• Title/Summary/Keyword: Nonlinear Alternative

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Efficiency of various structural modeling schemes on evaluating seismic performance and fragility of APR1400 containment building

  • Nguyen, Duy-Duan;Thusa, Bidhek;Park, Hyosang;Azad, Md Samdani;Lee, Tae-Hyung
    • Nuclear Engineering and Technology
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    • v.53 no.8
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    • pp.2696-2707
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    • 2021
  • The purpose of this study is to investigate the efficiency of various structural modeling schemes for evaluating seismic performances and fragility of the reactor containment building (RCB) structure in the advanced power reactor 1400 (APR1400) nuclear power plant (NPP). Four structural modeling schemes, i.e. lumped-mass stick model (LMSM), solid-based finite element model (Solid FEM), multi-layer shell model (MLSM), and beam-truss model (BTM), are developed to simulate the seismic behaviors of the containment structure. A full three-dimensional finite element model (full 3D FEM) is additionally constructed to verify the previous numerical models. A set of input ground motions with response spectra matching to the US NRC 1.60 design spectrum is generated to perform linear and nonlinear time-history analyses. Floor response spectra (FRS) and floor displacements are obtained at the different elevations of the structure since they are critical outputs for evaluating the seismic vulnerability of RCB and secondary components. The results show that the difference in seismic responses between linear and nonlinear analyses gets larger as an earthquake intensity increases. It is observed that the linear analysis underestimates floor displacements while it overestimates floor accelerations. Moreover, a systematic assessment of the capability and efficiency of each structural model is presented thoroughly. MLSM can be an alternative approach to a full 3D FEM, which is complicated in modeling and extremely time-consuming in dynamic analyses. Specifically, BTM is recommended as the optimal model for evaluating the nonlinear seismic performance of NPP structures. Thereafter, linear and nonlinear BTM are employed in a series of time-history analyses to develop fragility curves of RCB for different damage states. It is shown that the linear analysis underestimates the probability of damage of RCB at a given earthquake intensity when compared to the nonlinear analysis. The nonlinear analysis approach is highly suggested for assessing the vulnerability of NPP structures.

Satellite Orbit Determination using the Particle Filter

  • Kim, Young-Rok;Park, Sang-Young
    • Bulletin of the Korean Space Science Society
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    • 2011.04a
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    • pp.25.4-25.4
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    • 2011
  • Various estimation methods based on Kalman filter have been applied to the real-time satellite orbit determination. The most popular method is the Extended Kalman Filter (EKF) and the Unscented Kalman Filter (UKF). The EKF is easy to implement and to use on orbit determination problem. However, the linearization process of the EKF can cause unstable solutions if the problem has the inaccurate reference orbit, sparse or insufficient observations. In this case, the UKF can be a good alternative because it does not contain linearization process. However, because both methods are based on Gaussian assumption, performance of estimation can become worse when the distribution of state parameters and process/measurement noise are non-Gaussian. In nonlinear/non-Gaussian problems the particle filter which is based on sequential Monte Carlo methods can guarantee more exact estimation results. This study develops and tests the particle filter for satellite orbit determination. The particle filter can be more effective methods for satellite orbit determination in nonlinear/non-Gaussian environment.

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Nonlinear Analysis of the Segmentally Erected Prestressed Concrete Box-Girder Bridges and Post-Processing (PC 박스거더교량의 시공단계별 비선형 해석 및 후처리 기법)

  • 오병환;강영진;이형준;이명규;홍기증;김영진;임선택
    • Proceedings of the Korea Concrete Institute Conference
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    • 1994.10a
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    • pp.368-373
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    • 1994
  • Recently, a large number of box girder bridges with cantilevered decks have been constructed. Especially, segmentally erected prestressed concrete box girder bridges are widely used as economic and aesthetic solutions for long span bridges. Segmental erection is a particularly attractive construction alternative in cases where continuously supported formwork is impractical or uneconomical. In segmentally erected bridges, the structural systems are changed as the construction stages are progressive and redistribution of member forces occurs due to time dependent effects of concrete and relaxation of prestressing steel. Then, in segmentally erected bridges, analysis are required at each construction states. In this study, nonlinear analysis progam of the segmentally erected prestressed concrete box girder bridges is developed in taking into account nonlinearity of material and geometry, time dependent effect of concrete and relaxation of prestressing steel.

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LINEAR AND NON-LINEAR LOOP-TRANSVERSAL CODES IN ERROR-CORRECTION AND GRAPH DOMINATION

  • Dagli, Mehmet;Im, Bokhee;Smith, Jonathan D.H.
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.2
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    • pp.295-309
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    • 2020
  • Loop transversal codes take an alternative approach to the theory of error-correcting codes, placing emphasis on the set of errors that are to be corrected. Hitherto, the loop transversal code method has been restricted to linear codes. The goal of the current paper is to extend the conceptual framework of loop transversal codes to admit nonlinear codes. We present a natural example of this nonlinearity among perfect single-error correcting codes that exhibit efficient domination in a circulant graph, and contrast it with linear codes in a similar context.

