사장교의 케이블 진동저감을 위한 수동 제어시스템

황인호(Hwang Inho),이종세(Lee Jong Seh) 대한토목학회 2006 대한토목학회논문집 A Vol.26 No.5A

사장교 케이블은 구조적으로 휨강성과 감쇠력이 작아 풍우에 의해 쉽게 유해진동이 발생한다. 이러한 풍우진동을 저감시키기 위한 효과적인 방법으로 부가댐퍼를 장착하여 케이블의 감쇠력을 증가시키는 제어시스템이 널리 사용되어왔다. 그러나 사장교의 장대화로 인해 구조적으로나 미적으로 충분한 감쇠력을 제공할 수 있는 위치에 부가댐퍼를 장착하기 어렵게 되었다. 그러므로 본 논문은 사장교의 미관을 해치지 않으면서 기존의 제어시스템보다 효과적으로 케이블의 진동을 저감시킬 수 있는 새로운 개념의 제어시스템을 제안하였다. 제안된 시스템은 케이블 앵커리지에 적충고무베어링과 같은 유동이 가능한 장치와 내부댐퍼로 구성되었으며, 제어성능평가를 위해 해석모델을 개발하였다. 제안된 시스템의 제어성능 분석을 위해 수치해석을 수행하였으며 기존의 부가 댐퍼시스템과 진동 저감효과를 비교하였다. 제안된 제어시스템은 기존의 부가댐퍼 시스템 보다 효과적으로 진동을 저감시킬 수 있었으며 사장교 케이블의 풍우진동 저감을 위해 효과적인 시스템으로 사료된다. Rain-wind induced cable vibration can cause serious problems in cable-stayed bridges. Externally attached dampers have been used to provide an effective means to suppress the vibration of relatively short stay-cables. For very long stay-cables, however, such damper systems are rendered ineffective, as the dampers need to be attached near the end of cables for aesthetic reasons. This paper investigates a new control system to mitigate the cable vibration. The proposed control system which consists of a laminated rubber bearing and an internal damper may be installed inside of the cable anchorage. A simple analytical model of the cable-damper system is developed first based on the taut string representation of the cable. The response of a cable with the proposed control system is obtained and then compared to those of the cable with and without an external passive damper. The proposed stay-cable vibration control system is shown to perform better than the optimal passive viscous damper, thereby demonstrating its applicability in large cable-stayed bridges for mitigation of rain-wind induced vibration of stay-cables.

케이블교량의 비선형해석을 위한 탄성현수선 및 탄성포물선 케이블요소의 비교연구

송요한(Song,Yo Han ),김문영(Kim,Moon Young) 대한토목학회 2011 대한토목학회논문집 A Vol.31 No.5A

케이블구조의 기하학적 비선형해석을 위한 탄성포물선 케이블요소를 제시한다. 이를 위하여 먼저 탄성현수선 케이블요소에 대한 적합조건과 접선강도행렬 유도과정을 간략히 요약한다. 이를 토대로 장력이 충분히 도입되어 자중에 의한 처짐 형상이 포물선에 가깝다는 가정 하에서 무응력길이를 포함하는 탄성포물선 케이블요소의 비선형 힘-변형관계식과 접선강도행렬을 유도한다. 또한 현(chord) 방향으로 두 케이블요소의 등가 공칭장력식을 정의한다. 탄성포물선 케이블요소의 수치적인 정확성을 확인하기 위하여, 경사진 케이블을 한 개의 탄성현수선과 탄성포물선 케이블요소로 각각 모델링하여 매개변수 해석을 수행하고 비교, 분석한 결과를 제시한다. 제시된 탄성포물선요소는 충분한 정확도를 가지고 케이블지지 구조물의 초기치해석 및 기하비선형해석에 효과적으로 적용할 수 있을 것으로 판단된다. This study introduces an elastic parabolic cable element for initial shaping analysis of cable-supported structures. First, an elastic catenary cable theory is shortly summarized by deriving the compatibility condition and the tangent stiffness matrices of the elastic catenary cable element. Next, the force-deformation relations and the tangent stiffness matrices of the elastic parabolic cable elements are derived and discussed under the assumption that sag configuration under self-weights is small. In addition the equivalent cable tension is defined in the chord-wise direction. Finally, to demonstrate the accuracy of the elastic parabolic cable element, nonlinear relationships of nominal cable tension-chord length and nominal cable tension-tangential stiffness for a single element are presented and compared with results using an elastic catenary cable theory as the slope is varied.

