• Title/Summary/Keyword: 아치구조물

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Design Sensitivity Analysis and Optimization of Plane Arch Structures Using Variational Formulation (변분공식화를 이용한 2차원 아치 구조물의 설계민감도 해석 및 최적설계)

  • 최주호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.2
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    • pp.159-171
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    • 2001
  • 평면 아치 구조물에 대해 선형 탄성 변분방정식에 기반을 둔 설계민감도 해석을 위한 일반적 이론을 개발하였다. 아치 구조물내의 임의 마디에 정의된 응력범함수를 고려하였고 이에 대한 설계민감도 공식을 유도하기 위해 전미분(material derivative) 개념과 보조(adjoint) 변수 방법을 도입하였다. 얻어진 민감도 공식은 구조해석 결과를 얻고 나면 이들로부터 단순 대수연산을 통해 계산이 되므로 적용이 간편할 뿐 아니라 해의 정확도가 높은 잇점이 있다. 본 방법은 아치의 형상을 매개변수를 통해 표현하므로 얕은 아치에 국한하지 않고 어떠한 형상도 고려가 가능하며, 나아가서 아치의 형상변화를 형상에 대해 수직뿐 아니라 접선방향도 포함하여 일반적으로 고려하므로 다양한 형상설계가 가능하다. 몇 가지 예제에서 민감도 계산을 수행함으로써 본 방법의 정확도와 효율성을 입증하였으며, 두 가지의 설계최적화 문제를 대상으로 실제로 두께 및 형상최적설계를 수행하였다.

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Dynamic Analysis of MABB(Multiple Arches Bowstring Bridge) and Single Arch Subjected to Moving Loads (이동하중을 받는 다중아치와 일반아치의 동적거동 분석)

  • Yhim, Sung Soon;Kim, Dong Yong;Son, Suk Ho;Kong, Min Sik
    • Journal of Korean Society of Steel Construction
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    • v.17 no.5 s.78
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    • pp.537-547
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    • 2005
  • MABB(Editor's note: Please spell out "MABB" upon first mention)is a new structural type of arch that connects arch ribs and stiffened girders with two internal arches. In this study, the static and dynamic behavior of MABB were analyzed in comparison with those of conventional arches for the investigation of the structural effect of MABB on moving loads. For the purpose of surveying the effect of internal arches on the dynamic behavior of structure, natural frequency and natural vibration mode were investigated and the static and dynamic behavior were analyzed by the method of idealizing train loads as traveling loads consisting of a group of concentrated loads. From the results, the following conclusions were known. First, it is concluded that with MABB, decreasing the section of stiffened girders is possible as compared with conventional arches because the increase of stiffness by internal arches is larger than that of the mass of internal arches. Second, MABB has the advantage of assurance of stability of dynamic behavior because the dynamic behavior of MABB on moving loads is usually investigated in a more stable way than that of conventional arches.

Application of TMD to Reduce Seismic Response of Arch Structure (아치구조물의 지진응답 저감을 위한 TMD의 적용)

  • Kim, Gee-Cheol;Kang, Joo-Won;Kim, Hyun-Su
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.27-30
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    • 2010
  • TMD(Tuned Mass Damper)는 대표적인 제진장치로서 주로 고층건물, 교량 및 스타디움의 객석 등의 진동제어에 이용되고 있다. 그러나 대공간구조물과 같이 면외 방향의 강성이 매우 작은 구조물에 대한 TMD 적용에 대한 연구는 거의 전무한 실정이다. 본 연구에서는 아치구조물의 진동에 대한 TMD의 제어 성능을 TMD의 설치위치 및 거동방향에 따라서 비교분석하였다. 아치구조물은 수평지진동에 대해서는 역대칭모드인 1차 모드가 지배적이며, 연직지진동에 대해서는 대칭모드인 2차 모드가 지배적인 진동응답을 보이고 있다. 따라서 아치구조물의 효율적인 진동응답제어를 위해서는 진동모드가 탁월한 위치에 TMD를 설치하는 것이 합리적이다. 그리고 수평지진동 및 수직지진동에 대하여 TMD가 수평방향으로 거동하도록 하는 것보다 연직방향으로 움직이도록 설치하는 것이 아치구조물의 진동제어에 있어서 매우 효과적인 것으로 나타났다.

