• 국제강구조저널
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• 제18권5호
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• pp.1654-1665
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• 2018

In an irregular prism tensegrity, the number of force equilibrium equations is less than the number of unknown parameters of nodal coordinates and member force ratios. As a result, the form-finding process normally becomes nonlinear with additional conditions or needs to be carried out with the use of iterative procedures. For cases of irregular prism tensegrity which involves large number of members, it was found that previously proposed methods of form-finding are not practical. Moreover, there is a need for a form-finding approach which is able to cater to different requirements on final configuration. In this paper, the length relation condition is introduced to be used in combination with the force equilibrium equation. With the combined use of length relation and equilibrium conditions, a linear form-finding approach for irregular prism tensegrity was successfully formulated and developed. An easy-to-use interactive form-finding tool has been developed which can be used for form-finding of irregular prism tensegrities with large number of elements as well as under diverse specific requirements on their configurations.

• Advances in Computational Design
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• 제2권1호
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• pp.71-87
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• 2017

This study focuses on the efficiency and applicability of dynamic relaxation methods in form-finding of membrane structures. Membrane structures have large deformations that require complex nonlinear analysis. The first step of analysis of these structures is the form-finding process including a geometrically nonlinear analysis. Several numerical methods for form-finding have been introduced such as the dynamic relaxation, force density method, particle spring systems and the updated reference strategy. In the present study, dynamic relaxation method (DRM) is investigated. The dynamic relaxation method is an iterative process that is used for the static equilibrium analysis of geometrically nonlinear problems. Five different examples are used in this paper. To achieve the grading of the different dynamic relaxation methods in form-finding of membrane structures, a performance index is introduced. The results indicate that viscous damping methods show better performance than kinetic damping in finding the shapes of membrane structures.

• Architectural research
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• 제14권4호
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• pp.143-152
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• 2012

A form-finding procedure is presented for planar tensegrity structures. Notably, a simple decision criteria is proposed to select the desirable candidate position vector from the unitary matrix produced by the eigenvalue decomposition of force density matrix. The soundness of the candidate position vector guarantees faster convergence and produces a desirable form of tensegrity without any member having zero-length. Several numerical examples are provided to demonstrate the capability of the proposed form-finding process.

• Architectural research
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• 제15권4호
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• pp.207-214
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• 2013

A form-finding technique is proposed for three-dimensional spatial structures. Two-step discrete finite element (FE) mesh generator based on computer aided geometric design (CAGD) is introduced and used to control the shape of three-dimensional spatial structures. Mathematical programming technique is adopted to search new forms (or shapes) of spatial structures. For this purpose, the strain energy is introduced as the objective function to be minimized and the initial volume (or the initial weight) is considered as constraint function. Numerical examples are carried out to test the capability of the proposed form-finding techniques and provided as benchmark tests.

• Structural Engineering and Mechanics
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• 제42권2호
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• pp.191-210
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• 2012

The Force Density Method (FDM) is a well known and extremely versatile tool in form finding of cable nets. In its linear formulation such method makes it possible to find all the possible equilibrium configurations of a net of cables having a certain given connectivity and given boundary conditions on the nodes. Each singular configuration corresponds to an assumed force density distribution. Its improvement as Non-Linear Force Density Method (NLFDM) introduces the possibility of imposing assigned relative distances among the nodes, the tensile level in the elements and/or their initial undeformed length. In this paper an Extended Force Density Method (EFDM) is proposed, which makes it possible to set conditions in terms of given fixed nodal reactions or, in other words, to fix the positions of a certain number of nodes and, at the same time, to impose the intensity of the reaction force. Through such extension, the (EFDM) enables us to deal with form findings problems of cable nets subjected to given constraints and, in particular, with mixed structures, made of cables and struts. The efficiency and the robustness of method are assessed through comparisons with other form finding techniques in dealing with characteristic applications to the prestress design of cable systems. As a further extension, the EFDM is applied to structures having some parts not yet geometrically defined, as can happen in designing new creative forms.

• 한국전산구조공학회논문집
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• 제27권4호
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• pp.313-320
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• 2014

텐세그리티 구조물은 인장력을 받는 연속된 케이블 안에 압축력을 받는 스트럿이 결합된 형태로 구성된다. 텐세그리티 구조물은 자기 응력 상태를 갖는 프리스트레스 핀 접합 구조물에 속한다. 텐세그리티 구조물 설계의 핵심은 평형 배열상태를 구하는 일명 형상탐색 과정이다. 본 논문에서는 세 가지의 효과적인 텐세그리티 구조물의 형상탐색 기법을 제안하였다. 형상탐색과정을 수행하면 평형상태의 내력 밀도와 그에 대응하는 위상을 얻을 수 있다. 이 때 평형상태를 형성하는 적절한 내력밀도 값을 얻기 위해 유전자 알고리즘을 결합한 내력밀도법이 사용되었다. 수치해석 예제를 통해 제안 알고리즘의 효율성을 입증하였다.

