• 한국강구조학회 논문집
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• 제14권6호
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• pp.755-763
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• 2002

미국 중부 및 동남부에 위치한 많은 교량의 형식은 강거더와 콘트리트 슬래브의 복합 상부구조를 가지는 교량으로, 이들은 주로 라커베어링에 의해 상부구조가 지지 되어있다. 지진해석에서 이동식 라커베어링은 롤러나 마찰력으로 모델링 되는 것이 일반적이다. 그러나, 라커베이링은 일정 거리를 움직인 후 핀틀에 의해서 락킹되고, 이는 교량의 지진거동에 상당한 영향을 주리라고 판단된다. 본 연구는 이동식 라커베어링의 모델형식(롤러, 마찰력, 마찰력과 하드닝, 그리고 마찰력과 락킹)에 따른 다경간 단순지지 및 연속교에서의 지진거동을 고찰하였다. 락킹모델은 급격한 강성의 변화를 나타내는 요소를 포함하고 있어, 시간이력해석에서 발산의 위험이 있으므로 사용성이 떨어진다. 반면, 롤러나 마찰력은 모델이 간단하여 사용이 간편하고 수렴의 문제가 없으나, 지나치게 큰 지진응답을 발생할 우려가 있다. 본 연구의 목적은 이동식 라커베어링의 간단한 세 모델 중, 어느 모델이 실제에 가장 가까운 마찰력+락킹 모델에 유사한 응답을 발생시키는가를 살펴보고자 하는데 있다. 롤러모델은 락킹모델에 비해 큰 값을 나타내므로, 사용하는 것이 바랍직하지 않다. 마찰모델은 약한 지진운동에서 상부구조의 변위가 작아 라커베어링에 락킹현상이 발생하지 않을 때 적합하다. 중 또는 강진운동에서는 락킹현상이 발생하므로, 마찰력과 하드닝을 고려한 모델이 실제 응답에 가장 유사한 것으로 판단되었다.

• 대한조선학회지
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• 제13권1호
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• pp.17-23
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• 1976

Some methods of analysis of rectangular plates under distributed load of various intensity with interior supports are presented herein. Analysis of many structures such as bottom, side shell, and deck plate of ship hull and flat slab, with or without internal supports, Floor systems of bridges, included crthotropic bridges is a problem of plate with elastic supports or continuous edges. When the four edges of rectangular plate is simply supported, the double Fourier series solution developed by Navier can represent an exact result of this problem. If two opposite edges are simply supported, Levy's method is available to give an "exact" solution. When the loading condition and supporting condition of a plate does not fall into these cases, no simple analytic method seems to be feasible. Analysis of a simply supported rectangular plate under irregularly distributed loads of various intensity with internal supports is carried out by applying Navier solution well as the "Principle of Superposition." Finite difference technique is used to solve plates under irregularly distributed loads of various intensity with internal supports and with various boundary conditions. When finite difference technique is applied to the Lagrange's plate bending equation, any of fourth order derivative term in this equation produces at least five pivotal points leading to some troubles when the resulting linear algebraic equations are to be solved. This problem was solved by reducing the order of the derivatives to two: the fourth order partial differential equation with one dependent variable, namely deflection, is changed to an equivalent pair of second order partial differential equations with two dependent variables. Finite difference technique is then applied to transform these equations to a set of simultaneous linear algebraic equations. Principle of Superposition is then applied to handle the problems caused by concentrated loads and interior supports. This method can be used for the cases of plates under irregularly distributed loads of various intensity with arbitrary conditions such as elastic supports, or continuous edges with or without interior supports, and this method can also be solve the influence values of deflection, moment and etc. at arbitrary position of plates under the live load.

