• Title/Summary/Keyword: boundary method

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A Study for Mutual Interference Between Circular Inclusion and Crack in Finite-Width Plate by Boundary Element Method (경계요소법에 의한 유한폭 판재내의 원형 함유물과 균열의 상호간섭에 대한 연구)

  • 박성완
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1474-1482
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    • 1994
  • In order to study the influence of a circular inclusion on a stress field neat a crack tip, mutual interference of a crack and the circular inclusion is analyzed by using the two dimensional boundary element method program made for the analysis of a bimaterial inclusion. The stress intensity factor of an inclusion which has small stiffness is a little greater than that of large stiffness in the near-by crack tip, and similar values tends to appear for distant crack tips. A line crack shows the repetition phenomena which caused by stress mutual interference depending on the radius and stiffness of an inclusion, and the repetition phenomena becoms weak in the inclusion which has large stiffness. Stress mutual interference shows repetition phenomena after extension of a line crack by the length of the radius of the inclusion which has small stiffness.

A VIRTUAL BOUNDARY METHOD FOR SIMULATION OF FLOW OVER SWIMMING STRINGS

  • Huang, Wei-Xi;Sung, Hyung-Jin
    • 한국전산유체공학회:학술대회논문집
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    • 2006.10a
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    • pp.66-69
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    • 2006
  • In the present study, we propose a virtual boundary method for simulation of massive inextensible flexible strings immersed in viscous fluid flow. The fluid motion is governed by the Navier-Stokes equations and a momentum forcing is added in order to bring the fluid to move at the same velocity with the immersed surface. A massive inextensible flexible string model is described by another set of equations with an additional momentum forcing which is a result of the fluid viscosity and the pressure difference across the string. The momentum forcing is calculated by a feedback loop. Simulations of several numerical examples are carried out, inlcuding a hanging string which starts moving under gravity without ambient fluid, a string swimming within a uniform flow and a uniform flow over two side-by side strings. The numerical results agree well with the theoretical analysis and previous experimental observations. Preliminary results of a swimming elongated fishlike body will also be presented.

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SIMULATION OF ENERGY HARVESTING EEL BY THE IMMERSED BOUNDARY METHOD

  • Jung, Ki-Sung;Huang, Wei-Xi;Sung, Hyung-Jin
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.197-203
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    • 2008
  • In the present study, we carry out numerical simulations of energy harvesting eel by using the immersed boundary method. Eel is modeled by a flexible filament and is placed behind a circular cylinder. We perform systematic simulations in order to explore the effects of Reynolds number. The instantaneous eel motion is analyzed under different conditions and surrounding vortical structures are identified. The flapping frequency of eel has been compared with that in case of plate alone as well as filament alone. As increasing Reynolds number, we can see that the flexible filament flaps passively by obtaining the Strouhal number of cylinder alone and filament with cylinder.

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A Study on the Effect of Micro Defect on Stress Intensity Factor of Through-Crack by Boundary Element Method (경계요소법을 이용한 관통균열의 응력확대계수에 미치는 미소결함의 영향에 관한 연구)

  • Seong, Gi-Deuk;Yang, Won-Ho;Jo, Myeong-Rae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.3 s.174
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    • pp.560-566
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    • 2000
  • Many researchers have dealt with the problems of fracture mechanics. Generally, these researches are concerned with crack in isotropic material without other micro defects. Actual structure, however, may contain micro defects as well as crack in manufacture processing or operation. If it contains mi defects near a crack, some different characteristics will be appear in fracture behaviors of the crack. This study examines the effect of the micro defect on stress intensity factor of center slant crack rectangular plate subjected to uniform uniaxial tensile stress. In this study, boundary element method(BEM) is used for analysis in stress intensity factor(SIF).

Study on Simulation Method for Combustion Flow Field with the Moving Boundary of Solid Propellants (이동 경계면을 가진 고체 추진제 연소 유동장의 해석 기법 연구)

  • Sung, Hyung-Gun;Park, Sol;Hong, Gi-Cheol;Roh, Tae-Seong;Choi, Dong-Whan
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2007.11a
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    • pp.229-232
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    • 2007
  • A numerical method for the moving boundary required in analysis of the combustion phenomenon of the solid propellant has been studied. The ghost cell extrapolation has been used in the Eulerian coordinate system. The Lagrangian method has been used in Non-Eulerian coordinate system. Results of the numerical analysis were verified by comparing to theoretical results of 1-D free-moving piston in the pipe.

