• 제목/요약/키워드: Kirchhoff's Method

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Smooth Background Model(SBM)을 이용한 가중 키리히호프 중합전 심도구조보정 (Weighted Kirchhoff Prestack Depth Migration using Smooth Background Model)

  • 고승원;양승진;신창수
    • 지구물리와물리탐사
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    • 제4권3호
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    • pp.84-88
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    • 2001
  • 탄성파 구조보정에서 초기속도모델과 실제지층속도와의 오차는 심각한 이미지 왜곡을 초래할 수 있다. 따라서, 초기속도 모델의 설정은 성공적인 구조보정을 위한 중요한 요소 중의 하나이다. 초기속도모델로서 단순지층 모델을 적용할 경우, 속도 차가 큰 지층경계면에서는 기존의 주시계산 방법으로는 정확한 주시를 계산할 수 없다. 또한 실제 지하내부가 갖는 선형적 속도변화를 적절히 표현할 수 없다. 본 연구에서 초기모델로 적용한 Smooth Background Model(이하 SBM)은 깊이에 따라 지층속도가 선형적으로 변화하는 모델로서 지하내부의 특성을 적절히 표현할 수 있고, Vidale 방법과 같은 주시계산 알고리즘을 적절히 적용할 수 있다. 본 연구에서는 중합전 구조보정을 위해 키리히호프 연산자를 사용하였으며 모델링을 통해 얻은 절대 진폭값을 가중치로 적용하므로써 초기 모델에 대한 진진폭을 고려하였다. 구조보정을 위한 초기모델은 중합속도를 이용하여 결정하였고, 이를 실제자료에 적용하여 보았다.

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Small scale effect on the vibration of non-uniform nanoplates

  • Chakraverty, S.;Behera, Laxmi
    • Structural Engineering and Mechanics
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    • 제55권3호
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    • pp.495-510
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    • 2015
  • Free vibration of non-uniform embedded nanoplates based on classical (Kirchhoff's) plate theory in conjunction with nonlocal elasticity theory has been studied. The nanoplate is assumed to be rested on two-parameter Winkler-Pasternak elastic foundation. Non-uniform material properties of nanoplates have been considered by taking linear as well as quadratic variations of Young's modulus and density along the space coordinates. Detailed analysis has been reported for all possible casesof such variations. Trial functions denoting transverse deflection of the plate are expressed in simple algebraic polynomial forms. Application of the present method converts the problem into generalised eigen value problem. The study aims to investigate the effects of non-uniform parameter, elastic foundation, nonlocal parameter, boundary condition, aspect ratio and length of nanoplates on the frequency parameters. Three-dimensional mode shapes for some of the boundary conditions have also been illustrated. One may note that present method is easier to handle any sets of boundary conditions at the edges.

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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2차원 유한요소법에 의한 SLIM의 3차원적 특성 해석 (A 3 Dimensional Characteristic Analysis of SLIM by the 2-D Finite Element Method)

  • 조윤현;김용주;신판석;강도현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1990년도 추계학술대회 논문집 학회본부
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    • pp.37-42
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    • 1990
  • In order to obtain optimal design criteria and operating parameters, a Single-sided Linear Induction Motor (SLIM) is analysed by using a 2-D finite element method with magnetic and current vector potential. In the analysing procedures, the governing equation is derived from Maxwell's equation combined with the magnetic vector potential. As a forcing term, 3-phase voltage source is employed using the Kirchhoff's voltage law in order to look into effects of the unbalanced 3-phase currents and air gap flux density. Also, 2ndary eddy current distribution, longitudinal end and transverse edge effects are in turns visualized by flux lines in 3 different analysing planes as functions of frequency and input power.

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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.

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.

