• Title/Summary/Keyword: Arbitrary Boundary Condition

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The Experimental Method to Identify The Boundary Condition of Vibrating Structure (진동 구조물의 경계조건을 실험적으로 구하는 방법)

  • Kim, Young-Ju;Kim, Yang-Hann
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.525-530
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    • 2000
  • The vibration shape of the structure with arbitrary boundary condition under excitation is determined by the governing equation and the boundary condition and driving force. In this paper, driving point impedance that is defined by the ratio of the driving force at one point to the velocity of that point is selected as a measure to identify the boundary condition. First, this paper deals with a string with arbitrary boundary condition. It is selected because of its simplicity, but generality of which exhibits the desired physical phenomena. Particularly the relation among the driving point impedance, the boundary condition and the vibration shape is dealt as a primary step to identify the boundary condition by using the driving point impedance.

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Elasto-Plastic Contact Analysis for a Rigid Surface with an Arbitrary Shape in SPH (SPH에서 임의 형상의 강체면에 대한 탄소성 접촉 해석)

  • Seo, Song-Won;Lee, Jae-Hoon;Min, Oak-Key
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.450-455
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    • 2004
  • There is few research about contact problem for a rigid surface with an arbitrary shape in SPH. The variational equation based on the virtual work principle is derived and its solution is obtained by the penalty method. It is proposed a new method that can determine the parameters for a penetration and a penetration rate used in the penalty method. The reproducing condition is adopted to correct the deficiency of kernel on the boundary. In order to calculate a penetration of particles, after checking boundary particles for deformable body boundary normal vectors were determined on the rigid surface. Numerical simulations for models which have rigid surface with an arbitrary shape were conducted to validate the proposed method in 2D. The results of those analysis represent that the contact algorithm proposed in this study works properly.

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SPH Algorithm for an Elasto-Plastic Contact Analysis on a Rigid Surface with an Arbitrary Shape (임의 형상의 강체면 탄소성 접촉 해석을 위한 SPH 알고리듬)

  • Lee Jaehoon;Min Oakkey;Seo Songwon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.1 s.232
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    • pp.30-37
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    • 2005
  • There is few research about contact problem for a rigid surface with an arbitrary shape in SPH. The variational equation based on the virtual work principle is derived and its solution is obtained by the penalty method. It is proposed a new method that can determine the parameters for a penetration and a penetration rate used in the penalty method. The reproducing condition is adopted to correct the deficiency of kernel on the boundary. In order to calculate a penetration of particles, after checking boundary particles for deformable body, boundary normal vectors were determined on the rigid surface. Numerical simulations for models which have rigid surface with an arbitrary shape were conducted to validate the proposed method in 2D Cartesian and cylindrical coordinate. The results of those analysis represent that the contact algorithm proposed in this study works properly.

UNIVERSAL DISPERSION EQUATION FOR MAGNETOSTATIC WAVES(MSW)

  • Wenzhong, Hu
    • Journal of the Korean Magnetics Society
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    • v.5 no.5
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    • pp.383-386
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    • 1995
  • A universal dispersion equation for magnetostatic waves(MSW) propagating in the film with arbitrary-multiple magnetic layers magnetized in an arbitrary direction was derived with a matching boundary condition method. The computing result curves of delay time were shown.

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EFFECT OF THE BOUNDARY CONDITION OF REDISTANCE EQUATION ON THE LEVEL SET SOLUTION OF SLOSHING PROBLEM (Redistance 방정식의 경계조건이 슬로싱 문제의 level set 해석에 미치는 영향)

  • Choi, H.G.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.04a
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    • pp.165-169
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    • 2009
  • The effect of the Dirichlet boundary condition for the redistance equation of level set method on the solutionof sloshing problem is investigated by adopting four Dirichlet boundary conditions. For the solution of the incompressible Navier-Stokes equations, P1P1 four-step fractional finite element method is employed and a least-square finite element method is used for the solutions of the two hyperbolic type equations of level set method; advection and redistance equation. ALE (Arbitrary Lagrangian Eulerian) method is used to deal with a moving computational domain. It has been shown that the free surface motion in a sloshing tank is strongly dependent on the type of the Dirichlet boundary condition and the results of broken dam and sloshing problems using various Dirichlet boundary conditions are discussed and compared with the existing experimental results.

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Wave Propagation Characteristics along a Catenary with Arbitrary Boundary Conditions (임의의 경계조건을 갖는 가선계의 파동 현상에 대한 고찰)

  • 김양한;박연규;김시문;노현석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.11
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    • pp.2059-2071
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    • 1992
  • The characteristics of wave propagation along a catenary in rail electrification system depend on the boundary impedance, characteristic impedance of catenary, and the contact force of pantograph moving along the catenary. In this study, the wave propagation along catenary is studied with arbitrary boundary conditions and characteristic impedance of catenary. The reflection and transmission of waves through the boundaries of catenary and the propagation of waves along the catenary are found to be dependent on the wave length.

Vibration Analysis of Special Orthotropic Plate with Non-uniform Cross-Section and with Arbitrary Boundary Condition (변단면과 경계조건에 따른 특별직교이방성판의 진동해석)

  • 김덕현;원치문;이정호;홍창우
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.4
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    • pp.563-571
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    • 1999
  • 변단 면과 다양한 경계조건을 갖는 보와 타워구조물의 제1모드에서의 고유진동수를 구하는 정확한 해는 1974년에 Kim에 의해 발표되었다. 최근 이 방법은 복합재료 적층 판을 포함하는 2차원 문제의 제 1모드 진동해석에 확장되었으며, 다양한 경계조건과 불규칙 단면을 갖는 판에 매우 효과적이다. 이 논문에서는 변단 면과 경계조건에 따른 특별직교 이방성 판에 대한, Kim에 의해 개발된 간편한 진동해석 방법의 응용결과가 주어진다. 또한 집중하중들에 대한 영향이 연구되었다.

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Nonlinear Liquid Sloshing Analysis in a Cylindrical Container by Arbitrary Lagrangian-Eulerian Approach (Arbitrary Lagrangian-Eulerian 기법에 의한 원통형 유체저장구조물 내부유체의 비선형 슬러싱 해석)

  • Kwon, Hyung-O;Cho, Kyung-Hwan;Kim, Moon-Kyum;Lim, Yun-Mook
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.2 s.42
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    • pp.71-80
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    • 2005
  • The solution to a liquid sloshing problem is challenge to the field of engineering. This is not only because the dynamic boundary condition at the free surface is nonlinear, but also because the position of the free surface varies with time in a manner not known a priori. Therefore, this nonlinear phenomenon, which is characterized by the oscillation of the unrestrained free surface of the fluid, is a difficult mathematical problem to solve numerically and analytically. In this study, three-dimensional boundary element method(BEM), which is based on the so-called an arbitrary Lagrangian-Eulerian(ALE) approach for the fluid flow problems with a free surface, was formulated to solve the behavior of the nonlinear free surface motion. An ALE-BEM has the advantage to track the free surface along any prescribed paths by using only one displacement variable, even for a three-dimensional problem. Also, some numerical examples were presented to demonstrate the validity and the applicability of the developed procedure.

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

  • 김양한;조성호
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.4
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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.

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

  • Cho, Sung-Ho;Kim, Yang-Hann
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1702-1707
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    • 2003
  • 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. 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.

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