• 제목/요약/키워드: rational interpolation

검색결과 55건 처리시간 0.017초

Nonlinear inelastic analysis of steel-concrete composite beam-columns using the stability functions

  • Park, Jung-Woong;Kim, Seung-Eock
    • Structural Engineering and Mechanics
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    • 제30권6호
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    • pp.763-785
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    • 2008
  • In this study, a flexibility-based finite element method considering geometric and material nonlinearities is developed for analyzing steel-concrete frame structures. The stability functions obtained from the exact buckling solution of the beam-column subjected to end moments are used to accurately capture the second-order effects. The proposed method uses the force interpolation functions, including a moment magnification due to the axial force and lateral displacement. Thus, only one element per a physical member can account for the interaction between the bending moment and the axial force in a rational way. The proposed method applies the Newton method based on the load control and uses the secant stiffness method, which is computationally both efficient and stable. According to the evaluation result of this study, the proposed method consistently well predicts the nonlinear inelastic behavior of steel-concrete composite frames and gives good efficiency.

영상의 공간적 보간을 응용한 손상된 영상 구획의 복원 기법 (THE RECOVERY TECHNIQUE OF ERRONEOUS BLOCKS BASED ON THE SPATIAL INTERPOLATION)

  • 박종욱;이상욱
    • 한국방송∙미디어공학회:학술대회논문집
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    • 한국방송공학회 1996년도 학술대회
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    • pp.229-232
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    • 1996
  • 본 논문에서는 공간적 보간을 응용하여 손상된 영상 구획의 데이터를 복원하는 기법을 제시한다. 이러한 기법은 손상된 영상을 부가 정보 없이 복원하는 오류 은폐의 핵심으로 Park[3], Wang[4], Sun[9], Lee[7], Hemami[8] 등에 의해서 여러 가지 기법들이 제안되었다. 그러나 이러한 기법들은 단순히 주변 구획과의 경계면에서의 연속성만을 고려하여 복원하므로 구획 내부의 데이터를 복원하는데 한계가 있으며 계산량도 많은 단점이 있다. 따라서 본 논문에서는 이러한 기존의 기법들의 단점을 극복하기 위하여 Non-Unform Rational B-Spline(NURBS)을 응용한 복원 기법을 제안한다. 제시된 주변 구획의 오류 유무와 윤곽선의 방향에 따라 주변 구획의 화소 정보에 할당되는 가중치를 적절히 변경하여 NURBS를 적용한다. 따라서 윤곽선의 방향을 더욱 견실하게 복원함으로써 주관적, 객관적 관점에서 기존의 기법보다 우수한 영상 구획 복원 성능을 얻을 수 있다. 정지 영상에 대한 컴퓨터 모의 실험 결과 제안하는 알고리듬을 기존의 기법보다 30% 구획 손실율에서 0.5 dB이상 성능 향상을 얻을 수 있음을 관찰하였다.

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임의의 절점 추가에 의한 개선 유한요소법 (An Improved Finite Element Method by Adding Arbitrary Nodes in a Domain)

  • 김현규
    • 대한기계학회논문집A
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    • 제30권12호
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    • pp.1626-1633
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    • 2006
  • In the present paper, in the context of the meshless interpolation of a moving least squares (MLS) type, a novel method which uses primary and secondary nodes in the domain and on the global boundary is introduced, in order to improve the accuracy of solution. The secondary nodes can be placed at any location where one needs to obtain a better resolution. The support domains for the shape functions in the MLS approximation are defined from the primary nodes, and the secondary nodes use the same support domains. The shape functions based on the MLS approximation, in an integration domain, have a single type of a rational function, which reduces the difficulty of numerical integration to evaluate the weak form. The present method is very useful in an adaptive calculation, because the secondary nodes can be easily added and moved without an additional mesh. Several numerical examples are presented to illustrate the effectiveness of the present method.

