• Structural Engineering and Mechanics
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• 제43권5호
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• pp.637-655
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• 2012

In this study, stochastic responses of a cable-stayed bridge subjected to the spatially varying earthquake ground motion are investigated by the finite element method taking into account soil-structure interaction (SSI) effects. The considered bridge in the analysis is Quincy Bay-view Bridge built on the Mississippi River in between 1983-1987 in Illinois, USA. The bridge is composed of two H-shaped concrete towers, double plane fan type cables and a composite concrete-steel girder deck. In order to determine the stochastic response of the bridge, a two-dimensional lumped masses model is considered. Incoherence, wave-passage and site response effects are taken into account for the spatially varying earthquake ground motion. Depending on variation in the earthquake motion, the response values of the cable-stayed bridge supported on firm, medium and soft foundation soil are obtained, separately. The effects of SSI on the stochastic response of the cable-stayed bridge are also investigated including foundation as a rigidly capped vertical pile groups. In this approach, piles closely grouped together beneath the towers are viewed as a single equivalent upright beam. The soil-pile interaction is linearly idealized as an upright beam on Winkler foundation model which is commonly used to study the response of single piles. A sufficient number of springs on the beam should be used along the length of the piles. The springs near the surface are usually the most important to characterize the response of the piles surrounded by the soil; thus a closer spacing may be used in that region. However, in generally springs are evenly spaced at about half the diameter of the pile. The results of the stochastic analysis with and without the SSI are compared each other while the bridge is under the sway of the spatially varying earthquake ground motion. Specifically, in case of rigid towers and soft soil condition, it is pointed out that the SSI should be significantly taken into account for the design of such bridges.

• Structural Engineering and Mechanics
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• 제30권1호
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• pp.37-66
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• 2008

This paper focuses on the nonlinear vibrations of stay cables and evaluates the dynamic characteristics of stay cables by using the nonlinear enhanced MECS approach and the approximate approach. The nonlinear enhanced MECS approach is that both the girder-tower vibrations and the cable vibrations including parametric cable vibrations are simultaneously considered in the numerical analysis of cable-stayed bridges. Cable finite element method is used to simulate the responses including the parametric vibrations of stay cables. The approximate approach is based on the assumption that cable vibrations have a small effect on girder-tower vibrations, and analyzes the local cable vibrations after obtaining the girder-tower responses. Under the periodic excitations or the moderate ground motion, the differences of the responses of stay cables between these two approaches are evaluated in detail. The effect of cable vibrations on the girder and towers are also discussed. As a result, the dynamic characteristics of the parametric vibrations in stay cables can be evaluated by using the approximate approach or the nonlinear enhanced MECS approach. Since the different axial force fluctuant of stay cables in both ends of one girder causes the difference response values between two approach, it had better use the nonlinear enhanced MECS approach to perform the dynamic analyses of cable-stayed bridges.

• Steel and Composite Structures
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• 제43권4호
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• pp.457-464
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• 2022

Optimization in distribution of stay cable forces is one of the most difficult aspects in the design of cable-stayed bridges. This article attempts to examine tension force influence on structural behavior of cable-stayed bridges. For the examination, finite element modeling using nonlinear static and nonlinear modal analyses was completed and compared to structural experimental results. Variables analyzed in this parametric study were: 1) Number of stay cables; 2) Tension of the stay cables, and 3) Stay cable pattern - harp and semi-fan patterns. Though the findings from the analysis are limited to the tested models, the study gives insight on the structural behavior of actual cable stayed bridges.

• 한국강구조학회 논문집
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• 제19권2호
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• pp.147-160
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• 2007

사장교 가설 시 태풍에도 내풍안정성을 확보할 수 있도록 내풍케이블 가설공법에 대한 심도 있는 실험을 수행하였다. 주경간이 각각 475m, 230m인 강합성 사장교에 대하여 가설단계별로 내풍케이블의 배치를 다양하게 적용하여 동적 풍하중이 가설 중 사장교에 미치는 영향을 전교모형실험을 통해 검토하였으며 이를 위해 풍속 별로 캔틸레버 단부의 정적 및 동적 변위, 주탑상부의 가속도 그리고 주탑 하단부의 교축방향 휨모멘트를 산정하였다. 연구 결과 캔틸레버 당 두 세트의 수직 내풍케이블이 가장 효과적인 제진대책임을 알 수 있었다. 캔틸레버 한 쪽 길이가 약 105m인 경우 한 세트의 수직 내풍케이블도 상당한 제진효과를 발휘하였으며 캔틸레버 길이가 200m 이상의 경우 수직케이블과 우물통 경사케이블이 조합된 경우와 캔틸레버 당 두 세트의 경사 내풍케이블도 좋은 제진방안으로 판단된다. 우물통 상단에 연결되는 경사케이블은 캔틸레버 단부 부근에 설치된 경우에만 어느 정도 제진효과가 나타났다.

