• Title/Summary/Keyword: nonlinearities

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BDS Statistic: Applications to Hydrologic Data (BDS 통계: 수문자료에의 응용)

  • Kim, Hyeong-Su;Gang, Du-Seon;Kim, Jong-U;Kim, Jung-Hun
    • Journal of Korea Water Resources Association
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    • v.31 no.6
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    • pp.769-777
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    • 1998
  • In this study, various time series are analyzed to check nonlinearities of the data. The nonlinearity of a system can be investigated by testing the randomness of the time series data. To test the randomness, four nonparametric test statistics and a new test statistic, called the BDS statistic are used and the results and the results are compared. The Brock, Dechert, and Scheinkman (BDS) statistic is originated from the statistical properties of the correlation integral which is used for searching for chaos and has been shown very effective in distinguishing nonlinear structures in dynamic systems from random structures. As a result of application to linear and nonlinear models which are well known, the BDS statistic is found to be more effective than nonparametric test statistics in identifying nonlinear structure in the time series. Hydrologic time series data are fitted to ARMA type models and the statistics are applied to the residuals. The results show that the BDS statistic can distinguish chaotic nonlinearity from randomness and that the BDS statistic can also be used for verifying the validity of the fitted model.

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Numerical Simulation of Liquid Sloshing in Three- Dimensional Tanks (3차원(次元) 탱크내에서의 액체(液體) 슬로싱의 수치(數値) 해석(解析))

  • J.H. Hwang;I.S. Kim;Y.S. Seol;S.C. Lee;Y.K. Chon
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.12-18
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    • 1991
  • Three-dimensional nonlinear sloshing effects due to tank motions are simulated by solving boundary value problem using the panel method based on boundary integral technique. While Shinkai used boundary elements on which source strengths vary linearly between nodes, the source of constant strength is distributed on each triangular panel in the present study. The source strength at each time step is determined by solving the Fredholm integral equation of the second kind obtained from Green's theorem. To avoid cumulative numerical errors as time elapses, Adam-Bashforth-Moulton method is employed. Numerical examples for the case of partially filled spherical tank on board oscillating in harmonic sway mode or pitch mode are solved. The elevation of the free surface is compared with the result by Shinkai and confirmed in good agreement during early time. The input and the output energy are comparatively evaluated to check the overall accuracy of the present numerical scheme. Although some leakage of energy are found as time marches, it is plausible when we take into account nonlinearities of the problem and the number of panels of the model.

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Nonlinear Thermo-mechanical Analysis Considering Heat Flow under Fire Conditions (화재 열 유동을 고려한 구조물의 열응력해석)

  • Pak, Hongrak;Kang, Jun Won;Lee, Jinwoo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.4
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    • pp.369-376
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    • 2016
  • In this study, a numerical analysis framework for investigating the nonlinear behavior of structures under fire conditions is presented. In particular, analysis procedure combining fire-driven flow simulation and thermo-mechanical analysis is discussed to investigate the mechanical behavior of fire-exposed representative volume structures made of steel and concrete, respectively. First of all, fire-driven flow analysis is conducted using Fire Dynamics Simulator(FDS) in a rectangular parallelepiped domain containing the structure. The FDS simulation yields the time history of temperature on the surface of the structure under fire conditions. Second, mechanical responses of the fire-exposed structure with respect to prescribed uniformly distributed loads are calculated by a coupled thermo-mechanical analysis using the time-varying surface temperature as boundary conditions. Material nonlinearities of steel and concrete have been considered in the thermo-mechanical analysis. A series of numerical results are presented to demonstrate the feasibility of the multiphysics structural fire analysis for investigating the structural behavior under fire conditions.

Multi-DOF Real-time Hybrid Dynamic Test of a Steel Frame Structure (강 뼈대 구조물의 다자유도 실시간 하이브리드 동적 실험)

  • Kim, Sehoon;Na, Okpin;Kim, Sungil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.2
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    • pp.443-453
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    • 2013
  • The hybrid test is one of the most advanced test methods to predict the structural dynamic behavior with the interaction between a physical substructure and a numerical modeling in the hybrid control system. The purpose of this study is to perform the multi-directional dynamic test of a steel frame structure with the real-time hybrid system and to evaluate the validation of the results. In this study, FEAPH, nonlinear finite element analysis program for hybrid only, was developed and the hybrid control system was optimized. The inefficient computational time was improved with a fixed number iteration method and parallel computational techniques used in FEAPH. Furthermore, the previously used data communication method and the interface between a substructure and an analysis program were simplified in the control system. As the results, the total processing time in real-time hybrid test was shortened up to 10 times of actual measured seismic period. In order to verify the accuracy and validation of the hybrid system, the linear and nonlinear dynamic tests with a steel framed structure were carried out so that the trend of displacement responses was almost in accord with the numerical results. However, the maximum displacement responses had somewhat differences due to the analysis errors in material nonlinearities and the occurrence of permanent displacements. Therefore, if the proper material model and numerical algorithms are developed, the real-time hybrid system could be used to evaluate the structural dynamic behavior and would be an effective testing method as a substitute for a shaking table test.