강철도교의 응력발생모형을 이용한 피로수명 추정에 관한 연구 (A Study on the Estimation of the Fatigue Life Using the Stress Generated Models in the Steel Railroad Bridges)

  • 용환선;김석태;이승수
    • 한국강구조학회 논문집
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    • 제8권4호통권29호
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    • pp.19-29
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    • 1996
  • In this paper, it is presumed that the stress time history was generated by simulation method and investigated compatibility in regard to the reappearance of stress time history. In this procedure, the identified frequency distribution of stress range of the steel railroad bridge varies with the rational values of cut off point and bar width. Thus, we show variable aspect of the equivalent stress range results from change of cut off point and bar width. In addition, we analyze the variable of RMC and RMS model due to the cut off point and bar width of the measured stress history which influencs the prediction of fatigue life in the steel railroad bridge. The simulated stress time history is carried out by the superposition method incorporating the vertical load with rotation moment obtained from the Hermition interpolation function, and compared with developing stress results from measured maxi mum stress. Through this study, we can estimate the remaining fatigue life from a safety point of view and comparative accuracy.

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다해상도를 위한 영상의 숙소 및 확대 algorithm (Image site reduction and expansion for multiresolution)

  • 염선숙;김준우;김민기
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1993년도 추계학술대회
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    • pp.194-197
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    • 1993
  • A technique for fast image reduction or expansion, in which the reduction(expansion) factor is either any integer or any rational number M/L Is represented. The multiresolution is modeled as an interpolation and filtering followed by a decimation. The model enables frequency domain analysts of the muitiresolution representations as well as convenient design of the Kernels(filters). Using any rin linear phase(Type I) filters a fine to coarse multiresolution structure can be generated.

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NURB 곡선을 이용한 가스절연 원통형 관로 내에서의 전계 최적화 (Electric Field Optimization using the NURB curve in a Gas-Insulated Switchgear)

  • 한인수;김응식;민석원;이준호;박종근;이태형;박춘수
    • 전기학회논문지
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    • 제58권3호
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    • pp.548-558
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    • 2009
  • This paper attempts to develop an algorithm which optimizes the electric field through the so-called NURB(Non-Uniform Rational B-spline) curve in order to improve the insulation capacity. In particular, the NURB curve is a kind of interpolation curve that can be expressed by a few variables. The electric field of a conductor is computed by Charge Simulation Method(CSM) while that of a spacer by Surface Charge Method(SCM); this mixed calculation method is adopted for the electric field optimization. For calculation of the initial and optimal shapes, the Gauss-Newton method, which is quite easy to formulate and has slightly faster convergence rate than other optimization techniques, was used. The tangential electric field, the total electric field, and the product of the tangential electric field and area (Area Effect) were chosen as the optimization objective function by the average value of electric field for the determined initial shape.

정보숨김과 주변 움직임 벡터의 적응적 선택에 의한 에러은닉 알고리즘의 설계 및 구현 (Design and Implementation of Error Concealment Algorithm using Data Hiding and Adaptive Selection of Adjacent Motion Vectors)

  • 이현우;성동수;이건배
    • 정보처리학회논문지B
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    • 제13B권6호
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    • pp.607-614
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    • 2006
  • 본 논문에서는, 복합 에러은닉 알고리즘을 이용하는 비디오 코더를 제안한다. 알고리즘은 먼저 정보숨김을 적용하여 손실된 블록의 움직임 벡터를 복원한다. 만일 은닉정보가 손실된 경우 손실된 블록의 움직임 벡터는 주위 정상 블록들의 움직임 벡터들의 적응적 선택을 이용하여, 손실된 블록의 새로운 움직임 벡터로 할당하고, OBMC (Overlapped Block Motion Compensation)를 통해 최종적으로 손실영역을 은닉하게 된다. 이 방법은 연속된 GOB의 손실에 있어서 좀 더 효과적임을 알 수 있었다. 실험 결과 제안한 방법의 결과가 정보숨김만을 이용하거나. 주변 움직임 벡터만을 이용하는 기존의 방법에 비하여 향상된 결과를 얻을 수 있음을 알 수 있었다.