• Structural Engineering and Mechanics
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• 제62권2호
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• pp.179-196
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• 2017

The paper focuses on dynamic analyses of a series of simply-supported symmetric composite steel-concrete bridges loaded by an ICE-3 train moving at high speeds up to 300 km/h. The series includes five bridges with span lengths ranging from 15 m to 27 m, with repeatable geometry of the superstructures. The objects, designed according to Polish standards valid from 1980s to 2010, are modelled on the bridges serviced on the Central Main Line in Poland since 1980s. The advanced, two-dimensional, physically nonlinear model of the bridge-track structure-high-speed train system takes into account unilateral nonlinear wheel-rail contact according to Hertz's theory and random vertical track irregularities equal for both rails. The analyses are focused on the influence of random track irregularities on dynamic response of composite steel-concrete bridges loaded by an ICE-3 train. It has been pointed out that certain restrictions on the train speed and on vertical track irregularities should be imposed.

• Composites Research
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• 제12권4호
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• pp.33-41
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• 1999

이 논문에서는 첨가질량이 있거나 없는 구조요소에 대한 간편하고 정확한 진동해석 방법이 주어진다. 사용된 방법은 1974년 Kim, D. H.에 의해 개발되었다. 이 방법은 변단면과 다양한 경계조건을 갖는 판에 매우 효과적이다. 이 방법은 양단단순-타단자유를 갖는 특별직교이방성 적층복합판에 대해 적용되었다. 이러한 판은 콘크리트 거더-가로보 시스템을 포함하는 단순 지지된 교량상판의 대부분을 나타낸다. 쉬운 이해를 위해 상세한 실예가 보와판에 대해 주어졌다.

• Steel and Composite Structures
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• 제31권6호
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• pp.591-600
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• 2019

Based on the energy-variational principle, a coupling vibration analysis model of high-speed railway simply supported beam bridge-track structure system (HSRBTS) was established by considering the effect of shear deformation. The vibration differential equation and natural boundary conditions of HSRBTS were derived by considering the interlayer slip effect. Then, an analytic calculation method for the natural vibration frequency of this system was obtained. By taking two simply supported beam bridges of high-speed railway of 24 m and 32 m in span as examples, ANSYS and MIDAS finite-element numerical calculation methods were compared with the analytic method established in this paper. The calculation results show that two of them agree well with each other, validating the analytic method reported in this paper. The analytic method established in this study was used to evaluate the natural vibration characteristics of HSRBTS under different interlayer stiffness and length of rails at different subgrade sections. The results show that the vertical interlayer compressive stiffness had a great influence on the high-order natural vibration frequency of HSRBTS, and the effect of longitudinal interlayer slip stiffness on the natural vibration frequency of HSRBTS could be ignored. Under different vertical interlayer stiffness conditions, the subgrade section of HSRBTS has a critical rail length, and the critical length of rail at subgrade section decreases with the increase in vertical interlayer compressive stiffness.

• Structural Engineering and Mechanics
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• 제78권2호
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• pp.163-174
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• 2021

Track-bridge interaction has become an essential part in the design of bridges and rails in terms of modern railways. As a unique ballastless slab track, the longitudinal continuous slab track (LCST) or referred to as the China railway track system Type-II (CRTS II) slab track, demonstrates a complex force mechanism. Therefore, a comprehensive track-bridge interaction study between multi-span simply supported beam bridges and the LCST is presented in this work. In specific, we have developed an integrated finite element model to investigate the overall interaction effects of the LCST-bridge system subjected to the actions of temperature changes, traffic loads, and braking forces. In that place, the deformation patterns of the track and bridge, and the distributions of longitudinal forces and the interfacial shear stress are studied. Our results show that the additional rail stress has been reduced under various loads and the rail's deformation has become much smoother after the transition of the two continuous structural layers of the LCST. However, the influence of the temperature difference of bridges is significant and cannot be ignored as this action can bend the bridge like the traffic load. The uniform temperature change causes the tensile stress of the concrete track structure and further induce cracks in them. Additionally, the influences of the friction coefficient of the sliding layer and the interfacial bond characteristics on the LCST's performance are discussed. The systematic study presented in this work may have some potential impacts on the understanding of the overall mechanical behavior of the LCST-bridge system.