• Smart Structures and Systems
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• 제15권3호
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• pp.505-522
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• 2015

Variation of temperature is a primary environmental factor that affects the behavior of structures. Therefore, understanding the mechanisms of normal temperature-induced variations of structural behavior would help in distinguishing them from anomalies. In this study, we used the structural health monitoring data of the Shanghai Yangtze River Bridge, a steel girder cable-stayed bridge, to investigate the mechanisms of thermally induced vertical deflection ($D_T$) at mid-span of such bridges. The $D_T$ results from a multisource combination of thermal expansion effects of the cable temperature ($T_{Cab}$), girder temperature ($T_{Gir}$), girder differential temperature ($T_{Dif}$), and tower temperature ($T_{Tow}$). It could be approximated by multiple linear superpositions under operational conditions. The sensitivities of $D_T$ of the Shanghai Yangtze River Bridge to the above temperatures were in the following order: $T_{Cab}$ > $T_{Gir}$ > $T_{Tow}$ > $T_{Dif}$. However, the direction of the effect of $T_{Cab}$ was observed to be opposite to that of the other three temperatures, and the magnitudes of the effects of $T_{Cab}$ and $T_{Gir}$ were found to be almost one order greater than those of $T_{Dif}$ and $T_{Tow}$. The mechanisms of the thermally induced vertical deflection variation at mid-span of a cable-stayed bridge as well as the analytical methodology adopted in this study could be applicable for other long-span cable-stayed bridges.

• 한국강구조학회 논문집
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• 제23권2호
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• pp.199-210
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• 2011

사장교의 케이블은 타 부재에 비해 단면적이 매우 작고 고응력 상태이므로 진동에 매우 민감한 부재이다. 따라서 사장교 케이블의 충격계수는 실제 차량의 주행으로 발생하는 동적 효과를 반영하여 평가하는 것이 합리적이다. 이에 본 연구에서는 차량 중량, 케이블 모델, 노면조도, 차량속도 및 차량간격의 설계변수를 고려하여 중앙경간 230m 및 540m의 강합성 사장교를 대상으로 차량 이동하중 해석을 수행하여 케이블의 충격계수를 평가하고, 현재 실무에서 사용되고 있는 영향선을 이용한 방법과 비교하였다. 본 연구에 사용된 노면조도는 ISO 8608 규정에 근거하여 랜덤 생성하였으며, 생성 회수에 따른 케이블 충격계수의 수렴 추이를 분석함으로써 결과의 신뢰도를 확보하였다. 또한, 차량모델은 9-자유도를 갖는 트랙터-트레일러 형식의 트럭 모델을 적용하였으며 차량의 운동방정식은 Lagrange운동방정식으로부터 유도하였다. 해석 대상 교량은 3차원 유한요소모델로 구축하였으며 보강형과 주탑은 보요소, 케이블은 등가탄성계수를 갖는 트러스요소를 사용하였다. 이동하중으로 인한 교량-차량 상호작용 해석에는 직접적분법을 사용하였으며, 교량의 변위 오차율이 허용 범위 내에 수렴될 때까지 반복 해석을 수행하였다. 그 결과, 실제 차량의 주행으로 발생하는 동적 효과를 고려하지 못하는 영향선 기법은 차량 이동하중 해석에 비해 측경간 단부 케이블의 충격계수를 과소평가할 수 있는 것으로 나타났다.

• 한국전산구조공학회논문집
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• 제25권2호
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• pp.155-162
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• 2012

최근의 토목분야의 프로젝트에 있어 장대교량의 건설이 주를 이루고 있으며, 장대교량의 여러 형식 가운데서도 사장교가 현재 계획, 설계 중인 프로젝트에서 상당한 비중을 차지하고 있다. 사장교가 대형화 및 장경간화 됨에 따라, 구조물의 경량화를 위하여 강재를 사용한 사장교가 건설되어 왔다. 그러나 많은 사례에서 주탑은 구조적, 경제적인 이유로 콘크리트로 시공되고 있다. 콘크리트는 재료적 특성상 크리프와 건조수축에 의한 장기거동의 영향을 크게 받는데, 이러한 특성으로 인하여 응력의 재분배와 시공 중 구조계의 변화 등 해석상 고려해야 할 부분이 많아진다. 본 연구에서는 철근콘크리트의 비선형성을 고려한 유한요소해석 프로그램 RCAHEST를 사용하여 콘크리트 주탑을 채택한 사장교 중에 국내 최장의 강사장교인 인천대교를 선택하여 해석을 수행하였다. 실제 시공된 교량의 시공단계해석과 완공 후 시간해석을 통하여 콘크리트 주탑만의 시간 의존적 효과가 사장교 전체계에 미치는 영향을 파악하였다.