수치지형정보를 활용한 농업용수개발 사업의 계획 및 설계 (The Planning and Design of Agricultural Water Resources Development Project using Digital Topographic Data)

  • 이재기;이현직;최석근
    • 한국측량학회지
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    • 제13권1호
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    • pp.49-59
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    • 1995
  • 본 연구는 농업용수 개발사업의 기초조사와 기본계획 및 실시설계 과정에 수치지형정보를 활용함으로써 농업용수 개발사업의 경제적이고 합리적인 추진에 기여함을 목적으로 한다. 본 연구에서는 대상지역의 수치지형정보를 취득하기 위해 항공사진을 이용하였으며, 이를 보간하여 대상계획에 적합한 수치표고모형을 생성함은 물론, 관련도형정보 및 속성자료를 이용하여 농업용수 개발사업의 기초조사용 데이터 베이스를 설계하였다 본 연구의 수행결과, 본 연구에서 정 저한 방법이 농업용수 개발사업의 효율적 인 수행에 기여함을 알 수 있었다.

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함수 근사 모멘트 방법에서 추정한 1∼4차 통계적 모멘트의 수치적 검증 (Numerical Verification of the First Four Statistical Moments Estimated by a Function Approximation Moment Method)

  • 곽병만;허재성
    • 대한기계학회논문집A
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    • 제31권4호
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    • pp.490-495
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    • 2007
  • This research aims to examine accuracy and efficiency of the first four moments corresponding to mean, standard deviation, skewness, and kurtosis, which are estimated by a function approximation moment method (FAMM). In FAMM, the moments are estimated from an approximating quadratic function of a system response function. The function approximation is performed on a specially selected experimental region for accuracy, and the number of function evaluations is taken equal to that of the unknown coefficients for efficiency. For this purpose, three error-minimizing conditions are utilized and corresponding canonical experimental regions constructed accordingly. An interpolation function is then obtained using a D-optimal design and then the first four moments of it are obtained as the estimates for the system response function. In order to verify accuracy and efficiency of FAMM, several non-linear examples are considered including a polynomial of order 4, an exponential function, and a rational function. The moments calculated from various coefficients of variation show very good accuracy and efficiency in comparison with those from analytic integration or the Monte Carlo simulation and the experimental design technique proposed by Taguchi and updated by D'Errico and Zaino.

Nonparametric modeling of self-excited forces based on relations between flutter derivatives

  • Papinutti, Mitja;Cetina, Matjaz;Brank, Bostjan;Petersen, Oyvind W.;Oiseth, Ole
    • Wind and Structures
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    • 제31권6호
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    • pp.561-573
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    • 2020
  • Unsteady self-excited forces are commonly represented by parametric models such as rational functions. However, this requires complex multiparametric nonlinear fitting, which can be a challenging task that requires know-how. This paper explores the alternative nonparametric modeling of unsteady self-excited forces based on relations between flutter derivatives. By exploiting the properties of the transfer function of linear causal systems, we show that damping and stiffness aerodynamic derivatives are related by the Hilbert transform. This property is utilized to develop exact simplified expressions, where it is only necessary to consider the frequency dependency of either the aeroelastic damping or stiffness terms but not both simultaneously. This approach is useful if the experimental data on aerodynamic derivatives that are related to the damping are deemed more accurate than the data that are related to the stiffness or vice versa. The proposed numerical models are evaluated with numerical examples and with data from wind tunnel experiments. The presented method can evaluate any continuous fitted table of interpolation functions of various types, which are independently fitted to aeroelastic damping and stiffness terms. The results demonstrate that the proposed methodology performs well. The relations between the flutter derivatives can be used to enhance the understanding of experimental modeling of aerodynamic self-excited forces for bridge decks.