Buckling analysis of thin-walled circular hollow section members with and without longitudinal stiffeners

  • Cuong, Bui H.
    • Structural Engineering and Mechanics
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    • 제81권2호
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    • pp.231-242
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    • 2022
  • Numerical solutions for the linear buckling behavior of thin-walled circular hollow section members (CHS) with and without longitudinal stiffeners are presented using the semi-analytical finite strip method (SAFSM) which is developed based on Marguerre's shallow shell theory and Kirchhoff's assumption. The formulation of 3-nodal line finite strip is presented. The CHS members subjected to uniform axial compression, uniform bending, and combination of compression and bending. The buckling behavior of CHS is investigated through buckling curves which relate buckling stresses to lengths of the member. Effects of longitudinal stiffeners are studied with the change of its dimensions, position, and number.

KRM 모델을 이용한 전갱이의 다주파수 음향산란특성 (Multifrequency acoustic scattering characteristics of jack mackerel by KRM model)

  • 황강석;윤은아;이경훈;이형빈;황두진
    • 수산해양기술연구
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    • 제51권3호
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    • pp.424-431
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    • 2015
  • This study was focused on acoustic scattering characteristics of jack mackerel (Trachurus japonicus) at frequency 38, 70, and 120 kHz by Kirchhoff-ray mode (KRM) model. The body length (BL) of 16 individuals ranged in 12.2~22.0 cm ($mean{\pm}S.D.$: $17.8{\pm}3.2cm$) and the swimbladder length ranged in 4.2~8.6 cm ($mean{\pm}S.D.$: $6.6{\pm}1.6cm$) and the swimbladder cross section ranged in $1.7{\sim}6.6cm^2$ ($mean{\pm}S.D.$: $3.8{\pm}1.6cm^2$). This result shows that results correlate well between the BL and the length and cross section of swimbladder. The swimbladder angle ranged in $7{\sim}12^{\circ}$ and the maximum TS values ranged in $-16{\sim}-5^{\circ}$ at tilt angle. The averaged TS-to-BL relationship were $TS_{38kHz}=20{\log}_{10}BL-65.33$ ($R^2=0.66$), $TS_{70kHz}=20{\log}_{10}BL-65.90$ ($R^2=0.67$), and $TS_{120kHz}=20{\log}_{10}BL-66.65$ ($R^2=0.65$). These results can be used fundamental data in order to estimate distribution and biomass of jack mackerel by using hydro-acoustic method.

2차원 프레넬 존 플레이트 안테나 해석 (2-Dimensional Analysis of Fresnel Zone Plate Antenna)

  • 김태용;조형국
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2011년도 춘계학술대회
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    • pp.55-57
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    • 2011
  • 위성 TV 시스템, 전파 망원경, 측지 시스템 등에 응용 가능한 프레넬 존 플레이트 렌즈 안테나의 수신 이득 특성을 해석하기 위하여 TLM법으로 계산을 수행하였다. TLM법에 의한 계산결과를 확인하기 위하여 키르히호프 및 PO법에 의한 광학 해와 비교하였다. 계산 결과, 12 GHz대의 FZPL의 중심축 상에서의 수신 특성은 설계 초점거리에 비하여 약 25% 전방에서 형성되는 것을 알 수 있었다.

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A novel meshfree model for buckling and vibration analysis of rectangular orthotropic plates

  • Bui, Tinh Quoc;Nguyen, Minh Ngoc
    • Structural Engineering and Mechanics
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    • 제39권4호
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    • pp.579-598
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    • 2011
  • The present work mainly reports a significant development of a novel efficient meshfree method for vibration and buckling analysis of orthotropic plates. The plate theory with orthotropic materials is followed the Kirchhoff''s assumption in which the only deflection is field variable and approximated by the moving Kriging interpolation approach, a new technique used for constructing the shape functions. The moving Kriging technique holds the Kronecker delta property, thus it makes the method efficiently in imposing the essential boundary conditions and no special techniques are required. Assessment of numerical results is to accurately illustrate the applicability and the effectiveness of the proposed method in the class of eigenvalue problems.