• Title/Summary/Keyword: boundary method

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Buckling analysis of composite plates using differential quadrature method (DQM)

  • Darvizeh, M.;Darvizeh, A.;Sharma, C.B.
    • Steel and Composite Structures
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    • v.2 no.2
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    • pp.99-112
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    • 2002
  • The differential quadrature method (DQM) is a numerical technique of rather recent origin, which by its continually increasing applications in different problems of engineering, is a competing alternative to the conventional numerical techniques for the solution of initial and boundary value problems. The work of this paper concerns the application of the DQM in the area of the buckling of multi layered orthotropic composite plates with various boundary conditions the buckling of multi layered composite plates with constant and variable thickness under axial compressive static loading is considered. The effects of fiber orientation and boundary conditions on static behavior of composite plates are presented. The comparison of results from the present method and those obtained from NISA II software shows the accuracy and reliability of this method.

Development of Three-Dimensional Numerical Wave Tank by Using the High-Order Spectral/Boundary-Element Method -Waves Generated by a Uniformly Translating Surface Pressure (고차 스펙트럴/경계요소법을 이용한 3차원 수치 파수조의 개발-균일속도로 전진하는 표면압력에 의한 조파현상-)

  • Kim, Young-Jig;Lee, Young-Woo;Hong, Ji-Hoon
    • Journal of Ocean Engineering and Technology
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    • v.13 no.1 s.31
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    • pp.113-120
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    • 1999
  • In this paper, mathematical formulation of the high-order spectral/boundary-element method is shown. This method is one of the most efficient numerical methods by which the nonlinear gravity waves can be simulated in time-domain. Three-dimensional waves generated by a uniformly translating suriace pressure are calculated and discussed. The obtained results are compared with others results, The comparisons show good agreements.

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Circuit Parameters and Characteristic Analysis of Condenser Run Single Phase Induction Motor by Combine Equivalent Circuit with Numerical Method (등가회로법과 수치해석의 결합에 의한 콘덴서 구동형 단상 유도전동기의 회로정수 산정 및 특성해석)

  • Kang, Gyu-Hong;Ha, Kyung-Ho;Hong, Jung-Pyo;Kim, Gyu-Tak;Jeong, Seung-Kyu
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.11
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    • pp.720-728
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    • 2000
  • This paper describes the calculation of the equivalent circuit parameters and the characteristic analysis of a capacitor-run type single-phase induction motor by means of the finite element method in coupled with the conventional equivalent circuit model. The circuit parameters of the stator are calculated form the lumped parameter and the slot leakage reactance of the rotor with the closed slot can be obtained by the use of slot pitch boundary condition. From the analysis result this combined equivalent circuit and finite element method which is used slot pitch boundary condition is compared with the experimental results, the validity of the method is proved.

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Application of Immersed Boundary Method for Flow Over Stationary and Oscillating Cylinders

  • Lee Dae-Sung;Ha Man-Yeong;Kim Sung-Jin;Yoon Hyun-Sik
    • Journal of Mechanical Science and Technology
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    • v.20 no.6
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    • pp.849-863
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    • 2006
  • IBM (Immersed Boundary Method) with feedback momentum forcing was applied to stationary and moving bodies. The capability of IBM to treat the obstacle surfaces, especially with moving effect has been tested for two dimensional problems. Stationary and oscillating cylinders were simulated by using IBM based on finite volume method with Cartesian coordinates. For oscillating cylinder, lateral and vertical motions are considered, respectively. Present results such as time histories of drag and lift coefficients for both stationary and oscillating cases are in good agreement with previous numerical and experimental results. Also, the instantaneous wake patterns of oscillating cylinder with different oscillating frequency ratios well represented those of previous researches. More feasibility study for IBM has been carried out to two oscillating cylinders. Drag and lift coefficients are presented for two cylinders oscillating sinusoidally with phase difference of $180^{\circ}$.

