• Title/Summary/Keyword: 평면트러스

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극한해석에 관한 단일이론

  • heo, Hun
    • Journal of the KSME
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    • v.28 no.3
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    • pp.248-256
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    • 1988
  • 극한해석은 이제까지 주로 소성구조물의 설계에 응용되어 왔다. 초기의 구조물들은 탄성에너지 이론에 의하여 설계되었고 모든 권위자들은 이를 당연하게 받아들였다. 그러나 Broek 교수와 같은 사람들의 노력에 의하여 극한설계의 타당성과 유용성이 입증되었고, 구조물의 건설에 많은 경비를 절약하게 되었다. 철탑과 같은 트러스 구조물이 그 대표적인 예로서 카나다의 수력발 전회사는 1910년 철탑을 평지에 세워놓고 모든 악조건을 부과하며 수년간 극한해석의 타당성을 실험하여 입증하였다. 트러스에 대한 극한해석 문제는 최소화 기법의 구속최소화 문제로 유도할 수 있고, 트러스문제는 소성가공의 해석에도 직접 응용할 수 있다. 왜냐하면, 예를 들어 평면변 형문제가 앞에서 보인바와 같이 똑같은 구속최소화 문제로 유도되었기 때문이다. 결론적으로, 트러스문제나, 평판문제나, 평면응력문제나, 평면변형문제가 극한해석에서는 모두 같은 문제로 간주될 수 있고 같은 공식과 같은 방법으로 풀 수 있는 것이다. 이를테면, 소성구조물에서의 한 계하중은 소성가공에서는 가공하중이 되며 모두 극한하중이 되는 것이다.

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Structural Optimization of Planar Truss using Quantum-inspired Evolution Algorithm (양자기반 진화알고리즘을 이용한 평면 트러스의 구조최적화)

  • Shon, Su-Deok;Lee, Seung-Jae
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.4
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    • pp.1-9
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    • 2014
  • With the development of quantum computer, the development of the quantum-inspired search method applying the features of quantum mechanics and its application to engineering problems have emerged as one of the most interesting research topics. This algorithm stores information by using quantum-bit superposed basically by zero and one and approaches optional values through the quantum-gate operation. In this process, it can easily keep the balance between the two features of exploration and exploitation, and continually accumulates evolutionary information. This makes it differentiated from the existing search methods and estimated as a new algorithm as well. Thus, this study is to suggest a new minimum weight design technique by applying quantum-inspired search method into structural optimization of planar truss. In its mathematical model for optimum design, cost function is minimum weight and constraint function consists of the displacement and stress. To trace the accumulative process and gathering process of evolutionary information, the examples of 10-bar planar truss and 17-bar planar truss are chosen as the numerical examples, and their results are analyzed. The result of the structural optimized design in the numerical examples shows it has better result in minimum weight design, compared to those of the other existing search methods. It is also observed that more accurate optional values can be acquired as the result by accumulating evolutionary information. Besides, terminal condition is easily caught by representing Quantum-bit in probability.

Shear Analysis of RC Structure using Evolutionary Structural Optimization (점진적 구조 최적화 기법을 이용한 철근 콘크리트 구조물의 전단 해석)

  • Kwak, Hyo-Gyoung;Yang, Kyu-Young;Shin, Dong-Kyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.3
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    • pp.319-328
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    • 2011
  • This paper introduces the construction of Strut-Tie model based on the Evolutionary Structural Optimization(ESO) method. Differently from conventional ESO method which uses plane stress elements, the introduced approach adopts the use of truss elements with the fact that the optimum topology of structures by ESO method is open a truss-like structure. Several examples are provided to demonstrate the capability of the proposed method in finding the best Strut-Tie models. In advance, it is shown that the introduced method is supported through the correlation studies between two-dimensional plane stress analysis and Strut-Tie models, and can be used effectively in practice, especially in shear design of complex reinforced concrete members where no previous experience is available.

The size and shape optimization of plane trusses using the multi-levels method (다단계 분할기법에 의한 평면트러스의 단면치수 및 형상 최적화)

  • Pyeon, Hae-Wan;Oh, Kyu-Rak;Kang, Moon-Myung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.5 s.48
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    • pp.515-525
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    • 2000
  • The purpose of this paper was to develop size & shape optimization programming algorithm of plane trusses. The optimum techniques applied in this study were extended penalty method of Sequential Unconstrained Minimization Techniques(SUMT) and direct search method with multi-variables proposed by Hooke & Jeeves. Upper mentioned two methods were used iteratively at each level of size and shape optimization routines. The design variables of size optimization were circular steel tube(structural member) diameter and thickness, those of shape optimization were joint coordinates, and the objective function was represented as total weight of truss. During the optimum design, two level procedures of size and shape optimization were interacted iteratively until the final optimum values were attained. At the previous studies about shape optimization of truss, the member sectional areas and coordinates were applied as design variables. So that they could not apply the buckling effect of compression member. In this paper, actual sizes of member and nodal coordinates are used as design variables to consider the buckling effect of compression member properly.