Study on Nonlinear Filter Using Unscented Transformation Update (무향변환을 이용한 비선형 필터에 대한 연구)

  • Yoon, Jangho
    • Journal of Aerospace System Engineering
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    • v.10 no.1
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    • pp.15-20
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    • 2016
  • The optimal estimation of a general continuous-discrete system can be achieved through the solution of the Fokker-Planck equation and the Bayesian update. Due the high nonlinearity of the equation of motion of the system and the measurement model, it is necessary to linearize the both equation. To avoid linearization, the filter based on Fokker-Planck equation is designed. with the unscented transformation update mechanism, in which the associated Fokker-Planck equation was solved efficiently and accurately via discrete quadrature and the measurement update was done through the unscented transformation update mechanism. This filter based on the Direct Quadrature Moment of Method(DQMOM) and the unscented transformation update is applied to the bearing only target tracking problem. The proposed filter can still provide more accurate estimation of the state than those of the extended Kalman filter especially when measurements are sparse. Simulation results indicate that the advantages of the proposed filter based on the DQMOM and the unscented transformation update make it a promising alternative to the extended Kalman filter.

HIGH ORDER EMBEDDED RUNGE-KUTTA SCHEME FOR ADAPTIVE STEP-SIZE CONTROL IN THE INTERACTION PICTURE METHOD

  • Balac, Stephane
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.4
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    • pp.238-266
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    • 2013
  • The Interaction Picture (IP) method is a valuable alternative to Split-step methods for solving certain types of partial differential equations such as the nonlinear Schr$\ddot{o}$dinger equation or the Gross-Pitaevskii equation. Although very similar to the Symmetric Split-step (SS) method in its inner computational structure, the IP method results from a change of unknown and therefore do not involve approximation such as the one resulting from the use of a splitting formula. In its standard form the IP method such as the SS method is used in conjunction with the classical 4th order Runge-Kutta (RK) scheme. However it appears to be relevant to look for RK scheme of higher order so as to improve the accuracy of the IP method. In this paper we investigate 5th order Embedded Runge-Kutta schemes suited to be used in conjunction with the IP method and designed to deliver a local error estimation for adaptive step size control.

Study on Applicability of Ultimate Strength Design Formula for Sandwich Panels - Application Cases of Double Hull Tanker Bottom Structures

  • Kim, Bong Ju
    • Journal of Ocean Engineering and Technology
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    • v.34 no.2
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    • pp.97-109
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    • 2020
  • In this study, ultimate strength characteristics of clamped sandwich panels with metal faces and an elastic isotropic core under combined in-plane compression and lateral pressure loads are investigated to verify the applicability of the ultimate strength design formula for ship structures. Alternative elastomer-cored steel sandwich panels are selected instead of the conventional bottom stiffened panels for a Suezmax-class tanker and then the ultimate strength characteristics of the selected sandwich panels are examined by using nonlinear finite element analysis. The change in the ultimate strength characteristics due to the change in the thickness of the face plate and core as well as the amplitude of lateral pressure are summarized and compared with the results obtained by using the ultimate strength design formula and nonlinear finite element analysis. The insights and conclusions developed in the present study will be useful for the design and development of applications for sandwich panels in double hull tanker structures.

Optimal Structure of Wavelet Neural Network Systems using Genetic Algorithm (유전 알고리즘 이용한 웨이블릿 신경회로망의 최적 구조 설계)

  • 이창민;서재용;진홍태
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.4
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    • pp.338-342
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    • 2000
  • In order to approximate a nonlinear function, wacelet neural networks combining wacelet theory and neural networks have been proposed as an alternative to conventional multi-layered neural networks. wacelet neural networks provide better approximating performance than conventional neural networks. In this paper, an effective method to construct an optimal wavelet neural network is proposed using genetic alogorithm. Genetic Algorithm is used to determine dilationa and translations of wavelet basic functions of wavelet neural networks. Then, these determined dilations dilations and translations, wavelet neural networks are funther trained by back propagation learning algorithm. The effectiveness of the final network is verified thrifigh the approximation result of a nonlinear function and comparison with conventional neural networks.

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A Study on Nonlinear Controller of DC Servo-motors with Harmonic Drive Gearing and Its Synchronous Operation (하모닉 드라이브를 가진 DC 서보 모터의 비선형 제어기와 동기 운전에 관한 연구)

  • 김연태;최정원;홍동기;이석규
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.8
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    • pp.60-70
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    • 1998
  • A harmonic drive is compact torque transmission device with no backlash which is widely applied in industrial field to transmit torque precisely. However, one of the disadvantages of harmonic drives is the existence of mechanical flexibility caused by its structural properties, which imposes great limitation on designing precise controller This paper proposes a nonlinear controller for synchronous operation of DC servo-motors with harmonic drive, using Integrator Backstepping method. Furthermore, an alternative algorithm for serial type synchronous operation of multiple DC servo-motors is proposed. Simulation results by SIMULINK for proposed controller shows considerably small error and rapid approach to reference input, which can be adapted to industrial applications.

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Estimation of nonlinear censored simultaneous equations models : An Application of Quasi Maximum Likelihood Methods (절삭된 연립방정식 모형의 추정에 대한 몬테칼로 비교)

  • 이회경
    • The Korean Journal of Applied Statistics
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    • v.4 no.1
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    • pp.13-24
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    • 1991
  • This paper presents a Monte Carlo evaluation of estimators for nonlinear consored simultaneous equations models. We examine the performance of the maximum likelihood estimator (MLE), the two-step quasi maximum likelihood estimator (2QMLE) proposed by Lee and Hurd (1989), and another quasi MLe using least squares at the first step (LSAE) under varying degrees of freedom and underlying distributions, Although QMLE's are not necessarily consistent, the Monte Carlo results show that the 2QMLE may be used as an alternative to MLE when MLE is not applicable in practice.

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