Cable vibration control with internal and external dampers: Theoretical analysis and field test validation

Fangdian Di,Limin Sun,Lin Chen 국제구조공학회 2020 Smart Structures and Systems, An International Jou Vol.26 No.5

For vibration control of stay cables in cable-stayed bridges, viscous dampers are frequently used, and they are regularly installed between the cable and the bridge deck. In practice, neoprene rubber bushings (or of other types) are also widely installed inside the cable guide pipe, mainly for reducing the bending stresses of the cable near its anchorages. Therefore, it is important to understand the effect of the bushings on the performance of the external damper. Besides, for long cables, external dampers installed at a single position near a cable end can no longer provide enough damping due to the sag effect and the limited installation distance. It is thus of interest to improve cable damping by additionally installing dampers inside the guide pipe. This paper hence studies the combined effects of an external damper and an internal damper (which can also model the bushings) on a stay cable. The internal damper is assumed to be a High Damping Rubber (HDR) damper, and the external damper is considered to be a viscous damper with intrinsic stiffness, and the cable sag is also considered. Both the cases when the two dampers are installed close to one cable end and respectively close to the two cable ends are studied. Asymptotic design formulas are derived for both cases considering that the dampers are close to the cable ends. It is shown that when the two dampers are placed close to different cable ends, their combined damping effects are approximately the sum of their separate contributions, regardless of small cable sag and damper intrinsic stiffness. When the two dampers are installed close to the same end, maximum damping that can be achieved by the external damper is generally degraded, regardless of properties of the HDR damper. Field tests on an existing cable-stayed bridge have further validated the influence of the internal damper on the performance of the external damper. The results suggest that the HDR is optimally placed in the guide pipe of the cable-pylon anchorage when installing viscous dampers at one position is insufficient. When an HDR damper or the bushing has to be installed near the external damper, their combined damping effects need to be evaluated using the presented methods.

Disproportionate Collapse Analysis of Cable-stayed Steel Roofs for Cable Loss

S. Gerasimidis,C.C. Baniotopoulos 한국강구조학회 2011 International Journal of Steel Structures Vol.11 No.1

Disproportionate collapse has been identified lately as a real cause of failure for structural engineering projects. Rare and unexpected, the phenomenon of disproportionate collapse usually results to many fatalities and thus, its analysis and mitigation is deemed necessary. This work describes the analysis of a cable-stayed steel roof under the scenario of a cable loss. The event of a cable loss is assumed to be brittle, while relevant recent recommendations suggest the application of a scaled equivalent static force at the points of the anchorage of the cable but in the opposite direction of the original cable force. In this paper,three different conditions have been considered in order to study the effect of the cable loss into the overall structural response of a typical cable-stayed roof; the level of the equivalent nodal load in the opposite direction of the original cable force varies. The steel structure of the roof, in its complexity, closer to responding as a cable-stayed bridge rather than a steel roof provides a useful template for conclusions; several topics regarding disproportionate collapse and cable losses are discussed.

Structural behavior of the suspen-dome structures and the cable dome structures with sliding cable joints

Hongbo Liu,Zhihua Chen 국제구조공학회 2012 Structural Engineering and Mechanics, An Int'l Jou Vol.43 No.1

Sliding cable joints have been developed for the cable dome structures and the suspen-dome structures to reduce the cable pre-stressing loss and obtain a uniform inner force in each hoop cable. However, the relevant investigation is less addressed on the structural behavior of the cable dome structures and the suspen-dome structures with sliding cable joints due to the lack of analysis techniques. In this paper, a closed sliding polygonal cable element was established to analyze the structural behavior of the cable dome structures and the suspen-dome structures with sliding cable joints. The structural behaviors with sliding cable joints were obtained.

