사장교 케이블장력 계측장치의 현장적용성 분석

이현철(Hyun-Chol Lee) 한국산학기술학회 2021 한국산학기술학회논문지 Vol.22 No.4

본 연구에서는 사장교 케이블에 대한 장력계측장치의 현장적용성에 대한 실험을 수행하였다. 사장교 케이블의 장력을 추정하기 위해서 진동법을 이용하였으며 대상교량에 대해서 케이블의 가진을 통해서 모드특성을 분석하였고 케이블의 장력을 추정하기 위한 계측장치로는 GTDL360, NI Module, 9 Axes Motion Sensor등을 적용하였고 5개의 대상교량에 대해서 상기 계측장치들을 이용하여 케이블의 모드특성을 분석하여 케이블장력측정실험의 적정성을 평가하고 케이블의 장력을 추정하였다. 또한 5개의 대상교량에 대해서 수치해석을 실시하여 케이블의 고유진동수 및 케이블장력을 해석하였다. 현장 계측결과에 의한 케이블의 추정장력과 수치해석에 의한 케이블의 추정장력을 비교하여 현장계측방법의 적정성을 판단하였으며 분석결과 현장 계측에 의한 케이블의 계측장력과 해석에 의한 추정장력은 오차범위내에 있어서 상기 계측장치들을 현장에 적용하여도 무방할 것으로 판단된다. 현장실증교량의 가속도 기반의 케이블 추정장력과 수치해석에 의한 해석장력과의 값을 비교분석한 결과 값이 허용범위 내로 가속도 기반의 케이블 추정장력값은 적정한 것으로 판단된다. 또한, 현장적용성 분석결과 센서의 설치위치 및 기상조건의 제한 등 계측장치의 한계점이 존재하므로 추후 케이블 스마트 장력계측시스템에 관한 지속적인 후속연구가 필요할 것으로 판단된다. In this study, an experiment was carried out on the field applicability of tension measuring devices of the cables in cable-stayed bridges. The vibration method was used to estimate the tension of cables of cable-stayed bridge, and the mode characteristics of the cable were analyzed using a cable tension measuring device. GTDL360, NI Module, and 9 Axes Motion Sensorwere applied to estimate the cable tension of five target bridges. Numerical analysis of the five target bridges was conducted to analyze the natural frequency of the cable and cable tension. The estimated tension of the cable based on field measurements and estimated tension of cable by numerical analysis were compared with the estimated tension of the cable based on field measurements. The analysis showed that the measured tension of the cable based on field measurements was within the margin of error. Therefore, it is safe to apply these measuring devices to the site. As a result of comparing and analyzing the values of the acceleration-based cable estimation tension and numerical analysis of the field demonstration bridge, the acceleration-based cable estimation of tension is deemed appropriate within the allowable range. On-site applicability analysis revealed limitations of the measuring devices, such as the installation location of sensors and weather conditions, so continuous follow-up research on smart cable tension measuring systems is expected.

An Adjustment Technique for Tensions in the Cables of Concrete Cable-Stayed Bridges considering the Effect of Cable-Girder Temperature Difference

Niu-Jing Ma,Li-Xiong Gu,Chang-Li Peng 대한토목학회 2021 KSCE JOURNAL OF CIVIL ENGINEERING Vol.25 No.5

To make sure the tension adjustment in the cables of concrete cable-stayed bridges is conducted successfully, a new adjustment technique for the tension adjustment is presented, with the cable-girder temperature difference taken into account. The tensions are measured via frequency method. Prior to the tension adjustment, tensions and temperatures of all cables and girders are measured when the ambient temperature is stable, and this set of tensions is taken as reference tensions. During the tension adjustment, the relative variable quantities of the tensions are regarded as the control values, while the vertical displacement in the mid-span section of the main span is regarded as the verification value. After each pair of cables is adjusted, it is required to measure the temperatures of cables and girders as well as the vertical displacement variation in the mid-span section of the main span. To guarantee the structural behavior of entire bridge is controlled, at one-third cable points, two-third cable points and the farthest cable points, the frequencies of each pair of cables as well as the temperatures of each pair of cables and girders should be measured so as to recalculate the cable tensions. After that, these cable tensions are compared with the theoretical ones to ensure the structural behavior of entire bridge in control. Finally, Furong bridge, a concrete cable-stayed bridge with double inclined pylons, is taken as a sample application of this proposed technique. The results of cable tensions in this bridge illustrate the new adjustment technique is both accurate and efficient.

