacement in the ground reaction curve due to configuration of tunnel excavation. In order to evaluate the applicability of analytical closed form solution in practical design, the parametric studies were carried out by numerical analysis in elastic tunnel behaviour. In the studies, S value, namely configuration factor, defined as the ratio between tunnel height (b) and width (a), varies between 0.5 and 3.0, initial ground vertical stress varies between 5~30 MPa for each S values. The results indicated that the self-supportability of ground is larger in the ground having low S value. It, however, is suggested that the applicability of closed form solution may not be adequate to determine directly the installation time of the support and self-supportability of ground. It should be necessary to perform the additional numerical analysis.

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Static Behavior of Concrete-Filled and Tied Steel Tubular Arch(CFTA) Girder (CFTA거더의 정적 거동연구)

  • Kim, Jong-In;Kim, Doo-kie;Lee, Jang-hyeong;Kim, Jeong-Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.13 no.3 s.55
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    • pp.225-231
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    • 2009
  • This study introduces the CFTA girder(Concrete-Filled and Tied Steel Tubular Arch Girder) which is a combined structural system of traditional CFT, arch, and prestress structures. Static load tests and structural behavior analyses were carried out for a 25m long CFTA girder. In the analysis, each load of 58kN, 88kN, 148kN, 207kN,and 298kN was applied incrementally at the positions of 1.0 m distances in both directions from the center of the girder. On each test, strain and displacement were measured. Linear static FEM analyses using Strand7 code were also performed to check the structural stability and to investigate the effects of prestressing(${\pm}$20%) and material property(Young's modulus) on the displacement and strain. The results of this study are summarized as follows: the initial strain & displacement under selfweight and prestressing were influenced with the variation of prestressing, but they were mainly effected only by Young's modulus when additional loads were applied.

Displacement Characteristics of Soft Ground by Embankment Construction (제방축조에 의한 연약지반의 변위특성)

  • Ahn, Kwangkuk;Bae, Wooseok
    • Journal of the Korean GEO-environmental Society
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    • v.8 no.2
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    • pp.29-39
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    • 2007
  • In this study, the centrifugal tests were fulfilled to analyze the displacement characteristics caused by the embankment construction on soft ground. Embankment of height, undrained shear strength and with or without geotextile were selected to evaluate the displacement characteristics of soft ground by embankment. As a result, the replacement section without geotextile showed the parabola shape. The replacement section with geotextile showed the trapezoidal shape which represents the uniform settlements. The replacement angle is increasing nearly lineally with increasing the height of embankment and G-level. The position, where the maximum horizontal displacement occurred, was between $0.24H_0$ and $0.35H_0$ and was at $0.3H_0$ on the average. In the case of with and without geotextile, the relationship between the maximum settlement of ground(S) and maximum horizontal displacement(${\delta}_m$) was ${\delta}_m$ = 0.60S, ${\delta}_m$ = 0.54S, respectively.

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Simplified Static Analysis of Superstructure on Very Large Floating Structures subjected to Wave Loads (파랑하중을 받는 초대형 부유식 구조물 상부구조체의 실용정적해석법)

  • Song, Hwa-Cheol;Park, Hyo-Seon;Seo, Ji-Hyun
    • Journal of Navigation and Port Research
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    • v.27 no.5
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    • pp.519-526
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    • 2003
  • For preliminary structural analysis of superstructures on very large floating structures(VLFS), superstructures are analyzed considering elastic deformations of barge type lower-structures subjected to wave loads. In this case, to consider the effect of wave loads on the superstructure, initial displacements at the support points of superstructures are evaluated as input data for the analysis. However, the evaluation and application of displacement loads are tedious and very time-consuming processes. Therefore, this paper proposes a simplified static analysis method to analyze the structural behaviors of superstructures on very large floating structures subjected to wave loads. In this study, the member forces due to the variation of beam span and the amplitude and period of wave load are analyzed by using an example 4 span -3 story structure and the amplification factors for beam moments are represented by the specific regression equation.