Structural behavior of the suspen-dome structures and the cable dome structures with sliding cable joints

Liu, Hongbo,Chen, Zhihua Techno-Press 2012 Structural Engineering and Mechanics, An Int'l Jou Vol.43 No.1

Sliding cable joints have been developed for the cable dome structures and the suspen-dome structures to reduce the cable pre-stressing loss and obtain a uniform inner force in each hoop cable. However, the relevant investigation is less addressed on the structural behavior of the cable dome structures and the suspen-dome structures with sliding cable joints due to the lack of analysis techniques. In this paper, a closed sliding polygonal cable element was established to analyze the structural behavior of the cable dome structures and the suspen-dome structures with sliding cable joints. The structural behaviors with sliding cable joints were obtained.

전선의 허용곡률반경과 턴(TURN)에 따른 발화 가능성 연구

김정태,이종권,안인출,김태일,한동연,허욱 한국화재감식학회 2022 한국화재감식학회 학회지 Vol.13 No.3

In this paper, two tests were performed using the commonly used HFIX(1.5SQ) cable for the purpose of analyzing the impact of a cable’s Cable Bend Radius and Turn on fire risk. In each test, 14A and 16A stationary electrical currents without a functioning molded case circuit breaker (MCCB) were applied respectively for 180 seconds, and then an infrared camera was used to verify the temperature characteristics and the ignition probability. The results of the tests showed that the Cable Bend Radius, within the scope of not causing physical damage to the copper wire or the cable sheath, did not have meaningful impact upon thermal accumulation. For the Turn however, there was a linear increase in the temperature of the cable even within the range of allowable current of the cable as the number of Turn increased, verifying the risk of fire from the cable sheath. Therefore, to minimize the risk of cable fires, the cable must be correctly used at all times and constant preventive actions through maintenance including regular inspection and repairs are needed.

Influence of lateral motion of cable stays on cable-stayed bridges

Wang, P.H.,Liu, M.Y.,Huang, Y.T.,Lin, L.C. Techno-Press 2010 Structural Engineering and Mechanics, An Int'l Jou Vol.34 No.6

The aim of this paper concerns with the nonlinear analysis of cable-stayed bridges including the vibration effect of cable stays. Two models for the cable stay system are built up in the study. One is the OECS (one element cable system) model in which one single element per cable stay is used and the other is MECS (multi-elements cable system) model, where multi-elements per cable stay are used. A finite element computation procedure has been set up for the nonlinear analysis of such kind of structures. For shape finding of the cable-stayed bridge with MECS model, an efficient computation procedure is presented by using the two-loop iteration method (equilibrium iteration and shape iteration) with help of the catenary function method to discretize each single cable stay. After the convergent initial shape of the bridge is found, further analysis can then be performed. The structural behaviors of cable-stayed bridges influenced by the cable lateral motion will be examined here detailedly, such as the static deflection, the natural frequencies and modes, and the dynamic responses induced by seismic loading. The results show that the MECS model offers the real shape of cable stays in the initial shape, and all the natural frequencies and modes of the bridge including global modes and local modes. The global mode of the bridge consists of coupled girder, tower and cable stays motion and is a coupled mode, while the local mode exhibits only the motion of cable stays and is uncoupled with girder and tower. The OECS model can only offers global mode of tower and girder without any motion of cable stays, because each cable stay is represented by a single straight cable (or truss) element. In the nonlinear seismic analysis, only the MECS model can offer the lateral displacement response of cable stays and the axial force variation in cable stays. The responses of towers and girders of the bridge determined by both OECS- and MECS-models have no great difference.