Unsupervised one-class classification for condition assessment of bridge cables using Bayesian factor analysis

Lingfang Li,Xiaoyou Wang,Wei Tian,Yao Du,Rong-rong Hou,Yong Xia 국제구조공학회 2022 Smart Structures and Systems, An International Jou Vol.29 No.1

Cables are critical components of cable-stayed bridges. A structural health monitoring system provides real-time cable tension recording for cable health monitoring. However, the measurement data involve multiple sources of variability, i.e., varying environmental and operational factors, which increase the complexity of cable condition monitoring. In this study, a one-class classification method is developed for cable condition assessment using Bayesian factor analysis (FA). The singlepeaked vehicle-induced cable tension is assumed to be relevant to vehicle positions and weights. The Bayesian FA is adopted to establish the correlation model between cable tensions and vehicles. Vehicle weights are assumed to be latent variables and the influences of different transverse positions are quantified by coefficient parameters. The Bayesian theorem is employed to estimate the parameters and variables automatically, and the damage index is defined on the basis of the well-trained model. The proposed method is applied to one cable-stayed bridge for cable damage detection. Significant deviations of the damage indices of Cable SJS11 were observed, indicating a damaged condition in 2011. This study develops a novel method to evaluate the health condition of individual cable using the FA in the Bayesian framework. Only vehicle-induced cable tensions are used and there is no need to monitor the vehicles. The entire process, including the data pre-processing, model training and damage index calculation of one cable, takes only 35 s, which is highly efficient.

진동법을 이용한 사장교의 시공 중 장력 평가

조수진 ( Soo Jin Cho ),윤정방 ( Chung Bang Yun ),심성한 ( Sung Han Sim ) 한국안전학회(구 한국산업안전학회) 2014 한국안전학회지 Vol.29 No.2

When a cable-stayed bridge is under construction, the cable tension that changes according to the construction phase is the index indicating the proper construction management. In this study, the vibration method using the least square estimation has been implemented to monitor changing tensions of two multi-strand cables of a cable-stayed bridge under construction. The test bridge is Hwamyung Bridge in Korea with a prestressed concrete box girder. The field tests are executed during the second tensioning stage just after the installation of the key segment. The tensions of two cables are measured before and after the tensioning and 5 days later (i.e., after finishing the tensioning of all cables). The accuracy of the estimated tensions by the vibration method has been improved by employing proper effective lengths of the cables. The measured tensions are compared with the result of the lift off tests and design tensions. The vibration method shows very good performance in monitoring the changing tensions according to the construction phase with minimal error.

Experimental Study and Fine-Tuned Simulation of Cable-Joint Pair Slipping in the Cable-Supported Structure

Renzhang Yan,Chunling Yan,Shuai Wang,Chongsheng Cheng,Ting Liu,Hongbo Liu 한국강구조학회 2023 International Journal of Steel Structures Vol.23 No.1

