• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2006년도 정기 학술대회 논문집
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• pp.786-793
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• 2006

For the purpose of developing a vibration-based tension force evaluation procedure for hangers in suspension bridges, a 3D finite element model of hangers is constructed in this paper. With the developed finite element formulation, a frequency-based sensitivity-updating algorithm is applied to identify the target cable system the proposed method is also able to identify the flexural rigidity. the axial rigidity, and the torsion rigidity of a cable. For a field application, a vibration test on hangers of the Yong Jong Grand Suspension Bridge is carried out and the collected data is used to verify the proposed method.

• Structural Engineering and Mechanics
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• 제30권5호
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• pp.559-576
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• 2008

Having established the initial geometry and cable force of a typical three span suspension bridge under permanent load, the additional maximum response of the cable and the stiffening girder due to live load are determined, by means of an analytic procedure, considering the girder first hinged at its ends and then continuous through the main towers. The problem of interaction between the cable and the stiffening girder is examined taking under due consideration the second order effects, whereby, through the analogy to a fictitious tensioned beam under transverse load, a closed -form solution is achieved by means of a simple quadratic equation. It is found that the behavior of the whole system is governed by five simple dimensionless parameters which enable a quick determination of all the relevant design magnitudes of the bridge. Moreover, by introducing these parameters, a set of diagrams is presented, which enable the estimation of the influence of the geometric and loading data on the response and permit its immediate evaluation for preliminary design purposes.

• 한국강구조학회 논문집
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• 제23권6호
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• pp.669-677
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• 2011

다경간 현수교란 3개 이상의 주탑을 가지는 현수교로 중앙부에 주 경간을 2개 이상 가지는 현수교이다. 다경간 현수교 설계시 중앙주탑과 측주탑의 적절한 강성비를 가지도록 설계하는 것이 경제성이나 구조적인 효율성 측면에서 중요하다. 본 연구는 다경간 현수교의 중앙주탑과 측주탑의 적절한 강성비를 찾기 위해 다경간 현수교의 거동을 용이하게 파악할 수 있는 간편한 방법을 제안하는 것을 목적으로 하고 있다. 그 방법으로 다경간 현수교의 주케이블을 등가의 케이블 스프링으로 이상화하고, 주케이블에 작용하는 장력을 주탑상단에 수평력과 수직력의 외력으로 치환시키는 방법으로 다경간 현수교를 등가 다경간 현수교 모델로 치환하였다. 등가 다경간 현수교 모델에 대한 평형방정식을 유도하고 비선형해석을 통해 방정식의 해를 구하였다. 중앙지간장 3,000m의 4경간 현수교의 FEM 해석을 통해 각 주탑에서 발생하는 변위와 모멘트 반력을 계산하고, 이 결과를 등가 4경간 현수교 모델의 해석결과와 비교하여 본 연구의 연구결과를 검증하였다. 검증 결과, 본 연구의 제안방법은 FEM 해석결과와 비슷한 경향을 나타내었다.

• Structural Engineering and Mechanics
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• 제51권5호
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• pp.847-866
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• 2014

This paper describes a formulation to predict optimum post-tensioning forces and cable dimensioning for self-anchored cable-stayed suspension bridges. The analysis is developed with respect to both dead and live load configurations, taking into account design constrains concerning serviceability and ultimate limit states. In particular, under dead loads, the analysis is developed with the purpose to calculate the post-tensioning cable forces to achieve minimum deflections for both girder and pylons. Moreover, under live loads, for each cable elements, the lowest required cross-section area is determined, which verifies prescriptions, under ultimate or serviceability limit states, on maximum allowable stresses and bridge deflections. The final configuration is obtained by means of an iterative procedure, which leads to a progressive definition of the stay, hanger and main cable characteristics, concerning both post-tensioning cable stresses and cross-sections. The design procedure is developed in the framework of a FE modeling, by using a refined formulation of the bridge components, taking into account of geometric nonlinearities involved in the bridge components. The results demonstrate that the proposed method can be easily utilized to predict the cable dimensioning also in the framework of long span bridge structures, in which typically more complexities are expected in view of the large number of variables involved in the design analysis.