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A Study on the Seismic Response of Arch Structures Using Artificial Earthquake Ground Motions (아치구조물의 모의지진파 입력에 따른 지진응답특성에 관한 연구)

  • Jung, Chan-Woo;Park, Sung-Moo;Kang, Joo-Won
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.6
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    • pp.59-66
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    • 2008
  • Seismic safety is more important for large spatial structure such as theaters, stadiums, gymnasiums since these structure are public goods. It is, however, difficult to understand behavior taking place when large spatial structure which has variety of structural system and shape receives seismic load. On this study, the natural vibration mode of arch structure which is main structural element of the large spatial structure, is checked. And then, when the artificial earthquake ground motion is applied to arch structure, it is more affective by long period component than magnitude of design acceleration spectrum.

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Application of Numerical Differentiation in Structural Analyses of Arch Structures (아치구조물의 구조해석에서 수치미분의 적용)

  • Lee, Byoung-Koo;Kim, Suk-Ki;Lee, Tae-Eun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.4 s.74
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    • pp.441-447
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    • 2006
  • This paper deals with the application of the numerical differentiation in the structural analyses. Derivative values of the geometry of structure are definitely needed for analysing the structural behavior. In this study, free vibration problems of arches are chosen for verifying the numerical differential technique in the structural analyses. The curvature parameters composed with the derivatives of arch geometry obtained herein are quite agreed with those of analytical method. Also, natural frequencies with curvature parameters obtained by using the forward fifth polynomial method are quite agreed with those in the literature. The numerical differentiation technique can be practically utilized in the structural analyses.

Numerical analyses for mechanical behavior of cut-and-cover tunnel with precast arch type (프리캐스트 아치형 개착식 터널의 역학적 거동에 관한 수치해석)

  • Hwang, Jae-Hong
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.11 no.3
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    • pp.315-325
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    • 2009
  • The thickness of the material can be thinned because arch cut-and-cover tunnel has the support mechanism by the axial force, and the ground reaction force due moderate deformation can be expected thereby making it be dynamically advantageous, therefore the arch cut-and-cover tunnel has become more widely used. An important characteristic of the arch cut-and-cover tunnel is that the thickness of the material can be thinned because precast arch type has the support mechanism by the axial force. However, there is a different stress state surrounding the structures between normally excavated tunnels and cut-and-cover tunnels, it should be considered at designing. Therefore, finite element method was carried out to examine the mechanical behavior of the precast arch cut-and-cover tunnel considering construction procedure.

The Optimal Configuration of Arch Structures Using Force Approximate Method (부재력(部材力) 근사해법(近似解法)을 이용(利用)한 아치구조물(構造物)의 형상최적화(形狀最適化)에 관한 연구(研究))

  • Lee, Gyu Won;Ro, Min Lae
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.95-109
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    • 1993
  • In this study, the optimal configuration of arch structure has been tested by a decomposition technique. The object of this study is to provide the method of optimizing the shapes of both two hinged and fixed arches. The problem of optimal configuration of arch structures includes the interaction formulas, the working stress, and the buckling stress constraints on the assumption that arch ribs can be approximated by a finite number of straight members. On the first level, buckling loads are calculated from the relation of the stiffness matrix and the geometric stiffness matrix by using Rayleigh-Ritz method, and the number of the structural analyses can be decreased by approximating member forces through sensitivity analysis using the design space approach. The objective function is formulated as the total weight of the structures, and the constraints are derived by including the working stress, the buckling stress, and the side limit. On the second level, the nodal point coordinates of the arch structures are used as design variables and the objective function has been taken as the weight function. By treating the nodal point coordinates as design variable, the problem of optimization can be reduced to unconstrained optimal design problem which is easy to solve. Numerical comparisons with results which are obtained from numerical tests for several arch structures with various shapes and constraints show that convergence rate is very fast regardless of constraint types and configuration of arch structures. And the optimal configuration or the arch structures obtained in this study is almost the identical one from other results. The total weight could be decreased by 17.7%-91.7% when an optimal configuration is accomplished.

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Seismic Response of the Arch Structure with Column (하부기둥을 갖는 아치 구조물의 지진응답에 관한 연구)

  • Kang, Joo-Won;Lee, Sang-Hoon
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.1
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    • pp.95-102
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    • 2010
  • Spatial structures have the different dynamic characteristics from general rahmen structures and many studies on dynamic behavior of it is conducted. But most studies was conducted about the particular shape of spatial structures and, directly, the usable results of studies are very limited for seismic design of spatial structures with the lower structure. So, this study is conducted about the truss arch structure that the basic dynamic characteristics of spatial structure is inherent in, and the change of its seismic response is analyzed when columns have different length on both ends of it. According to the difference of column's length on both ends, the vertical acceleration response of truss arch structure is affected more than the horizontal acceleration response of it. Therefore, when the stiffness of lower structures that support the upper structure is different, the consideration of the vertical response is significantly required for the seismic design of spatial structures.

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