During the tensioning process of the cable-supported structure, the sliding friction between cable wires and joint will have a great influence on the mechanical properties of the structure. However, due to the complex structure of the cable and the combined action of bending deformation and large pre-tension at the cable-strut joint, it is difficult to accurately determine the coefficient of sliding friction (CSF) between cable wires and joint, and thus the overall mechanical properties of the structure cannot be accurately evaluated. Based on the twisting characteristics of the cable, this paper establishes a friction-slip test model and a refined numerical model to carry out detailed study of the mechanical behavior of contact between cable wires and joint during the tensioning process. Firstly, combined with the calculation results of contact mechanics, it is finds that the stress distribution at straight and curved sections of the cable are non-uniform along its axis and each cross section, and the non-uniformity coefficient of the internal force distribution of the cable is further quantified. At the same time, the local bending of the cable will intensify the uneven stress distribution in the circumferential direction of the cable. The non-uniformity of stress reveals the contact working mechanism of the cable-joint pair. Then, the change of the prestress loss between cable wires and joint with the tensioning process is analyzed, and the parametric analysis is conducted to reveal the effect of the cable included angle, tensile force, and lay length on the CSF. The results find that the prestress loss increases approximately linearly with the increase of tension force and decreases with the increase of the cable included angle, but the CSF is less affected by the lay length during the tensioning process. Finally, a method for valuing the CSF of the cable-supported structure is developed.

현수교 행어케이블의 장력 추정을 위한 직접탐색법 기반의 역해석 기법의 적용

김진수,박재봉,박광림,박동욱,김성완 한국구조물진단유지관리공학회 2023 한국구조물진단유지관리공학회 논문집 Vol.27 No.5

행어케이블의 장력은 현수교의 건전성과 안전성을 확인할 수 있는 주요 응답 중 하나이다. 일반적으로 공용 중인 현수교에서 행어케이블의 장력을 추정하기 위해 진동법이 주로 사용되고 있다. 진동법은 행어케이블에서 고유진동수들을 측정하고 행어케이블의 형상 조건을이용하여 간접적으로 장력을 추정하는 방법이다. 이 연구에서는 영상계측시스템을 이용하여 팔영대교의 행어케이블에 대하여 장력을 추정하였다. 영상계측시스템은 측정의 편의성과 경제성을 고려하여 디지털 캠코더와 삼각대를 사용하였다. 영상계측시스템을 이용하여 측정된 행어케이블의 응답은 변위 기반이므로 진동법을 적용하기 위한 고차모드의 고유진동수는 측정하기 어려울 수 있다. 이 연구에서는 저차모드의 고유진동수를 이용하여 장력을 추정할 수 있는 역해석 기법을 적용하였다. 역해석 기법은 현장에서 측정된 행어케이블의 고유진동수들과 유한요소해석을 이용하여 산정된 고유진동수들의 오차를 목적함수로 정의하여 최적화를 수행하였다. 최적화 방법은 목적함수의 편미분이 필요 없는 직접탐색법을 적용하였다. 역해석 기법을 이용하여 산정된 장력과 진동법을 이용하여 추정된 장력을 비교 분석하여 역해석 기법에 대한 신뢰도와정확도를 확인하였다. 그 결과 역해석 기법을 적용하면 저차모드의 고유진동수를 이용하여도 신뢰성 있는 장력의 추정이 가능하였다. Hanger cable tension is a major response that can determine the integrity and safety of suspension bridges. In general, the vibration method is used to estimate hanger cable tension on operational suspension bridges. It measures natural frequencies from hanger cables and indirectly estimates tension using the geometry conditions of the hanger cables. This study estimated the hanger cable tension of the Palyeong Bridge using a vision-based system. The vision-based system used digital camcorders and tripods considering the convenience and economic efficiency of measurement. Measuring the natural frequencies for high-order modes required for the vibration method is difficult because the hanger cable response measured using the vision-based system is displacement-based. Therefore, this study proposed a back analysis technique for estimating tension using the natural frequencies of low-order modes. Optimization for the back analysis technique was performed by defining the difference between the natural frequencies of hanger cables measured in the field and those calculated using finite element analysis as the objective function. The direct search method that does not require the partial derivatives of the objective function was applied as the optimization method. The reliability and accuracy of the back analysis technique were verified by comparing the tension calculated using the method with that estimated using the vibration method. Tension was accurately estimated using the natural frequencies of low-order modes by applying the back analysis technique.