• 국제강구조저널
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• 제18권4호
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• pp.1252-1264
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• 2018

Long span bridges such as steel cable stayed and suspension bridges are usually more flexible than short to medium span bridges and expected to have large deformations. Deflections due to live load for long span bridges are important since it controls the overall heights of the bridge for securing the clearance under the bridge and serviceability for securing the comfort of passengers or pedestrians. In case of sea-crossing bridges, the clearance of bridges is determined considering the height of the ship master from the surface of the water, the trim of the ship, the psychological free space, the tide height, and live load deflection. In the design of bridges, live load deflection is limited to a certain value to minimize the vibrations. However, there are not much studies that consider the live load deflection and its effects for long span bridges. The purpose of this study is to investigate the suitability of live load deflection limit and its actual effects on serviceability of bridges for steel cable-stayed and suspension bridges. Analytical study is performed to calculate the natural frequencies and deflections by design live load. Results are compared with various design limits and related studies by Barker et al. (2011) and Saadeghvaziri et al. (2012). Two long span bridges are selected for the case study, Yi Sun-Sin grand bridge (suspension bridge, main span length = 1545 m) and Young-Hung grand bridge (cable stayed bridge, main span length = 240 m). Long-term measured deflection data by GNSS system are collected from Yi Sun-Sin grand bridge and compared with the theoretical values. Probability of exceedance against various deflection limits are calculated from probability distribution of 10-min maximum deflection. The results of the study on the limitation of live load deflection are expected to be useful reference for the design, the proper planning and deflection review of the long span bridges around the world.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2006년도 춘계학술대회논문집
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• pp.894-901
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• 2006

In general, the tension fores of hanger cable in suspension bridges play an important role in evaluating the bridge state. The vibration method, as a conventional one, has been widely applied to estimate the tension fores by using the measured frequencies on hanger cables. However, the vibration method is not applicable to short hanger cables because the frequency of short cables is severely sensitive to the flexural rigidity. Thus, in this study, the tension forces of short hanger cables, of which the length is shorter than 10meters, were estimated through back analysis of the cable frequencies measured from Gwang-An suspension bridge in Korea. Direct approach to rock analysis is adopted using the univariate method among the direct search methods as an optimization technique. The univariate method is able to search the optimal tension forces without regard to the initial ones and has a rapid convergence rate. To verify the feasibility of back analysis, the results from back analysis and vibration method are compared with the design tension forces. From the comparison, it can be inferred that back analysis results are more reasonable agreement with the design tension forces of short hanger cable. Therefore, it is concluded that back analysis applied in this study is an appropriate tool for estimating tension forces of short hanger cables.

• Structural Engineering and Mechanics
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• 제78권1호
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• pp.87-102
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• 2021

Long span cross-rope suspension structure is an innovative structural system evolved from typical Cross-Rope Suspension (CRS) guyed tower, a type of supporting system with short span suspension cable supporting overhead power transmission lines. In mountainous areas, the span length of suspension cable was designed to be extended to hundreds or over one thousand meters, which is applicable for crossing deep valleys. Vortex Induced Vibration (VIV) of overhead power transmission lines was considered to be one of the major factors of its fatigue and service life. In this paper, VIV and its controlling by Stockbridge damper for long span CRS was discussed. Firstly, energy balance method and finite element method for assessing VIV of CRS were presented. An approach of establishing FE model of long span CRS structure with dampers was introduced. The effect of Stockbridge damper for overall vibration of CRS was compared in both theoretical and numerical approaches. Results indicated that vibration characteristics of conductor in long span CRS compared with traditional tower-line system. Secondly, analysis on long span CRS including Stockbridge damper showed additional dampers installed were essential for controlling maximum dynamic bending stresses of conductors at both ends. Moreover, factors, including configuration and mass of Stockbridge damper, span length of suspension cable and conductor and number of spans of conductor, were assessed for further discussion on VIV controlling of long span CRS.

