• Wind and Structures
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• 제4권1호
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• pp.1-18
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• 2001

The classical two-degree-of-freedom (2-d-o-f) "sectional model" is currently used to study the dynamics of suspension bridges. Taking into account the first pair of vertical and torsional modes of the bridge, it describes well global oscillations caused by wind actions on the deck and yields very useful information on the overall behaviour and the aerodynamic and aeroelastic response, but does not consider relative oscillation between main cables and deck. The possibility of taking into account these relative oscillations, that can become significant for very long span bridges, is the main purpose of the 4-d-o-f model, proposed by the Authors in previous papers and fully developed here. Longitudinal deformability of the hangers (assumed linear elastic in tension and unable to react in compression) and external loading on the cables are taken into account: thus not only global oscillations, but also relative oscillations between cables and deck can be described. When the hangers go slack, large nonlinear oscillations are possible; if the hangers remain taut, the oscillations are small and essentially linear. This paper describes the model proposed for small and large oscillations, and investigates in detail the limit condition for linear response under harmonic actions on the cables (e.g., like those that could be generated by vortex shedding). These results are sufficient to state that, with geometric and mechanical parameters in a range corresponding to realistic cases of large span suspension bridges, large relative oscillations between main cables and deck cannot be excluded, and therefore should not be neglected in the design. Forthcoming papers will investigate more general cases of loading and dynamic response of the model.

• Steel and Composite Structures
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• 제4권5호
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• pp.385-402
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• 2004

Nearly 400 composite railway bridge decks of a new kind belonging to the trough type with U-shaped cross section have been constructed in Belgium over the last fifteen years. The construction of these bridge decks is rather complex with the preflexion of precambered steel girders, the prestressing of a concrete slab and the addition of a 2nd phase concrete. Until now, they have been designed with a classical computation method using a pseudo-elastic analysis with modular ratios. Globally, they perform according to the expectations but variability has been observed between the measured and the computed camber of these bridge decks just after the transfer of prestressing and also at long-term. A statistical analysis of the variability of the relative difference between the measured camber and the computed camber is made for a sample of 36 bridge decks using no less than 10 variables. The most significant variables to explain this variability at prestressing are the ratio between the maximum tensile stress reached in the steel girders during the preflexion and the yield strength and the type of steel girder. For the same sample, the long-term camber under permanent loading is computed by two methods and compared with measurements taken one or two years after the construction. The camber computed by the step-by-step method shows a better agreement with the measured camber than the camber computed by the classical method. The purpose of the paper is to report on the statistical analysis which was used to determine the most significant parameters to consider in the modeling in order to improve the prediction of the behaviour of these composite railway bridge decks.

• 대한토목학회논문집
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• 제39권2호
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• pp.287-296
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• 2019

최근 지자체들이 경쟁하듯이 건설하고 있는 장경간 케이블 보도교(일명 출렁다리)는 공원 시설로 인식되어 제대로 된 검토와 설계 없이 진행되는 경우가 있다. 케이블 보도교는 기존 도로 현수교보다 훨씬 유연한 특성으로 인하여 내풍안정성 확보는 반드시 필요하며, 오히려 더 기존의 도로교보다 다양한 관점에서 상세하게 검토되어야 한다. 이에 본 연구에서는 케이블 보도교의 내풍 특성을 파악하고, 고유진동수를 추정할 수 있는 추정식을 제시하였다. 또한 경간장에 따른 플러터 풍속 추정에 대한 추세선을 제시하여 평판 거더 보도교의 내풍안정성 확보의 어려움과 그 한계를 제시하였다. 그리고 풍동실험을 통해 바닥 데크 그레이팅 적용 비율 변화를 통해 내풍안정성을 만족하는 단면을 제시하였다. 본 연구에서 제시한 방법은 향후 세장 케이블 보도교 계획시 기초 자료로 활용할 수 있을 것으로 판단된다.

