• Wind and Structures
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• 제27권6호
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• pp.381-397
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• 2018

Nonlinear behavior in fluid-structure interaction (FSI) of bridge decks becomes increasingly significant for modern bridges with increasing spans, larger flexibility and new aerodynamic deck configurations. Better understanding of the nonlinear aeroelasticity of bridge decks and further development of reduced-order nonlinear models for the aeroelastic forces become necessary. In this paper, the amplitude-dependent and neutral angle dependent nonlinearities of the motion-induced loads are further highlighted by series of computational fluid dynamics (CFD) simulations. An effort has been made to investigate a semi-analytical time-domain model of the nonlinear motion induced loads on the deck, which enables nonlinear time domain simulations of the aeroelastic responses of the bridge deck. First, the computational schemes used here are validated through theoretically well-known cases. Then, static aerodynamic coefficients of the Great Belt East Bridge (GBEB) cross section are evaluated at various angles of attack, leading to the so-called nonlinear backbone curves. Flutter derivatives of the bridge are identified by CFD simulations using forced harmonic motion of the cross-section with various frequencies. By varying the amplitude of the forced motion, it is observed that the identified flutter derivatives are amplitude-dependent, especially for $A^*_2$ and $H^*_2$ parameters. Another nonlinear feature is observed from the change of hysteresis loop (between angle of attack and lift/moment) when the neutral angles of the cross-section are changed. Based on the CFD results, a semi-analytical time-domain model for describing the nonlinear motion-induced loads is proposed and calibrated. This model is based on accounting for the delay effect with respect to the nonlinear backbone curve and is established in the state-space form. Reasonable agreement between the results from the semi-analytical model and CFD demonstrates the potential application of the proposed model for nonlinear aeroelastic analysis of bridge decks.

• 한국전산구조공학회논문집
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• 제37권2호
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• pp.133-141
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• 2024

유체-구조물-지반 상호작용을 고려한 액체저장탱크의 유한요소 모형을 제시하고, 비선형 지진응답 해석기법을 정식화한다. 탱크 구조물은 기하 및 재료 비선형 거동을 고려할 수 있는 쉘 요소로 모델링한다. 유체의 거동은 acoustic 요소로 구현하고, interface 요소를 사용하여 구조물과 결합한다. 지반-구조물 상호작용을 고려하기 위해 지반의 근역과 원역을 각각 solid 요소와 perfectly matched discrete layer로 모델링한다. 예제 20만 kl급 액체저장탱크의 지진취약도 해석에 적용하여, 유연한 지반에 구조물이 놓인 경우 부지에서의 암반노두운동의 증폭 및 필터링으로 인해 지진취약도의 중앙값과 대수 표준편차가 감소하는 것을 관찰할 수 있다.

• 전기학회논문지
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• 제57권6호
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• pp.915-923
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• 2008

This paper focuses on optimal tuning of nonlinear parameters of a dual-input power system stabilizer(dual-input PSS), which can improve the system damping performance immediately following a large disturbance. Until recently, various PSS models have developed to bring stability and reliability to power systems, and some of these models are used in industry applications. However, due to non-smooth nonlinearities from the interaction between linear parameters(gains and time constants of linear controllers) and nonlinear parameters(saturation output limits), the output limit parameters cannot be determined by the conventional tuning methods based on linear analysis. Only ad hoc tuning procedures('trial and error' approach) have been used. Therefore, the steepest descent method is applied to implement the optimal tuning of the nonlinear parameters of the dual-input PSS. The gradient required in this optimization technique can be computed from trajectory sensitivities in hybrid system modeling with the differential-algebraic-impulsive-switched(DAIS) structure. The optimal output limits of the dual-input PSS are evaluated by time-domain simulation in both a single machine infinite bus(SMIB) system and a multi-machine power system in comparison with those of a single-input PSS.

