• 제목/요약/키워드: Kirchhoff Method

검색결과 157건 처리시간 0.026초

직교이방성 박판 및 후판의 해석연구 (Study on the Analysis of Orthotropic Thin Plates and Orthotropic Thick Plates)

  • 박원태;최재진
    • 한국산학기술학회논문지
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    • 제4권2호
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    • pp.76-80
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    • 2003
  • 본 연구에서는 직교이방성 박판 및 후판의 휨문제에 대한 해석결과를 제시하였다. 수치해석방법으로는 유한요소법을 사용하였으며, 직교이방성판 휨문제에 대한 지배방정식은 Kirchhoff가정에 의한 박판이론과 Mindlin 가정에 의한 후판이론을 이용하여 유도하였으며 판의 폭-두께비의 변화에 따른 해석결과를 비교 검토하였다.

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효율적 실내 소음 저감을 위한 흡음재 분포 위치 결정 방법 (A Method to Arrange Absorptive Materials on Walls for Effective Interior Noise Control)

  • 김양한;조성호
    • 한국소음진동공학회논문집
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    • 제14권4호
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    • pp.303-309
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    • 2004
  • Absorptive material arrangement method for effective interior noise control is proposed. Sound field with arbitrary boundary condition is formulated by Kirchhoff-Helmholtz integral equation. A simple example such as a rectangular cavity will present physical meaning between changing boundary condition and control of sound field. The effect of changing boundary condition is expressed in modal admittance. From this formulation. an admittance map is presented. The admittance map is the figure to represent position where absorptive material is attached for effective interior noise control. The admittance map can be assigned to each resonant frequency. There. however, may be common area of those maps. Then, frequency robust arrangement of absorptive material in noise control will be presented.

Analysis of stiffened plates composed by different materials by the boundary element method

  • Fernandes, Gabriela R.;Neto, Joao R.
    • Structural Engineering and Mechanics
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    • 제56권4호
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    • pp.605-623
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    • 2015
  • A formulation of the boundary element method (BEM) based on Kirchhoff's hypothesis to analyse stiffened plates composed by beams and slabs with different materials is proposed. The stiffened plate is modelled by a zoned plate, where different values of thickness, Poisson ration and Young's modulus can be defined for each sub-region. The proposed integral representations can be used to analyze the coupled stretching-bending problem, where the membrane effects are taken into account, or to analyze the bending and stretching problems separately. To solve the domain integrals of the integral representation of in-plane displacements, the beams and slabs domains are discretized into cells where the displacements have to be approximated. As the beams cells nodes are adopted coincident to the elements nodes, new independent values arise only in the slabs domain. Some numerical examples are presented and compared to a wellknown finite element code to show the accuracy of the proposed model.

Free vibration analysis of Reissner plates by mixed finite element

  • Eratli, Nihal;Akoz, A. Yalcin
    • Structural Engineering and Mechanics
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    • 제13권3호
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    • pp.277-298
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    • 2002
  • In this study, free vibration analysis of Reissner plates on Pasternak foundation is carried out by mixed finite element method based on the G$\hat{a}$teaux differential. New boundary conditions are established for plates on Pasternak foundation. This method is developed and applied to numerous problems by Ak$\ddot{o}$z and his co-workers. In dynamic analysis, the problem reduces to the solution of a standard eigenvalue problem and the mixed element is based upon a consistent mass matrix formulation. The element has four nodes and bending and torsional moments, transverse shear forces, rotations and displacements are the basic unknowns. The element performance is assessed by comparison with numerical examples known from literature. Validity limits of Kirchhoff plate theory is tested by dynamic analysis. Shear locking effects are tested as far as $h/2a=10^{-6}$ and it is observed that REC32 is free from shear locking.

전압을 압력전원으로 한 선형 유도전동기의 유한 요소법에 의한 자계해석에 관한 연구 (A Study on The Magnetic Field Analysis of Linear Induction Motor with Votage Source by Finite Element Method)

  • 임달호;최창규;조윤현;이갑제
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1989년도 하계종합학술대회 논문집
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    • pp.24-27
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    • 1989
  • In the case of analyzing electric machinery by finite element method, so far, magnetic current was selected as a driving source. But terminal voltage is a driving source in real systems, and magnetic current is varied according to variation of load conditions. Therfore, in this paper magnetic flux distribution of linear induction motor was analized by using kirchhoff's second law with voltage as a driving source, and magnetic current was calculated.