Free vibration analysis of uniform and stepped functionally graded circular cylindrical shells

  • Li, Haichao;Pang, Fuzhen;Du, Yuan;Gao, Cong
    • Steel and Composite Structures
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    • v.33 no.2
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    • pp.163-180
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    • 2019
  • A semi analytical method is employed to analyze free vibration characteristics of uniform and stepped functionally graded circular cylindrical shells under complex boundary conditions. The analytical model is established based on multi-segment partitioning strategy and first-order shear deformation theory. The displacement functions are handled by unified Jacobi polynomials and Fourier series. In order to obtain continuous conditions and satisfy complex boundary conditions, the penalty method about spring technique is adopted. The solutions about free vibration behavior of functionally graded circular cylindrical shells were obtained by approach of Rayleigh-Ritz. To confirm the dependability and validity of present approach, numerical verifications and convergence studies are conducted on functionally graded cylindrical shells under various influencing factors such as boundaries, spring parameters et al. The present method apparently has rapid convergence ability and excellent stability, and the results of the paper are closely agreed with those obtained by FEM and published literatures.

Stress analysis with arbitrary body force by triple-reciprocity BEM

  • Ochiai, Y.;Kobayashi, T.
    • Structural Engineering and Mechanics
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    • v.10 no.4
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    • pp.393-404
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    • 2000
  • Linear stress analysis without body force can be easily solved by means of the boundary element method. Some cases of linear stress analysis with body force can also be solved without a domain integral. However, domain integrals are generally necessary to solve the linear stress problem with arbitrary body forces. This paper shows that the linear stress problem with arbitrary body forces can be solved approximately without a domain integral by the triple-reciprocity boundary element method. In this method, the distribution of arbitrary body forces can be interpolated by the integral equation. A new computer program is developed and applied to several problems.

Eigenvalue Analysis of Rectangular Mindlin Plates by Chebyshev Pseudospectral Method

  • Lee, Jinhee
    • Journal of Mechanical Science and Technology
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    • v.17 no.3
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    • pp.370-379
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    • 2003
  • A study of free vibration of rectangular Mindlin plates is presented. The analysis is based on the Chebyshev pseudospectral method, which uses test functions that satisfy the boundary conditions as basis functions. The result shows that rapid convergence and accuracy as well as the conceptual simplicity are achieved when the pseudospectral method is applied to the solution of eigenvalue problems. Numerical examples of rectangular Mindlin plates with clamped and simply supported boundary conditions are provided for various aspect ratios and thickness-to length ratios.

Capacitance matrix method for petrov-galerkin procedure

  • Chung, Sei-Young
    • Journal of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.461-470
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    • 1995
  • In this paper a capacitance matrix method is developed for the Poisson equation on a rectangle $$ (1-1) Lu \equiv -(u_{xx} + u_{yy} = f, (x, y) \in \Omega \equiv (0, 1) \times (0, 1) $$ with the homogeneous Dirichlet boundary condition $$ (1-2) u = 0, (x, y) \in \partial\Omega $$ where $\partial\Omega$ is the boundary of the region $\Omega$.

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Analytical Decision Boundary Feature Extraction for Neural Networks (신경망을 위한 해석적 결정경계 특징추출 알고리즘)

  • 고진욱;이철희
    • Proceedings of the IEEK Conference
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    • 2000.06c
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    • pp.177-180
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    • 2000
  • Recently, a feature extraction method based on decision boundary has been proposed for neural networks. The method is based on the fact that all the features necessary to achieve the same classification accuracy as in the original space can be obtained from the vectors normal to decision boundaries. However, the normal vector was estimated numerically. resulting in inaccurate estimation and a long computational time. In this paper. we propose a new method to calculate the normal vector analytically. Experiments show that the proposed method provides a better performance.

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The Characteristic of Radiation Efficiency from Harmonic-excited Cylindrical Radiator (조화 가진에 의한 원통형 음향 방사기의 방사 효율 특성)

  • 김관주;최승권
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.516-523
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    • 1998
  • Radiation efficiency of a cylindrical shell whose surface vibrates under harmonic distribution is investigated by theoretical solutions and Boundary Element Method. The vibration modes of a cylindrical shell is determined from experiment and is compared with the result of Finite Element Method. Harmonic vibration response of the cylindrical shell under the point excitation and the radiation phenomena from its response is analyzed by Finite Element Method and Boundary Element Method.

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