• 제목/요약/키워드: Weighted residual method

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지각적으로 가중된 매칭 퍼슈잇을 이용한 오디오 신호의 정현파 모델링 (Sinusoidal Modeling of Audio Signals Using Perceptually Weighted Matching Pursuit)

  • 김연지;이인성
    • 한국음향학회지
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    • 제22권2호
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    • pp.96-103
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    • 2003
  • 본 논문은 매칭 퍼슈잇 (Matching Pursuit)에 인지적인 가중치를 사용하여 오디오 신호를 정현파 모델링하는 것에 대해 기술한다. 매칭 퍼슈잇은 입력 신호에서 에너지가 가장 큰 성분들을 반복적으로 추출해 원 신호와 재생 신호의 차이가 영에 도달될 때까지 계속된다. 본 논문에서는 매칭 퍼슈잇에 심리음향모델을 사용한 인지적인 매칭 퍼슈잇으로 입력 신호로부터 인지적으로 중요한 성분을 차례대로 추출하였다 인지적인 매칭 퍼슈잇의 성능을 평가하기 위해 인지적인 가중치를 주지 않은 정현파 매칭 퍼슈잇과 비교 평가하였다. 여러 가지 입력 신호에 대한 실험 결과 정현파 매칭 퍼슈잇보다 인지적인 매칭 퍼슈잇의 성능이 좋았고, 특히 시간축 변화율이 큰 신호일 경우에 인지적인 매칭 퍼슈잇을 통해 원래 신호의 음질을 더 잘 복원할 수 있었음을 확인하였다.

A decoupling FEM for simulating near-field wave motion in two-phase media

  • Chen, S.L.;Liao, Z.P.;Chen, J.
    • Structural Engineering and Mechanics
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    • 제25권2호
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    • pp.181-200
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    • 2007
  • A decoupling technique for simulating near-field wave motions in two-phase media is introduced in this paper. First, an equivalent but direct weighted residual method is presented in this paper to solve boundary value problems more explicitly. We applied the Green's theorem for integration by parts on the equivalent integral statement of the field governing equations and then introduced the Neumann conditions directly. Using this method and considering the precision requirement in wave motion simulation, a lumped-mass FEM for two-phase media with clear physical concepts and convenient implementation is derived. Then, considering the innate attenuation character of the wave in two-phase media, an attenuation parameter is introduced into Liao's Multi-Transmitting Formula (MTF) to simulate the attenuating outgoing wave in two-phase media. At last, two numerical experiments are presented and the numerical results are compared with the analytical ones demonstrating that the lumped-mass FEM and the generalized MTF introduced in this paper have good precision.

유한요소법에 의한 초고압 OF 케이블 접속재의 주도해석에 관한 연구 (Study on the Thermal Analysis of Extra-High Voltage OF Cable Accessories using Finite Element Method)

  • 이종범;강동식;강도현;이수현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1989년도 추계학술대회 논문집 학회본부
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    • pp.211-215
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    • 1989
  • This paper presents the thermal analysis of EHV OF cable accessories using FEM. The governing equation about the temperature in the cable accessories is induced by the energy balance equation. Since the temperature distribution is a function of space and time, the weighted residual method is adopted for FEM formulation. The difference approximation is used to treat the time differential term in the element equation. Automatic mesh generation which save time and labor is introduced for the data input process. It will be expected that the following thermal analysis result will be very useful to cable accessories design.

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너셀부 전단력을 고려한 타워-블레이드 연성계의 고유치 해석 (Eigenvalue Analysis of a Coupled Tower-blade System Considering the Shear Forces of a Nacelle)

  • 김민주;강남철
    • 한국소음진동공학회논문집
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    • 제21권6호
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    • pp.514-520
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    • 2011
  • Eigenvalue analysis of a wind turbine system was investigated analytically. It is derived that the equations of motion of a tower and a blade are coupled by shear forces inter-connected by boundary conditions. The eigenvalues of the coupled system was calculated using Galerkin method and it is found that the system becomes unstable when the tower and blade modes are coalesced. Further, parameter studies for the eigenvalues were performed with respect to the rotating speed of a blade, nacelle mass, blade and tower densities.

Free vibration analysis Silicon nanowires surrounded by elastic matrix by nonlocal finite element method

  • Uzun, Busra;Civalek, Omer
    • Advances in nano research
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    • 제7권2호
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    • pp.99-108
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    • 2019
  • Higher-order theories are very important to investigate the mechanical properties and behaviors of nanoscale structures. In this study, a free vibration behavior of SiNW resting on elastic foundation is investigated via Eringen's nonlocal elasticity theory. Silicon Nanowire (SiNW) is modeled as simply supported both ends and clamped-free Euler-Bernoulli beam. Pasternak two-parameter elastic foundation model is used as foundation. Finite element formulation is obtained nonlocal Euler-Bernoulli beam theory. First, shape function of the Euler-Bernoulli beam is gained and then Galerkin weighted residual method is applied to the governing equations to obtain the stiffness and mass matrices including the foundation parameters and small scale parameter. Frequency values of SiNW is examined according to foundation and small scale parameters and the results are given by tables and graphs. The effects of small scale parameter, boundary conditions, foundation parameters on frequencies are investigated.