온도변화에 따른 사장교 케이블 고유진동수 분석

이현철 ( Hyun-chol Lee ),김진수 ( Jin-soo Kim ),박경호 ( Kyoung-ho Park ),이종재 ( Jong-jae Lee ) 한국구조물진단유지관리공학회 2021 한국구조물진단유지관리공학회 논문집 Vol.25 No.2

최근 국내외 사용빈도가 높고 향후 건설계획이 많은 사장교의 주부재인 케이블을 대상으로 하였다. 우선 케이블의 온도 변화와 대기온도 변화 등으로 영구적으로 사용되는 온도하중에 대해 보통지방의 온도변화를 고려하여 실험을 수행하였다. 케이블의 온도변화를 가하여 동적특성의 변화를 여러 가지 시스템을 적용하여 케이블의 동적특성을 비교 분석하였다. 케이블의 동적특성을 비교분석한 결과 온도상승에 따른 케이블의 가속도, 고유진동수 및 장력은 감소하는 경향이 뚜렷하였으며 케이블의 변위의 영향정도를 분석하였으며 케이블의 모드특성에 대한 결과를 분석하였다. 특히 케이블의 온도변화에 따른 케이블의 가속도, 고유진동수 및 장력에 대해 상관관계를 분석한 결과 가속도 및 고유진동수 대비 케이블 장력의 민감도가 큰 것으로 나타났다. Cable was targeted for cable, which is a main material of cable-stayed bridges that have high frequency of use at home and abroad and many future construction plans. First of all, experiments were conducted on temperature loads that were permanently used due to changes in temperature of cables and changes in air temperature, taking into account changes in normal fat. The dynamic characteristics of cables were compared and analyzed by applying various systems to change dynamic characteristics by applying temperature change of cables. Comparing and analyzing the dynamic characteristics of cables, the acceleration, frequency and tension of cables due to temperature rise tended to decrease, the degree of influence of displacement of cables was analyzed, and the results of the mode characteristics of cables were analyzed. In particular, the correlation of cable acceleration, natural frequency, and tension due to changes in cable temperature showed that the cable tension is highly sensitive to acceleration and natural frequency.

Sag가 고려된 사장교 케이블의 진동저감을 위한 Movable Anchorage 시스템

황인호(Hwang Inho),박준형(Park Jun Hyung),이종세(Lee Jong Seh) 대한토목학회 2008 대한토목학회논문집 A Vol.28 No.5A

사장교 케이블은 구조적으로 휨강성과 감쇠력이 작아 풍우에 의해 쉽게 유해진동이 발생한다. 이러한 풍우진동을 저감시키기 위한 효과적인 방법으로 부가댐퍼를 장착하여 케이블의 감쇠력을 증가시키는 제어시스템이 널리 시용되어왔다. 그러나 사장교의 장대화로 인해 구조적으로나 미적으로 충분한 감쇠력을 제공할 수 있는 위치에 부가댐퍼를 장착하기 어렵게 되었다. 최근 본 저지는 사장교의 미관을 해치지 않으면서 기존의 제어시스템보다 효과적으로 케이블의 진동을 저감시킬 수 있는 새로운 개념의 사장교 케이블 진동 제어시스템을 제안하였다. 본 논문에서는 기존의 연구를 확장하여 새그(Sag)를 고려한 Movable anchorage 시스템을 제안하였으며, 수치해석을 통한 제어성능을 평가하였다. 수치해석의 결과 제안된 시스템은 새그를 고려하였을 때에도 고려하지 않은 경우와 마찬가지로 베어링장치의 강성이 작을수록 기존의 비감쇠 시스템이나 일반적인 수동제어시스템보다 훨씬 좋은 성능을 나타내었다. 제안된 시스템에 있어서 최적의 제어성능을 제공하기 위해서는 새그의 크기를 고려해서 최적의 감쇠계수를 결정해야 할 것으로 사료된다. Rain-wind induced cable vibration can cause the damages in the cable-stayed bridge due to very little inherent damping characteristics and low fundamental frequency. External Dampers attached to stay cables near anchorages have been shown to be effective means at short stay-cables. However, installation locations of external dampers are limited to a particular range due to aesthetic and practical reasons for very long stay-cables. A recent study by the authors showed that the stay-cable vibration system can perform better than the optimal passive viscous damper, thereby demonstrating its applicability in large cable-stayed bridges. This paper extends the previous study on the taut string representation of the cable by adding cable sag and inclination. The response of the proposed system compared to those of the cable with and without an external damper, and the movable anchorage system provides very effective mitigation of cable vibration. Cable damping ratio is seen to be remarkably reduced by movable anchorage system for a wide range of cable sag. This result shows that the sag effects of the proposed system should be considered.