Frequency-based tension assessment of an inclined cable with complex boundary conditions using the PSO algorithm

Wen-ming Zhang,Zhi-wei Wang,Dan-dian Feng,Zhao Liu 국제구조공학회 2021 Structural Engineering and Mechanics, An Int'l Jou Vol.79 No.5

The frequency-based method is the most commonly used method for measuring cable tension. However, the calculation formulas for the conventional frequency-based method are generally based on the ideally hinged or fixed boundary conditions without a comprehensive consideration of the inclination angle, sag-extensibility, and flexural stiffness of cables, leading to a significant error in cable tension identification. This study aimed to propose a frequency-based method of cable tension identification considering the complex boundary conditions at the two ends of cables using the particle swarm optimization (PSO) algorithm. First, the refined stay cable model was established considering the inclination angle, flexural stiffness, and sag-extensibility, as well as the rotational constraint stiffness and lateral support stiffness for the unknown boundaries of cables. The vibration mode equation of the stay cable model was discretized and solved using the finite difference method. Then, a multiparameter identification method based on the PSO algorithm was proposed. This method was able to identify the tension, flexural stiffness, axial stiffness, boundary rotational constraint stiffness, and boundary lateral support stiffness according to the measured multiorder frequencies in a synchronous manner. The feasibility and accuracy of this method were validated through numerical cases. Finally, the proposed approach was applied to the tension identification of the anchor span strands of a suspension bridge (Jindong Bridge) in China. The results of cable tension identification using the proposed method and the existing methods discussed in previous studies were compared with the on-site pressure ring measurement results. The comparison showed that the proposed approach had a high accuracy in cable tension identification. Moreover, the synchronous identification of the flexural stiffness, axial stiffness, boundary rotational constraint stiffness, and boundary lateral support stiffness was highly beneficial in improving the results of cable tension identification.

사장재 케이블 형태를 이용하여 케이블 장력을 추정하는 영상기반 방법

김진수,박재봉,이덕근,박동욱,김성완 한국구조물진단유지관리공학회 2024 한국구조물진단유지관리공학회 논문집 Vol.28 No.1

건설 기술과 해석 도구의 발전으로 인해 최근에는 점점 더 많은 사장교가 설계되고 건설되었다. 케이블은 사장교의 주요한 하중을전달하는 부재이며 일반적으로 전체 교량 시스템의 상태를 반영하는 데 가장 중요한 역할을 한다. 이 연구에서는 원거리에 위치한 사장재 케이블의 장력을 추정하기 위하여 영상기반 방법을 적용하였다. 영상기반 방법을 이용하여 케이블의 응답을 측정하기 위해서는 케이블에 특이점또는 타겟의 설치가 필요하다. 그러나 측정하고자 하는 지점의 위치에 따라 케이블에 특이점이 존재하지 않을 수 있으며 또한 케이블에 타겟의설치가 어려울 수 있는 한계가 존재한다. 따라서 기존의 영상기반 방법의 한계를 극복하여 케이블 응답을 측정하는 방법이 필요하다. 이 연구에서는 케이블 형태의 특징을 이용하여 케이블 응답을 측정하는 방법을 제시하였다. 제시된 방법은 획득된 이미지에서 케이블 형태를 추출하였으며 추출된 케이블 형태의 중심을 산정하여 케이블 응답을 측정하였다. 측정된 응답을 이용하여 진동모드에 대한 고유진동수들을 추출하였으며 진동법에 적용하여 장력을 추정하였다. 영상기반 방법의 신뢰성을 확인하기 위해 공용 중인 화태대교에서 케이블 이미지를 상시진동조건에서 획득하였다. 영상기반 방법을 이용하여 진동법에 적용하여 추정된 장력은 가속도 센서를 이용하여 추정된 장력과 1% 이내의 오차로이 연구에서 제시된 방법의 신뢰성을 확인할 수 있었다. Due to advancements in construction technology and analytical tools, an increasing number of cable-stayed bridges have been designed and constructed in recent years. A cable is a structural element that primarily transmits the main load of a cable-stayed bridge and plays the most crucial role in reflecting the overall condition of the entire bridge system. In this study, a vision-based method was applied to estimate the tension of the stay cables located at a long distance. To measure the response of a cable using a vision-based method, it is necessary to install feature points or targets on the cable. However, depending on the location of the point to be measured, there may be no feature points in the cable, and there may also be limitations in installing the target on the cable. Hence, it is necessary to find a way to measure cable response that overcomes the limitations of existing vision-based methods. This study proposes a method for measuring cable responses by utilizing the characteristics of cable shape. The proposed method involved extracting the cable shape from the acquired image and determining the center of the extracted cable shape to measure the cable response. The extracted natural frequencies of the vibration mode were obtained using the measured responses, and the tension was estimated by applying them to the vibration method. To verify the reliability of the vision-based method, cable images were obtained from the Hwatae Bridge in service under ambient vibration conditions. The reliability of the method proposed in this study was confirmed by applying it to the vibration method using a vision-based approach, resulting in estimated tensions with an error of less than 1% compared to tensions estimated using an accelerometer.