• 한국전산구조공학회논문집
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• 제15권1호
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• pp.105-116
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• 2002

이 논문에서는 철근콘크리트 장주의 극한저항력을 효과적으로 산정할 수 있는 설계 관계식이 제안되었다. 철근콘크리트 기둥의 거동은 여러 설계변수들의 영향을 받는데 특히 콘크리트의 강도, 철근비, 세장비 및 편심 등에 의해 크게 영향을 받으므로 설계식의 제안을 위해 위의 4가지 변수들을 변화시켜가며 철근콘크리트 기둥의 비선형 해석을 수행하였다. 콘크리트의 균열 등을 포함한 재료의 비선형성을 고려하기 위해 적층단면법이 사용되었으며, p-△ 효과를 구현하기 위하여 기하강성행렬이 고려되었다. 해석결과로부터 각 변수의 변화에 따른 철근콘크리트 기둥의 저항력의 변화를 비교하였으며 이를 토대로 회귀분석 모델을 제안하였다. 또한 회귀분석을 수행하여 철근콘크리트 장주의 극한저항력을 효과적으로 산정할 수 있는 회귀분석식을 제안하였고, 기존의 설계기준과 비교하여 제안식의 효율성을 검증하였다.

• International Journal of Aeronautical and Space Sciences
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• 제4권1호
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• pp.53-62
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• 2003

In this study, nonlinear aeroelastic characteristics of an supersonic missile wing with strong shock interferences are investigated. The missile wing model has a freeplay structural nonlinearity at its pitch axis. To practically consider the effects of freeplay structural nonlinearity, the fictitious mass method is applied to structural vibration analysis based on finite element method. Nonlinear aerodynamic flows with unsteady shock waves are also considered in supersonic flow regions. To solve the nonlinear aeroelastic governing equations including the freeplay effect, a modal-based coupled time-marching technique based on the fictitious mass method is used in the time-domain. Various aeroelastic computations have been performed for the nonlinear wing structure model. Linear and nonlinear aeroelastic analyses have been conducted and compared with each other in supersonic flow regions. Typical nonlinear limit cycle oscillations and phase plots are presented to show the complex vibration phenomena with simultaneous fluid-structure nonlinearities.

• Structural Engineering and Mechanics
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• 제71권3호
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• pp.233-244
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• 2019

Steel jacketing technique is a retrofitting method often employed for static and seismic strengthening of existing reinforced concrete columns. When no continuity is given to angle chords as they cross the floor, the jacket is considered "indirectly loaded", which means that the load acting on the column is transferred partially to the external jacket through interface shear stresses. The evaluation of load transfer mechanism between core and jacket is not straightforward to be modeled, due to the absence of knowledge of a proper constitutive law of the concrete-to-steel interface and to the difficulties in taking into account the mechanical nonlinearities of materials. This paper presents an incremental analytical/numerical approach for evaluating the compressive response of RC columns strengthened with indirectly loaded jackets. The approach allows calculating shear stresses at the interface between core and jacket and predicting the axial capacity of retrofitted columns. A proper constitutive law is proposed for modelling the interaction between the steel and the concrete. Based on plasticity rules and the non-linear behaviour of materials, the column is divided into portions. After a detailed parametric analysis, comparisons are finally made by theoretical predictions and experimental results available in the literature, showing a good agreement.

• Structural Engineering and Mechanics
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• 제81권4호
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• pp.395-409
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• 2022

The presence of infill generally neglected in design despite the fact that infill contribution significantly increase the lateral stiffness and strength of the reinforced concrete frame structure. Several experimental studies and computational models have been proposed to capture the rational response of infill-frame interaction at global level. However, limited studies are available on explicit finite element modelling to study the local behavior due to high computation and convergence issues in numerical modelling. In the current study, the computational modelling of RC frames is done with various configurations of infill masonry in terms of types of blocks, lateral loading and reinforcement detailing employed with material nonlinearities, interface contact issues and bond-slip phenomenon particularly near the beam-column joints. To this end, extensive computational modelling of five variant characteristics test specimens extracted from the detailed experimental program available in literature and process through nonlinear static analysis in FEM code, ATENA generally used to capture the nonlinear response of reinforced concrete structures. Results are presented in terms of damage patterns and capacity curves by employing the finest possible detail provided in the experimental program. Comparative analysis shows that good correlation amongst the experimental and numerical simulated results both in terms of capacity and crack patterns.