• 한국공간구조학회:학술대회논문집
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• 한국공간구조학회 2008년도 춘계 학술발표회 논문집
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• pp.37-42
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• 2008

구조물에서 케이블 부재는 압축이나 휨이 없이 인장력에 의해서 하중을 전달하는 시스템이다. 케이블 시스템은 대공간 구조의 지붕, 공기 지지구조, 프리스트레스 막구조, 케이블 네트워크 구조, 현수구조, 가이드 타워, 해양 프래트폼, 현수교 등의 구조물에 널리 사용되어 왔다. 케이블 부재는 부재 단부에 소켓, 스웨이징, 스프라이스 슬리브, 클립, 웨지, 루프 스프라이스 등에 의해서 하중을 전달 할 수 있다. 본 연구에서는 케이블 연결 소켓의 인장강도에 대한 실험을 수행하고자 한다. 실험결과에서 대부분의 시험체가 케이블이 파단하중에 도달하기 전에 소켓의 연결부에서 파단이 일어났다.

• Structural Engineering and Mechanics
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• 제21권4호
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• pp.375-392
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• 2005

Cable supported structures offer an elegant and economical solution for bridging over long spans with resultant low material content and ease of construction. In this paper, a model of shallow cable supported footbridge with reverse profiled pre-tensioned cables is treated and its load deformation characteristics under different quasi-static loads are investigated. Effects of important parameters such as cable sag and pre-tension are also studied. Numerical results performed on a 3D model show that structural stiffness of this bridge (model) depends not only on the cable sag and cross sectional areas of the cables, but also on the pre-tension in the reverse profiled cables. The tension in the top supporting cables can be adjusted to a high level by the pre-tension in the reverse profiled bottom cables, with the total horizontal force in the bridge structure remaining reasonably constant. It is also evident that pre-tensioned horizontally profiled cables can greatly increase the lateral horizontal stiffness and suppress the lateral horizontal deflection induced by eccentric vertical loads.

• 대한토목학회논문집
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• 제32권5A호
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• pp.255-266
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• 2012

현수교 주케이블은 완성시 교량의 구조적 건전성을 나타내는 중요한 지표이다. 주케이블은 가설완료시 자유 매달림(free hanging) 상태의 형상이 되며 교량완성시 행어, 보강형 등의 고정하중을 지지하여 가설완료시 형상과는 차이가 발생한다. 따라서, 주케이블의 가설완료시 형상이 교량완성시 형상에 직접적인 영향을 미치므로 가설중 형상관리가 매우 중요하다. 주케이블의 가설중 형상관리는 중앙 및 측경간은 새그조정으로, 정착경간은 장력조정으로 수행된다. 새그조정은 새그조절량에 대한 스트랜드 길이 조절량을 나타내는 산정값인 새그민감도가 필요하며 장력조정은 온도변화에 대한 장력변화량을 나타내는 장력민감도가 필요하다. 이에 본 연구에서는 케이블 형상가정에 따라 유도된 기본식과 이로부터 도출된 미분 관계식으로부터 새그 및 장력민감도를 산정하는 방법을 제안하였다. 그리고, 다양한 새그변화 요인에 대해 현수선 기본식을 사용한 비선형 수치해석 새그민감도 계산 흐름도를 제안하여 미분관계식을 적용한 새그민감도 결과와 비교하였다. 또한, 각 새그변화 요인이 복합적으로 발생함으로 이를 고려하여 케이블의 최종 새그변화량을 산정하는 방법을 제안하였다. PPWS 공법으로 시공중인 실교량을 대상으로 PPWS의 길이변화 및 온도변화, 경간장변화 등의 다양한 시공여건의 변화에 따른 새그 및 장력민감도를 산정하였다. 본 연구내용이 주케이블 가설중 형상관리 방법에 대한 체계적인 지침이 되기를 바라며, 향후 실교 현장적용 및 실증에 의해 완성도를 높일 것이다.