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Inelastic Nonlinear Analysis of Plane Truss Structures Using Arc-Length Method (호장법을 이용한 평면 트러스 구조의 비탄성 비선형 해석)

  • Kim, Kwang-Joong;Baek, Ki-Youl;Lee, Jae-Hong
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.1
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    • pp.41-48
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    • 2008
  • Spatial structure is an appropriate shape that resists external force only with in-plane forte by reducing the influence of bending moment, and it maximizes the effectiveness of structure system. the spatial structure should be analyzed by nonlinear analysis regardless static and dynamic analysis because it accompanys large deflection for member. To analyze the spatial structure geometrical and material nonlinearity should be considered in the analysis. In this paper, a geometrically nonlinear finite element model for plane truss structures is developed, and material nonlinearity is also included in the analysis. Arc-length method is used to solve the nonlinear finite element model. It is found that the present analysis predicts accurate nonlinear behavior of plane truss.

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Shape Optimization of Plane Truss Structures (평면(平面)트러스 구조물(構造物)의 형상최적화(形狀最適化))

  • Kim, Soung Wan;Lee, Gyu Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.6 no.2
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    • pp.1-15
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    • 1986
  • The algorithm Proposed utilizes the two-levels technique. In the first level which consists of two phases, the cross-sectional area of the truss member is optimized by transforming the nonlinear problem into SUMT, and solving SUMT utilizing the modified Newton-Rahson method. In the second level, the geometric shape is optimized utilizing the unindirectional search technique of the Powell method which make it possible to minimize only the objective function. The algorithm Proposed in this study is numerically tested for several truss structures with various shapes, loading conditions and design criteria, and compared with the results of the other algorithms to examine its applicability and stability. The numerical comparisons show that the two-Levels algorithm Proposed in this study is safely applicable to any design criteria, and the convergency rate is relathely fast and stable compared with other iteration methods for the geometric optimization of truss structures.

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A Study on the Shape Analysis Method of Plane Truss Structures under the Prescribed Displacement (변위제약을 받는 평면트러스 구조물의 형태해석기법에 관한 연구)

  • 문창훈;한상을
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.217-226
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    • 1998
  • The purpose of this study is to develop a technique for the shape analysis of plane truss structures under prescribed displacement modes. The shape analysis is performed based on the existence theorem of the solution and the Moore-Penrose generalized inverse matrix. In this paper, the homologous deformation of structures was proposed as prescribed displacement modes, the shape of the structure is determined from these various modes and applied loads. In general, the shape analysis is a kind of inverse problem different from stress analysis, and the governing equation becomes nonlinear. In this regard, Newton-Raphson method was used to solve the nonlinear equation. Three different shape models are investigated as numerical examples to show the accuracy and the effectiveness of the proposed method.

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Multi-Objective Fuzzy Optimization of Structures (구조물에 대한 다목적퍼지최적화)

  • Park, Choon-Wook;Pyeon, Hae-Wan;Kang, Moon-Myung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.5 s.48
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    • pp.503-513
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    • 2000
  • This study treats the criteria, considering the fuzziness occurred by optimization design. And we applied two weighting methods to show the relative importance of criteria. This study develops multi-objective optimization programs implementing plain stress analysis by FEM and discrete optimization design uniformaly. The developed program performs a sample design of 10-member steel truss. This study can carry over the multi-objective optimization based on total system fuzzy-genetic algorithms while performing the stress analysis and optimization design. Especially, when general optimization with unreliable constraints is cannot be solve this study can make optimization design closed to realistic with fuzzy theory.

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Determination of the Boundary of Parameters for Stabilization of Truss Structures Stabilized by Cable Tension (장력안정트러스 구조물의 안정화를 위한 매개변수의 범위 결정에 관한 연구)

  • 권택진;한상을;최옥훈
    • Computational Structural Engineering
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    • v.10 no.3
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    • pp.195-202
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    • 1997
  • The charateristics of stabilization for stabilized truss unit-structures with cable and truss are investigated in this paper. This unit system is composed of a central post and eight cables, and is connected by hinge joints, and stabilized by self-equilibrated stress field. As this unit structure itself is a statically closed and stabilized system individually, it can be employed to assemble structures with various configurations. In this study, for stabilization of truss structures stabilized by cable tension, the structural concept of unit structures, the range of various geometrical parameters and the relationship of governing parameters about unit systems are explained.

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