RC Wall under Axial Force and Biaxial Bending Moments (축력과 면내 및 면외 휨모멘트를 받는 철근콘크리트 벽체)

  • 박홍근
    • Magazine of the Korea Concrete Institute
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    • v.10 no.4
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    • pp.113-124
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    • 1998
  • Numerical study using nonlinear finite element analysis is done for investigating behavior of isolated reinforced concrete walls subject to combined in-plane and out-of-plane bending moments and axial force. A method for estimating the ultimate strength of wall is developed, based on the analytical results. For the nonlinear finite element analysis, a computer program addressing material and geometric nonlinearities is developed. An existing unified method combining plasticity theory and damage model is used for material model of reinforced concrete. By numerical studies, the internal force distribution in the cross section is idealized, and a new method for estimating the ultimate strength of wall is developed. According to the proposed method, variation of the interaction curve of in-plane bending moment and axial force depends on the range of the permissible axial force per unit length that is determined by the given amount of out-of-plane bending moment. As the out-of-plane bending moment increases, the interaction curve shrinks, which indicates a decrease in the ultimate strength. The proposed method is compared with an existing method using the general assumption that strain shall be directly proportional to the distance from the neutral axis. Compared with the proposed method, the existing method overestimates the ultimate strength for walls subject to low out-of-plane bending moments, and it underestimates the ultimate strength for walls subject to high out-of-plane bending moments.

Rail-Stress of High-Speed Railway Bridges using tong Rails and subjected to Spatial Variation of Ground Motion Excitations (지반운동을 공간변화를 고려한 고속철도 장대레일의 응력해석)

  • Ki-Jun Kwon;Yong-Gil Kim
    • Journal of the Korean Society of Safety
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    • v.18 no.2
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    • pp.132-138
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    • 2003
  • The use of long rails in high-speed railway bridges causes additional stresses due to nonlinear behaviours between the rail and bridge decks in the neighbourhood of the deck joints. In the seismic response analysis of high-speed railway bridges, since structural response is highly sensitive to properties of the ground motion, spatial variation of the ground excitation affects responses of the bridges, which in turn affect stresses in the rails. In addition, it is shown that high-speed trains need very long distances to stop when braking under seismic occurrence corresponding to operational earthquake performance level so that verification of the safe stoppage of the train is also required. In view of such additional stresses due to long rails, sensibility of structural response to the properties of the ground motion and braking distance needed by the train to stop safely, this paper proposes and establishes a time domain nonlinear dynamic analysis method that accounts for braking loads, spatial variation of the ground motion and material nonlinearities of rails to analyze long rail stresses in high-speed railway bridges subjected to seismic event. The accuracy of the proposed method is demonstrated through an application on a typical site of the Korean high-speed railway.

Development of a Monitoring System for Batch Gas Manufacturing Processes (회분식 가스 제조 공정용 실시간 감시 시스템의 개발)

  • Lee Young-Hak;Lee Don-Yong;Han Chong-hun
    • Journal of the Korean Institute of Gas
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    • v.2 no.3
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    • pp.54-59
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    • 1998
  • As distributed control systems (DCS) and plant information systems (PIS) are introduced into gas industries, process monitoring systems based on process data have attracted significant interests. However, these technologies have not been fully due to strong nonlinearities of batch processes. The multiway principal component analysis, which has been recently developed, has solved these problems and has been widely used in the industries. However, the lack of statistical background of process operators has been one of major obstacles for maximum utilization of the technology This paper introduces a real time monitoring system for batch gas manufacturing processes that offers a variety of tools that operators can understand and use without serious difficulties. The proposed integrated system covers the whole spectrum of monitoring and diagnosis that include data collection, monitoring and diagnosis. The developed system has been verified to be very effective for monitoring and diagnosis using its application to the construction of monitoring system for a typical industrial batch reactor.

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NRZ versus RZ Modulation Format in Lumped Dispersion Managed Systems (집중형 분산 제어 시스템에서 NRZ 변조 형식 대 RZ 변조 형식)

  • Lee, Seong-Real;Cho, Sung-Eon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.2
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    • pp.328-335
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    • 2008
  • The system performance of NRZ format in WDM transmission system with lumped dispersion management(DM) and optical phase conjugator(OPC) is compared with that of RZ format. It is confirmed that eye opening penalty(EOP) of both NRZ and RZ format in WDM transmission system having lumped DM combined with OPC are greatly improved than those in WDM system with only OPC. The optimal net residual dispersion(NRD) in the case of RZ format is decided to so small value that path-averaged dispersion coefficient become almost zero, while that in the case of NRZ format is decided to larger value, for the best improvement of overall WDM channels. It is also confirmed that EOP in the case of RZ format is more improved than that in the case of NRZ format in lumped DM with optimal NRD. This is resulted from that lumped DM combined with OPC suppress the signal distortion due to intrachannel four-wave mixing(IFWM) and intrachannel cross phase modulation(IXPM). Consequently, lumped DM combined with OPC proposed in this paper is effective technique to mitigate intrachannel nonlinearities in WDM transmitting RZ format.