• Structural Engineering and Mechanics
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• 제70권2호
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• pp.143-152
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• 2019

In this study, stochastic responses of a cable-stayed bridge subjected to the spatially varying earthquake ground motion are investigated for variable local soil cases and wave velocities. Quincy Bay-view cable-stayed bridge built on the Mississippi River in Illinois, USA selected as a numerical example. The bridge is composed of two H-shaped concrete towers, double plane fan type cables and a composite concrete-steel girder deck. The spatial variability of the ground motion is considered with the coherency function, which is represented by the components of incoherence, wave-passage and site-response effects. The incoherence effect is investigated by considering Harichandran and Vanmarcke model, the site-response effect is outlined by using hard, medium and soft soil types, and the wave-passage effect is taken into account by using 1000, 600 and 200 m/s wave velocities for the hard, medium and soft soils, respectively. Mean of maximum response values obtained from the analyses are compared with those of the specific cases of the ground motion model. It is concluded that the obtained results from the bridge model increase as the differences between local soil conditions cases of the bridge supports change from firm to soft. Moreover, the variation of the wave velocity has important effects on the responses of the deck and towers as compared with those of the travelling constant wave velocity case. In addition, the variability of the ground motions should be considered in the analysis of long span cable-stayed bridges to obtain more accurate results in calculating the bridge responses.

• 한국강구조학회 논문집
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• 제19권5호
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• pp.435-454
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• 2007

본 연구에서는 국내 내진 설계규정에서 고려하고 있지 않은 근거리지진의 특성을 규명하고, 사장교 구조물에 미치는 영향을 검토하고자 한다. 대표적인 근거리 및 원거리지진의 실측자료를 선정한 후, 탄성 및 비탄성응답스펙트럼을 작성하여 지진기록의 특성을 분석하였다. 세 가지 형식의 사장교 및 실제 사장교 구조물을 대상으로 지진특성에 따른 응답해석을 수행하여 주요부재에 대한 응답특성을 비교 분석하였다. 또한 지진응답해석 결과를 이용하여 신뢰성해석을 수행하였으며, 신뢰성지수 및 파괴확률을 검토함으로써 대상 사장교 구조물의 내진 안전성을 정량적으로 평가하였다. 응답스펙트럼, 지진응답해석 및 신뢰성해석 결과에 의하면 근거리지진이 사장교 응답에 대한 영향은 기존의 원거리지진과는 상이한 양상을 보이고 있으므로, 사장교 구조물 설계 시 중요한 인자로 고려해야 할 것을 제시하고자 한다.

• Steel and Composite Structures
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• 제44권2호
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• pp.241-254
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• 2022

The cables in a cable-stayed bridge are critical load-carrying parts. The potential damage to cables should be identified early to prevent disasters. In this study, an efficient deep learning model is proposed for the damage identification of cables using both a multi-layer perceptron (MLP) and a graph neural network (GNN). Datasets are first generated using the practical advanced analysis program (PAAP), which is a robust program for modeling and analyzing bridge structures with low computational costs. The model based on the MLP and GNN can capture complex nonlinear correlations between the vibration characteristics in the input data and the cable system damage in the output data. Multiple hidden layers with an activation function are used in the MLP to expand the original input vector of the limited measurement data to obtain a complete output data vector that preserves sufficient information for constructing the graph in the GNN. Using the gated recurrent unit and set2set model, the GNN maps the formed graph feature to the output cable damage through several updating times and provides the damage results to both the classification and regression outputs. The model is fine-tuned with the original input data using Adam optimization for the final objective function. A case study of an actual cable-stayed bridge was considered to evaluate the model performance. The results demonstrate that the proposed model provides high accuracy (over 90%) in classification and satisfactory correlation coefficients (over 0.98) in regression and is a robust approach to obtain effective identification results with a limited quantity of input data.