Practical formula for determining peak acceleration of footbridge under walking considering human-structure interaction

  • Cao, Liang;Zhou, Hailei;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • 제83권6호
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    • pp.729-744
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    • 2022
  • In this paper, an analytical formulation is proposed to predict the vertical vibration response due to the pedestrian walking on a footbridge considering the human-structure interaction, where the footbridge and pedestrian are represented by the Euler beam and linear oscillator model, respectively. The derived coupled equation of motion is a nonlinear fourth-order partial differential equation. An uncoupled solution strategy based on the combined weighted residual and perturbation method) is proposed to reduce the tedious computation, which allows the separate integration between the bridge and pedestrian subsystems. The theoretical study demonstrates that the pedestrian subsystem can be treated as a structural system with added mass, damping, and stiffness. The analysis procedure is then applied to a case study under the conditions of single pedestrian and multi pedestrians, and the results are validated and compared numerically. For convenient vibration design of a footbridge, the simplified peak acceleration formula and the idea of decoupling problem are thus proposed.

Interval prediction on the sum of binary random variables indexed by a graph

  • Park, Seongoh;Hahn, Kyu S.;Lim, Johan;Son, Won
    • Communications for Statistical Applications and Methods
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    • 제26권3호
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    • pp.261-272
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    • 2019
  • In this paper, we propose a procedure to build a prediction interval of the sum of dependent binary random variables over a graph to account for the dependence among binary variables. Our main interest is to find a prediction interval of the weighted sum of dependent binary random variables indexed by a graph. This problem is motivated by the prediction problem of various elections including Korean National Assembly and US presidential election. Traditional and popular approaches to construct the prediction interval of the seats won by major parties are normal approximation by the CLT and Monte Carlo method by generating many independent Bernoulli random variables assuming that those binary random variables are independent and the success probabilities are known constants. However, in practice, the survey results (also the exit polls) on the election are random and hardly independent to each other. They are more often spatially correlated random variables. To take this into account, we suggest a spatial auto-regressive (AR) model for the surveyed success probabilities, and propose a residual based bootstrap procedure to construct the prediction interval of the sum of the binary outcomes. Finally, we apply the procedure to building the prediction intervals of the number of legislative seats won by each party from the exit poll data in the $19^{th}$ and $20^{th}$ Korea National Assembly elections.

회전쉘의 동적 특성에 관한 연구 (Dynamic Characteristics of Revolution Shells)

  • Park, Sung-Jin
    • 한국재난정보학회 논문집
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    • 제10권1호
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    • pp.123-140
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    • 2014
  • 회전쉘의 정적문제 및 동적문제에 대해서 선점법에 의한 공간영역의 이산화에 대한 유효성을 비교 검토하였고, 정식화에 있어서 이산화 후의 연립방정식 및 시간에 관한 연립상미분방정식의 계수행렬에 대한 영향을 검토하였다. 수치해석법에는 동적특성의 문제를 간단하고 효과적인 방법을 위하여 선점법을 제안하였으며, 수치해석예로서 평균2승잔차법과의 비교검토로 고정도의 해석을 위한 정확성을 검증하였다.

전자파의 과도적 산란 특성에 관한 새로운 수치해석 연구 (On the Study of New Numerical Analysis in the Transient Electromagnetic Wave Scattering)

  • 이강호;이상회;김정기
    • 한국통신학회논문지
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    • 제15권1호
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    • pp.1-8
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    • 1990
  • 본 논문에서는 유전체 원통주의 전자파 과도 응답 산란 특성을 새로운 수치 해석 방법으로 연구하낟. 수치 해석에 사용하는 경계적분 방정식(BIE)의 기본 수식은 가중 잔차법으로 부터 시작된다. 경계 적분 방정식을 확장 경계 조건과 표면 경계 조건을 물체의 표면점 내부와 외부에 적용시켜 두개의 연립방정식을 만든다. 수치해석으로 경계요소법을 사용하고, 이 방법에는 직접법과 간접법 두 가지가 있다. 그래서 연산자를 메트릭스 역변환하는 간접법을 수치해석방법으로 사용한다. 결과값은 다른 연구 결과값과 좋은 일치를 보인다.

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다층타원 유전체주의 전자파 산란 해석 (An Analysis of Electromagnetic Wave Scattering for the Elliptic-Multi Layer Dielectric Cylinders)

  • 박동희;김정기
    • 한국전자파학회지:전자파기술
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    • 제2권3호
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    • pp.26-31
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    • 1991
  • The scattering property of TMz illuminated a elliptic dielectric cylinders with arbitrary cross section are analyzed by the boundary element techniques. The boundary element equations are for- mulated via Maxwell's equations, weighted residual of Green's theorem, and the boundary conditions. The unknown surface fields on the boundaries are then calculated by the boundary element integral equations. Once the surface fields are found, the scattered fields in far-zone and scattering widths (SW) are readily determined. To show the validity and usefulness of this formulation, computations are compared with those obtained using analytical method and one layer circular cylinder. As exten- sion to arbitrary cross-sectioned cylinders, plane wave scattering from a elliptic dielectric cylinders are numerically analyzed. A general computer program has been developed using the quadratic ele- ments(Higher order borndary elements) and the Gaussian quadrature.

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