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Simulation of turbulent flow of turbine passage with uniform rotating velocity of guide vane

  • Wang, Wen-Quan;Yan, Yan
    • Coupled systems mechanics
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    • v.7 no.4
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    • pp.421-440
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    • 2018
  • In this study, a computational method for wall shear stress combined with an implicit direct-forcing immersed boundary method is presented. Near the immersed boundaries, the sub-grid stress is determined by a wall model in which the wall shear stress is directly calculated from the Lagrangian force on the immersed boundary. A coupling mathematical model of the transition process for a model Francis turbine comprising turbulent flow and rotating rigid guide vanes is established. The spatiotemporal distributions of pressure, velocity, vorticity and turbulent quantity are gained with the transient process; the drag and lift coefficients as well as other forces (moments) are also obtained as functions of the attack angle. At the same time, analysis is conducted of the characteristics of pressure pulsation, velocity stripes and vortex structure at some key parts of flowing passage. The coupling relations among the turbulent flow, the dynamical force (moment) response of blade and the rotating of guide vane are also obtained.

Radial basis collocation method for dynamic analysis of axially moving beams

  • Wang, Lihua;Chen, Jiun-Shyan;Hu, Hsin-Yun
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.333-352
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    • 2009
  • We introduce a radial basis collocation method to solve axially moving beam problems which involve $2^{nd}$ order differentiation in time and $4^{th}$ order differentiation in space. The discrete equation is constructed based on the strong form of the governing equation. The employment of multiquadrics radial basis function allows approximation of higher order derivatives in the strong form. Unlike the other approximation functions used in the meshfree methods, such as the moving least-squares approximation, $4^{th}$ order derivative of multiquadrics radial basis function is straightforward. We also show that the standard weighted boundary collocation approach for imposition of boundary conditions in static problems yields significant errors in the transient problems. This inaccuracy in dynamic problems can be corrected by a statically condensed semi-discrete equation resulting from an exact imposition of boundary conditions. The effectiveness of this approach is examined in the numerical examples.

Vibration Characteristics of Ring-Stiffened Composite Cylindrical Shells with Various Edge Boundary Conditions (다양한 경계조건을 갖는 링보강 복합재료 원통셸의 진동특성)

  • 김영완;이영신
    • Journal of KSNVE
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    • v.9 no.3
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    • pp.485-492
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    • 1999
  • The effects of boundary conditions on vibration characteristics for the ring stiffered composite cylindrical shells are investigated by theoretical and experimental method. In the theoretical procedure, the Love's thin shell theory combined with the discrete stiffener theory to consider the ring stiffening effect are adopted to derive the frequency equation. In experiment, the impact exciting method is used to obtain the vibraton results. Five different boundary conditions: clamped-clamped, simply supported-simply supported, free-free, clamped-free, clamped-simply supported are considered in this study.

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Stability Analysis of Stiffened Thin Plates Using Energy Method (에너지법을 이용한 보강된 박판의 안정성해석)

  • KIM, Moon Young;MIN, Byoung Cheol
    • Journal of Korean Society of Steel Construction
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    • v.8 no.3 s.28
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    • pp.55-65
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    • 1996
  • For stability analysis of stifened rectangular thin plates with various boundary conditions, Ritz method is presented. An energy method is especially useful in those cases where a rigorous solution of the diferential eqution is unknown or where we have a plate reinforced by stiffeners and it is required to find only an approximate value of the critical load. The strain energy due to the plate bending and the work done by the in-plane forces are taken into account in order to apply the principle of the minimum potential energy. The buckling mode shapes of flexural beams with various boundary conditions are derived, and shape functions consistent with the given boundary conditions in the two orthogonal directions are chosen from those displacement functions of beams. The matrix equations for stability of stiffened rectangular thin plates are determined from the stationary condition of the total potential energy. Numerical example for stability behaviors of horizontally and vertically stiffened plates subjected to uniform compression, bending and shear loadings are presented and the obtained results are compared with other researchers' results.

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Determination of Stress Intensity Factors for Bimaterial Interface Rigid Line Inclusions by Boundary Element Method (경계요소법을 이용한 접합재료 경계면의 직선균열형상의 강체 함유물에 대한 응력세기계수 결정)

  • Lee, Kang-Yong;Kwak, Sung-Gyu
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.176-181
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    • 2000
  • Stress intensity factors for a rigid line inclusion tying along a bimaterial interface are calculated by the boundary element method with the multiregion and double-Point techniques. The formula between the stress intensity factors and the inclusion surface stresses are derived. The numerical values of the stress intensity factors for the bimaterial interface rigid line inclusion in the infinite body are proved to be in good agreement within 3% when compared with the previous exact solutions. In the finite bimaterial systems, the stress intensity factors for the center and edge rigid line inclusions at interface are computed with the variation of the rigid line inclusion length and the shear modulus ratio under the biaxial and uniaxial loading conditions.

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