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mm파 컬러게이트 휘드 혼 안테나의 설계법 (Design Method for the Millimeter Wave Corrugated Feed Horn Antenna)

  • 손태호;박영태;한석태
    • 한국전자파학회:학술대회논문집
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    • 한국전자파학회 2003년도 종합학술발표회 논문집 Vol.13 No.1
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    • pp.487-491
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    • 2003
  • Design procedure of corrugated horn antenna for mm-wave frequency range is presented, and hybrid condition in horn is calculated. Balanced hybrid mode should be converted in the horn from TE11 mode by the proper corrugation dimensions which size are available to be fabricated under the mm-wave short wavelength condition. In this paper, corrugate profiles which satisfy both hybrid condition and fabrication possibility are obtained.. By cylindrical mode theory, the electromagnetic fields both inside hem and corrugation are delivered. Propagation characteristics in hem is calculated by the mode impedance matching method with boundary conditions, and radiation fields are obtained by the Kirchhoff-Hyugen principle to the hem aperture fields. A mm-wave corrugated horn operates on 85 - 115GHz is designed and fabricated, and results of measurement are also shown.

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자동차 Cooling Fan용 비등각 축류홴 소음해석 (Acoustic Analysis of Unevenly Pitched Fan of Automobile Cooling Pack System)

  • 송우석;이정수;김주용;이승배
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2004년도 유체기계 연구개발 발표회 논문집
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    • pp.567-571
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    • 2004
  • The 2-dimensional unsteady flows on and around the cambered airfoils were computed by applying LES with the deductive dynamic SGS model. The unsteady flow field were used as inputs to compute the far-field sounds and directivity patterns from rotating blades by a hybrid approach that exploits Farassat's formula. The BEM (Boundary Element Method) was applied to predict the frequency characteristics from the rotating blades for the cases of even- and uneven-pitched fans. The BEM results suggested that the unevenly pitched fan have less pronounced discrete peaks at BEF frequencies, which was confirmed by the experiment.

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An efficient Galerkin meshfree analysis of shear deformable cylindrical panels

  • Wang, Dongdong;Wu, Youcai
    • Interaction and multiscale mechanics
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    • 제1권3호
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    • pp.339-355
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    • 2008
  • A Galerkin meshfree method is presented for analyzing shear deformable cylindrical panels. Based upon the analogy between the cylindrical panel and the curved beam a pure bending mode for cylindrical panel is rationally constructed. The meshfree approximation employed herein is characterized by an enhanced moving least square or reproducing kernel basis function that can exactly represent the pure bending mode and thus meets the requirement of Kirchhoff mode reproducing condition. The variational form is discretized using the efficient stabilized conforming nodal integration with a smoothed nodal gradient based curvature. The resulting meshfree formulation satisfies the integration constraint for bending exactness. Moreover, it is shown here that the smoothed gradient preserves several desired properties which are valid for the standard gradient obtained by direct differentiation, such as partition of nullity and reproduction of a constant strain field. The efficacy of the proposed approach is demonstrated by two benchmark cylindrical panel examples.

Axisymmetric bending of a circular plate with stiff edge on a soft FGM layer

  • Volkov, Sergey S.;Litvinenko, Alexander N.;Aizikovich, Sergey M.;Wang, Yun-Che;Vasiliev, Andrey S.
    • Structural Engineering and Mechanics
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    • 제59권2호
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    • pp.227-241
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    • 2016
  • A circular plate with constant thickness, finite radius and stiff edge lying on an elastic halfspace is considered. The half-space consists of a soft functionally graded (FGM) layer with arbitrary varying elastic properties and a homogeneous elastic substrate. The plate bends under the action of arbitrary axisymmetric distributed load and response from the elastic half-space. A semi-analytical solution for the problem effective in whole range of geometric (relative layer thickness) and mechanical (elastic properties of coating and substrate, stiffness of the plate) properties is constructed using the bilateral asymptotic method (Aizikovich et al. 2009). Approximated analytical expressions for the contact stresses and deflections of the plate are provided. Numerical results showing the qualitative dependence of the solution from the initial parameters of the problem are obtained with high precision.

전류분배계수를 사용하는 병행 2회선 송전선로 고장점 표정 알고리즘 (Current Distribution Factor Based Fault Location Algorithms for Double-circuit Transmission Lines)

  • 안용진;강상희;최면송;이승재
    • 대한전기학회논문지:전력기술부문A
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    • 제50권3호
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    • pp.146-152
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    • 2001
  • This paper describes an accurate fault location algorithm based on sequence current distribution factors for a double-circuit transmission system. The proposed method uses the voltage and current collected at only the local end of a single-circuit. This method is virtually independent of the fault resistance and the mutual coupling effect caused by the zero-sequence current of the adjacent parallel circuit and insensitive to the variation of source impedance. The fault distance is determined by solving the forth-order KVL(Kirchhoff's Voltage Law) based distance equation. The zero-sequence current of adjacent circuit is estimated by using a zero-sequence current distribution factor and the zero-sequence current of the self-circuit. Thousands of fault simulation by EMTP have proved the accuracy and effectiveness of the proposed algorithm.

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