역해석기법을 이용한 행어케이블의 장력 추정

김남식,박동욱,박용명,정진환 한국지진공학회 2007 한국지진공학회논문집 Vol.11 No.3

현수교 행어케이블의 장력은 현수교의 상태점검에 있어 중요한 요소이다. 현재 케이블의 장력 추정에는 여러 이론식에 의한 간접적인 방법들이 사용되고 있으며, 케이블의 가속도신호로부터 고유진동수를 측정한 후 고유진동수와 장력과의 관계로부터 케이블의 장력을 추정하는 진동법이 대표적이다. 하지만 운동방정식을 기반으로 하는 진동법은 휨강성의 영향이 큰 짧은 케이블의 장력추정에는 적합하지 않다. 본 논문에서는 10m 미만의 짧은 케이블에 대해서도 전기 가능한 새로운 장력 추정 방법으로 단변분탐색법과, 최적화 기법을 이용한 역해석 기법을 제시하였다. 이론에 대한 검증을 위해 국내에 사용 중인 광안대교 행어케이블을 대상으로, 역해석과 진동법에 의한 추정장력들과 설계장력을 상호 비교하였고, 이를 통해 역해석기법이 길이에 상관없이 장력추정에 유용하다는 결론을 얻었다. In general, the tension forces of hanger cable in suspension bridges play an important role in evaluating the bridge conditions. The vibration method, as a conventional one, has been widely applied to estimate the tension forces by using the measured frequencies on hanger cables. However, the vibration method is not applicable to short hanger cables because the fiequencies of short cables are severely sensitive to flexural rigidity. Thus, in this study, the tension forces of short hanger cables, of which the length is shorter than 10 meters, were estimated through back analysis of the cable fiequencies measured from Gwang-An suspension bridge in Korea. Direct approach to back 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.

EM센서를 이용한 1860MPa 및 2200MPa 고강도 강연선 도입장력 측정모델에 관한 실험

박원태 ( Park Weon Tae ),천경식 ( Chun Kyoung Sik ),송수용 ( Song Su Yong ) 한국복합신소재구조학회 2016 복합신소재구조학회논문집 Vol.7 No.4

Measuring the exact cable tension force is important to cable supported bridge under construction and on service. This study was planned to propose EM(electro-magnetic) sensor-based method for measuring the tension force of MS(multi-strand) cable in cable-stayed and extradosed bridge. The tension force in each strand is the same due to MS cable construction using Iso-tensioning system. Therefore, In this prosed method, EM sensor was installed directly at a strand and the measurement model was established for estimating the tension force of strand via EM sensor by experiments. The measurement model was derived from the relation of tension force and magnetic permeability. Also, the magnetic permeability is shown to be different according to the magnetization characteristic of 1860MPa and 2200MPa high-strength strand. The difference is increased as tension force increases. Additional experiment was conducted to verify the measurement model. As a result, the distribution of strand tension calculated upon the EM sensor is similar to those of tension measured by load cell. This proposed approach can be an effective tool for monitoring and measuring the cable force of MS cable.