• Wind and Structures
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• 제16권6호
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• pp.561-577
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• 2013

Rational Functions are used to express the self-excited aerodynamic forces acting on a flexible structure for use in time-domain flutter analysis. The Rational Function Approximation (RFA) approach involves obtaining of these Rational Functions from the frequency-dependent flutter derivatives by using an approximation. In the past, an algorithm was developed to directly extract these Rational Functions from wind tunnel section model tests in free vibration. In this paper, an algorithm is presented for direct extraction of these Rational Functions from section model tests in forced vibration. The motivation for using forced-vibration method came from the potential use of these Rational Functions to predict aerodynamic loads and response of flexible structures at high wind speeds and in turbulent wind environment. Numerical tests were performed to verify the robustness and performance of the algorithm under different noise levels that are expected in wind tunnel data. Wind tunnel tests in one degree-of-freedom (vertical/torsional) forced vibration were performed on a streamlined bridge deck section model whose Rational Functions were compared with those obtained by free vibration for the same model.

• 콘크리트학회논문집
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• 제15권4호
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• pp.625-633
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• 2003

For the construction of open-topped steel box girder bridges, prefabricated concrete slab could offer several advantages over cast-in-situ deck including good quality control, fast construction, and elimination of the formwork for concrete slab casting. However, precast decks without reinforcements at transverse joints between precast slabs should be designed to prevent the initiation of cracking at the joints, because the performance of the joint is especially crucial for the integrity of a structural system. Several prestressing methods are available to introduce proper compression at the joints, such as internal tendons, external tendons and support lowering after shear connection. In this paper, experimental results from a continuous composite bridge model with precast decks are presented. Internal tendons and external tendons were used to prevent cracking at the joints. Judging from the tests, precast decks in negative moment regions have the whole contribution to the flexural stiffness of composite section under service loads if appropriate prestressing is introduced. The validity of the calculation of a cracking load fur serviceability was presented by comparing an observed cracking load and the calculated value. Flexural behavior of the continuous composite beam with external prestressing before and after cracking was discussed by using the deflection and strain data.

• 한국전산구조공학회논문집
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• 제17권3호
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• pp.319-332
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• 2004

복합재료(FRP)는 재료적 고비강도, 고내구성 등으로 인하여 건설분야에 널리 사용되고 있어, 본 연구에서는 인발성형된 FRP 바닥판의 형상최적설계를 수행하였다. 최적설계의 정식화에서 목적함수는 단위모듈의 체적을 최소화하도록 하였으며, 설계변수는 바닥판 단면의 기하적 치수와 재료적 물성을 사용하였다. 반면 바닥판의 성능을 최대한 효율적으로 설계하기 위하여 설계 제약조건으로 처짐규정, 재료파괴 기준, 좌굴하중, 바닥판 최소두께와 응력을 사용하였다. 단면형상의 효율적 결정과 시공성을 고려하여 구조적 보조부재를 포함하지 않는 튜브 모양의 형상으로 제한하였으며, 최적화 알고리즘은 Index기법을 적용하여 수렴성을 극대화한 개선된 GAs를 사용하였다. 상용 프로그램인 ABAQUS를 사용하여 3차원 유한요소해석을 수행하였고, 구조해석 결과를 최적화 과정에 필요한 제약조건으로 활용하고, 민감도 분석을 수행하였다. 본 연구를 통하여 개발한 최적화 프로그램을 검증하기 위하여, 40m의 지간, 폭 12.14m에 주형 간격이 2.5m인 단순교를 대상으로 하였으며, 도로교 설계 기준을 만족하는 DB-24하중을 적용하였다. 복합재료의 재료로 E-glass섬유를 사용하였으며, 최적설계를 수행한 결과 인발성형공법에 의한 실용적인 단면을 제안하였다.