• Earthquakes and Structures
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• 제17권1호
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• pp.91-99
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• 2019

Fragility analysis is an effective tool that is frequently used for seismic risk assessment of bridges. There are three different approaches to derive a fragility curve: experimental, empirical and analytical. Both experimental and empirical methods to derive fragility curve are based on past earthquake reports and expert opinions which are not suitable for all bridges. Therefore, analytical fragility analysis becomes important. Nonlinear time history analysis is commonly used which is the most reliable method for determining probabilistic demand models. In this study, to determine the probabilistic demand models of bridges, time history analyses were performed considering both material and geometrical nonlinearities. Serviceability limit states for three different service velocities were considered as a performance goal. Also, support displacements, component yielding and collapse limits were taken into account. Both serviceability and component fragility were derived by using maximum likely hood methods. Finally, the seismic performance and critical members of the bridge were probabilistically determined and clearly presented.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2009년도 춘계학술대회 논문집
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• pp.326-331
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• 2009

An algorithm is proposed for computing dynamic displacements of a bridge using FBG sensors. An existing algorithm for estimating dynamic displacements of a simply supported beam through mode superposition is extended and applied to various types of bridges with bending and torsional modes. The proposed algorithm is examined through field tests on a suspension span steel deck plate box girder bridge. Guidelines are provided for determining the number of modes and the number of strain gages to be used.

• 한국전산구조공학회논문집
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• 제20권5호
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• pp.593-604
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• 2007

합성형 사교는 비합성형 사교에 비해 역학적 측면에서 큰 장점을 지니고 있는 것이 사실이지만 사각이 심한 사교들의 경우 합성형 사교에 매우 큰 상판응력이 유발될 가능성이 있어 종종 이들 사교들에 대한 비합성형 설계가 검토되어지곤 한다. 본 연구에서는 동적해석이 가능한 비합성형 사교의 해석모델을 제안하고 이 해석모델들을 이용하여 사교들에 대한 비합성형의 적용 타당성을 검토하였다. 또한 주형과 상판과의 세 가지 상호작용(합성작용, 부분합성작용, 비합성작용)이 단순 판형사교들의 동적특성과 동적거동에 미치는 영향을 조사하였다. 주형간격, 사각, 상판 종횡비를 매개변수로 총 27개의 판형 사교들에 대한 일련의 연구를 수행하였다. 상판과 주형 경계면에서의 미끄러짐은 고유진동주기가 길어지는 현상을 유발하여 사교의 교축직각방향에 작용하는 전체밑면전단력의 크기를 감소시킬 수도 있지만 모드형장과 강성분포에 큰 영향을 미쳐 바람직하지 않은 사교 거동을 유발할 수도 있다. 부분합성작용의 최소 규정에 따라 설치된 전단연결재는 주형응력과 상판응력을 감소시키는 효과가 있다. 즉, 몇몇 사교의 경우를 제외하고는 전반적으로 부분합성형으로부터 구한 주형응력과 상판응력의 크기는 합성형 사교로부터 구한 관련 응력들의 크기와 유사하거나 약간 크게 나타난다.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2002년도 추계학술대회 논문집(I)
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• pp.715-720
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• 2002

The dynamic load effects, generated by moving trains, are transferred to the railway bridges through tracks. The dynamic load effects may vary due to the dynamic characteristics of the applied vehicle loads and the railway bridges including the track system. However, the track models have been neglected or simplified by spring elements in the most studies since it is quite complicated to consider the track systems in the dynamic analysis models of railway bridges. In this study track system on railway bridges are modeled using a three-dimensional discrete-support model that can simulate the load carrying behavior of tracks. A 40m simply supported prestressed concrete box-girder system adopted for high-speed railway bridges are modeled for simulation works. The train models are composed of 20 cars for KTX. The dynamic response of railway bridges are found to be affected depending on whether the track model is considered for not. The influencing rate depends on the traveling speed and different wheel-axle distance. The dynamic bridge response decreases remarkably by the track systems around the resonant frequency. Therefore, the resonance effect can be reduced by modifying the track properties in the railway bridge, especially for KTX trains.