• Structural Engineering and Mechanics
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• 제62권1호
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• pp.85-95
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• 2017

This paper presents an explicit analytical iteration method for form-finding analysis of suspension bridges. By extending the conventional analytical form-finding method predicated on the elastic catenary theory, two nonlinear governing equations are derived for calculating the accurate unstrained lengths of the entire cable systems both the main cable and the hangers. And for the gradient-based iteration method, the derivation of explicit calculation for the Jacobian matrix while solving the nonlinear governing equation enhances the computational efficiency. The results from sensitivity analysis show well performance of the explicit Jacobian matrix compared with the traditional finite difference method. According to two numerical examples of long span suspension bridges studied, the proposed method is also compared with those reported approaches or the fundamental criterions in suspension bridge structural analysis, which eventually confirms the accuracy and efficiency of the proposed approach.

• 한국공간구조학회논문집
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• 제2권1호
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• pp.75-84
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• 2002

In this study, the 'force density method' for shape finding of cable net structures is presented. This concept is based on the force-length ratios or force densities which are defined for each branch of the net structures. This method renders a simple linear 'analytical form finding' possible. If the free choice of the force densities is restricted by further condition, the linear method is extended to a nonlinear one. The nonlinear one can be applied to the detailed computation of networks. In this paper, the general inverse matrix is introduced to solve the nonlinear equilibrium equation including Jacobian matrix which is rectangular matrix. Several examples for linear and nonlinear analysis applied additional constraints are presented. It is shown that the force density method is suitable for form finding of cable net and the general inverse matrix can be applied to solve the nonlinear equation without Lagrangian factors.

• 한국전산구조공학회논문집
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• 제12권3호
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• pp.457-464
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• 1999

본 논문의 목적은 막구조물의 형상해석, 응력-변형 해석, 재단도 해석을 수행하는 것이고, 재료는 선형탄성, 응력은 평면응력의 상태로 가정한다. 케이블 및 막구조물은 외력에 대한 변형이 매우 큰 구조물이기 때문에 기하비선형을 고려한 비선형해석을 하여야 한다 해석은 일반적인 구조물과는 달리 다음의 3단계로 구성된다. 첫 번째 단계는 초기 평형형상을 결정하기 위한 형상해석이고, 두 번째 단계는 다양한 외력이 가해졌을 때 구조물의 거동을 파악하는 응력-변형 해석이다. 이렇게 하여 일단 만족된 형상이 얻어지면 형상해석에서 얻은 결과를 기초로 하여 시공적 관점의 재단도 해석이 수행된다. 본 논문에서는 서귀포 월드컵 축구 경기장 지붕 구조물의 예를 들어 형상해석, 응력-변형 해석, 재단도 해석을 수행하고, 카테노이드(Catenoid) 구조물을 이용하여 최적재단도에 관한 해석기법을 제시한다.

• 기록학연구
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• 제8호
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• pp.181-211
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• 2003

The purpose of this study is to reveal the context within which EAD was developed, to review the elements and the structure of EAD 1.0 version and to introduce EAD as new standard for encoded archival finding aids in Korea. Encoded Archival Description(EAD) has been developed in 1993 in order to facilitate exchange of ISAD(G) descriptive information. EAD is currently administered and maintained jointly by the Society of American Archivists and the United States Library of Congress. While development was initiated in the United Stares, international interest and contribution are increasing. EAD is a encoding standard designed specifically for marking up information contained in archival finding aids. From its inception, EAD was based on SGML, and, with the release of EAD version 1.0 in 1998, it is also compliant with XML in order to facilitate easier internet access to SGML-encoded finding aids. EAD is the first tool to preserve the multilevel and hierarchical description manifest in finding aids by providing structures in which to describe entire record collections and increasingly smaller subcomponents thereof such as series, subseries, folders, and even items. Archival institutions can form a EAD consortium and also create a union database of EAD finding aids for the geographically dispersed collections. The EAD DTD provides a flexible way for archives to convert finding aids that exist in paper form into electronic documents or to create new finding aids in electronic form.