• 콘크리트학회지
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• 제10권4호
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• pp.113-124
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• 1998

축력과 면내 및 면외의 두방향 휨모멘트를 받는 철근콘크리트 벽체에 대한 비선형 해석연구를 수행하였으며 , 해석결과를 분석하여 벽체의 강도산정법을 유도하였다. 비선형 해석연구를 위하여 철근콘크리트 벽체에 대한 재료 및 기하학적 비선형 해석을 수행할 수 있는 유한요소 해석방법을 개발하였다. 철근콘크리트의 재료모델로서 소성이론과 파괴모델의 통합모델을 사용하였다. 철근콘크리트 벽체에 대한 해석결과를 토대로 단면의 응력분포를 이상화하였으며, 이를 이용하여 새로운 강도산정법을 개발하였다. 이 방법에 따르면, 면외 휨모멘트에 의하여 단위길이의 벽체가 지지할 수 있는 축력이 결정되며, 이 허용 단위 축력에 따라서 총 축력과 면내 휨모멘트의 상호관계곡선이 결정된다. 면외 휨모멘트가 증가할수록 축력과 면내 휨모멘트의 상호관계곡선이 축소되며 이는 벽체 강도의 감소를 가리킨다. 이 새로운 방법을 , 휨변형후에도 단면이 평면으로 유지된다는 가정을 사용하는 기존의 강도산정법과 비교한다. 이 비교결과에 따르면 , 새로운 방법에 비하여 기존의 방법은 면외 휨모멘크가 작은 영역에서 벽체의 강도를 과소평가하며, 면외 휨모멘트가 큰 영역에서는 벽체의 강도를 과대평가한다.

• 한국강구조학회 논문집
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• 제11권4호통권41호
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• pp.417-424
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• 1999

본 논문에서는 3차원 강뼈대구조물의 비선형 해석 기법을 개발하였다. 본 해석은 재료적 비선형과 기하학적 비선형을 고려하였다. 재료적 비선형으로 휨에 의한 점진적인 소성화를 고려하였다. 기하학적 비선형으로 $P-{\delta}$와 $P-{\Delta}$ 효과를 고려하였다. 절점에서의 재료적 비선형성은 여러개의 화이버로 구성되어 있는 P-M 힌지 개념을 사용함으로써 고려하였다. 기하학적 비선형성은 안정함수 (Stability function)를 사용하여 고려하였다. 단 전단과 비틀림에 의해 발생하는 비선형형은 고려하지 않았다. 수치해석법으로는 수정변위증가법을 사용하였다. 본 연구에서 제안된 해석방법으로 예측된 하중-변위가 다른 해석기법의 결과들과 잘 일치하였다.

• 대한조선학회논문집
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• 제51권4호
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• pp.274-282
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• 2014

Time series of the dynamic response of a slender marine structure was predicted using quadratic Volterra series. The wave-structure interaction system was identified using the NARX(Nonlinear Autoregressive with Exogenous Input) technique, and the network parameters were determined through the supervised training with the prepared datasets. The dataset used for the network training was obtained by carrying out the nonlinear finite element analysis on the freely standing riser under random ocean waves of white noise. The nonlinearities involved in the analysis were both large deformation of the structure under consideration and the quadratic term of relative velocity between the water particle and structure in Morison formula. The linear and quadratic frequency response functions of the given system were extracted using the multi-tone harmonic probing method and the time series of response of the structure was predicted using the quadratic Volterra series. In order to check the applicability of the method, the response of structure under the realistic ocean wave environment with given significant wave height and modal period was predicted and compared with the nonlinear time domain simulation results. It turned out that the predicted time series of the response of structure with quadratic Volterra series successfully captures the slowly varying response with reasonably good accuracy. It is expected that the method can be used in predicting the response of the slender offshore structure exposed to the Morison type load without relying on the computationally expensive time domain analysis, especially for the screening purpose.