• Steel and Composite Structures
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• 제32권4호
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• pp.479-495
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• 2019

In tied-arch bridges, the way the arch and the deck are connected may become crucial. The deck is usually suspended from hangers made out of steel pinned cables capable of resisting axial forces only. However, a proper structural response may be ensured by fixing and stiffening the hangers in order to resist, additionally, shear forces and bending moments. Thus, this paper studies the effect of different pinned and stiffened hanger arrangements on the structural behavior of the tied-arch bridges, with the intention of providing designers with useful tools at the early steps of design. Longitudinally and transversally stiffened hangers (and the effect of hinges at the hangers and their locations) are studied separately because the in-plane and the out-of-plane behavior of the bridge are uncoupled due to its symmetry. As a major conclusion, regarding the in-plane behavior, hangers composed of cables (either with vertical, $Nielsen-L\ddot{o}hse$ or network arrangements) are recommended due to its low cost and ease of erection. Alternatively, longitudinally stiffened hangers, fixed at both ends, can be used. Regarding the out-of-plane behavior, and in addition to three-dimensional arrangements of cables, of limited effectiveness, transversally stiffened hangers fixed at both ends are the most efficient arrangement. A configuration almost as efficient and, additionally, cheaper and easier to build can be achieved by locating a hinge at the end corresponding to the most flexible structural element (normally the arch). Its efficiency is further improved if the cross-section tapers from the fixed end to the pinned end.

• 한국강구조학회 논문집
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• 제12권2호통권45호
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• pp.133-142
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• 2000

이 연구는 콘크리트 바닥판의 타설방법과 단면형태에 따른 강박스 거더 교량의 거동에 관한 것이다. 단계 타설의 경우 각 타설부분의 시간차이는 바닥판 콘크리트의 응결시간의 차이를 일으키고 이로 인하여 발생되는 교량의 시간에 따른 거동이 이 연구에서 해석되었다. 또한 거더 단면과 바닥판 콘크리트의 타설순서의 상관관계의 관한 연구를 위하여 콘크리트 크리프와 건조수축의 효과가 이 연구에서 제안된 해석모델에 포함되었다. 끝으로 바닥판 콘크리트의 초기 횡방향 균열을 방지하기 위하여 현장에서 관리할 수 있는 콘크리트 슬럼프와 상대습도가 제안되었다.

• Wind and Structures
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• 제13권3호
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• pp.293-307
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• 2010

This paper describes a new method for the estimation of six complex aerodynamic admittance functions. The aerodynamic admittance functions relate buffeting forces to the incoming wind turbulent components, of which the estimation accuracy affects the prediction accuracy of the buffeting response of long-span bridges. There should be two aerodynamic admittance functions corresponding to the longitudinal and vertical turbulent components, respectively, for each gust buffeting force. Therefore, there are six aerodynamic admittance functions in all for the three buffeting forces. Sears function is a complex theoretical expression for the aerodynamic admittance function for a thin airfoil. Similarly, the aerodynamic admittance functions for a bridge deck should also be complex functions. This paper presents a separated frequency-by-frequency method for estimating the six complex aerodynamic admittance functions. A new experimental methodology using an active turbulence generator is developed to measure simultaneously all the six complex aerodynamic admittance functions. Wind tunnel tests of a thin plate model and a streamlined bridge section model are conducted in turbulent flow. The six complex aerodynamic admittance functions, determined by the developed methodology are compared with the Sears functions and Davenport's formula.

• 콘크리트학회논문집
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• 제11권5호
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• pp.11-20
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• 1999

This paper deals with behaviors of PSC-Beam bridges according to continuity of spans. To analyze the long-term behavior of bridges, an analytical model which can simulate the effects of creep, the shrinkage of concrete, and the cracking of concrete slabs in the negative moment regions is introduced. To consider the different material properties across the sectional depth, the layer approach in which a section is divided into imaginary concrete and steel layers is adopted. The element stiffness matrix is constructed according to the assumed displacement field formulation, and the creep and shrinkage effects of concrete are considered in accordance with the first-order algorithm based on the expansion of the creep compliance. Correlation studies between analytical and experimental results are conducted with the objective to establish the validity of the proposed model. Besides, many uncertainties related to the continuity of spans are analyzed to minimize deck cracking at interior supports.