• 제목/요약/키워드: Shear-Free Boundary Condition

검색결과 58건 처리시간 0.031초

후향단유동내 경계층의 재발달에 미치는 경계조건의 영향 (Effects of Boundary Conditions on Redevelopment of the Boundary Layer in a Backward-Facing Step Flow)

  • 김동일;이문주;전중환
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집E
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    • pp.506-511
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    • 2001
  • This paper presents how redevelopment of the boundary layer in a backward-facing step flow is affected by boundary conditions imposed on velocity at the inlet, top and exit of the flow. A two-dimensional, laminar, incompressible flow over a backward-facing step with an open top boundary has been computed by using numerical methods of second-order time and spatial accuracy and a fractional-step method that guarantees a divergence-free velocity field at all time. The inlet velocity profile above the step is of Blasius type. Along the top boundary, shear-tree and Dirichlet conditions on the streamwise velocity were considered and at the exit fully-developed and convective boundary conditions were examined. (The vertical velocity at all boundaries were assumed to be zero explicitly or implicitly.) From the computed flow fields, the reattachment on the bottom side of shear layer separated from the tip of the step and succeeding redevelopment of the boundary layer were investigated.

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자유단에 집중질량을 갖는 캔틸레버형 변단면 보의 자유진동 (Free Vibrations of Tapered Cantilever-Type Beams with Tip Mass at the Free End)

  • Oh, Sang-Jin;Lee, Jae-Young;Park, Kwang-Kyou;Mo, Jeong-Man
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문초록집
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    • pp.394.1-394
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    • 2002
  • The purpose of this paper is to investigate the natural frequencies and mode shapes of tapered beams with general boundary condition(translational and rotational elastic support) at one end and carrying a tip mass of rotatory inertia at the other end. The beam model is based on the classical Bernoulli-Euler beam theory which neglects the effects of rotatory inertia and shear deformation. (omitted)

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Three dimensional seismic deformation-shear strain-swelling performance of America-California Oroville Earth-Fill Dam

  • Karalar, Memduh;Cavusli, Murat
    • Geomechanics and Engineering
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    • 제24권5호
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    • pp.443-456
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    • 2021
  • Structural design of the vertical displacements and shear strains in the earth fill (EF) dams has great importance in the structural engineering problems. Moreover, far fault earthquakes have significant seismic effects on seismic damage performance of EF dams like the near fault earthquakes. For this reason, three dimensional (3D) earthquake damage performance of Oroville dam is assessed considering different far-fault ground motions in this study. Oroville Dam was built in United States of America-California and its height is 234.7 m (770 ft.). 3D model of Oroville dam is modelled using FLAC3D software based on finite difference approach. In order to represent interaction condition between discrete surfaces, special interface elements are used between dam body and foundation. Non-reflecting seismic boundary conditions (free field and quiet) are defined to the main surfaces of the dam for the nonlinear seismic analyses. 6 different far-fault ground motions are taken into account for the full reservoir condition of Oroville dam. According to nonlinear seismic analysis results, the effects of far-fault ground motions on the nonlinear seismic settlement and shear strain behaviour of Oroville EF dam are determined and evaluated in detail. It is clearly seen that far-fault earthquakes have very significant seismic effects on the settlement-shear strain behaviour of EF dams and these earthquakes create vital important seismic damages on the swelling behaviour of dam body surface. Moreover, it is proposed that far-fault ground motions should not be ignored while modelling EF dams.

자유단에 집중질량을 갖는 캔틸레버형 변단면 보의 자유진동 (Free Vibrations of Tapered Cantilever-Type Beams with Tip Mass at the Free End)

  • 오상진;이재영;박광규;모정만
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.965-970
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    • 2002
  • The purpose of this paper is to investigate the free vibration characteristics of tapered beams with general boundary condition(translational and rotational elastic support) at one end and carrying a tip mass with translational elastic support at the other end. The beam model is based on the classical Bernoulli-Euler beam theory which neglects the effects of rotatory inertia and shear deformation. The governing differential equation for the free vibrations of linearly tapered beams is solved numerically using the corresponding boundary conditions. Numerical results are compared with existing solutions by other methods for cases in which they are available. The lowest four natural frequencies are calculated over a wide range of section ratio, dimensionless spring constant and mass ratio.

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연성토조의 경계조건 변화에 따른 가속도 증폭 분석 (Acceleration Amplification Analysis according to Changes in Laminar Shear Box Boundary Conditions)

  • 정수근;김용;박경호;김대현
    • 지질공학
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    • 제32권1호
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    • pp.143-155
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    • 2022
  • 본 연구에서는 지진 모사실험을 진행하는 1 g 진동대 실험에 올라가는 연성토조(Laminar Shear Box, LSB)라고 하는 토조의 경계조건(Boundary effect)을 달리하여 다른 조건에 따른 응답가속도 증폭에 대한 분석하였다. LSB의 양 옆을 고정하여 경계조건을 달리하여 실험을 진행하였고, 가속도계를 각 동일한 위치에 설치하여 2가지 시료에 대하여 실험을 진행하였다. 또한, DEEPSOIL v7 프로그램을 이용하여 1차원 지반응답해석을 통하여 자유장 조건에서와 비교 분석하였다. 그 결과 가속도가 하층부에서 상층부로 올라갈수록 증폭하는 모습을 확인할 수 있었고, 지반응답해석과 비교한 결과, 자유장 조건에서 해석과 비슷하게 나오는 것을 확인할 수 있었다. SA분석결과, 지반응답해석과 유사한 결과를 얻을 수 있었으며, 고정한 경우는 PSA가 더욱 증폭하는 결과를 확인할 수 있었다.

An equivalent single-layer theory for free vibration analysis of steel-concrete composite beams

  • Sun, Kai Q.;Zhang, Nan;Liu, Xiao;Tao, Yan X.
    • Steel and Composite Structures
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    • 제38권3호
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    • pp.281-291
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    • 2021
  • An equivalent single-layer theory (EST) is put forward for analyzing free vibrations of steel-concrete composite beams (SCCB) based on a higher-order beam theory. In the EST, the effect of partial interaction between sub-beams and the transverse shear deformation are taken into account. After using the interlaminar shear force continuity condition and the shear stress free conditions at the top and bottom surface, the displacement function of the EST does not contain the first derivatives of transverse displacement. Therefore, the C0 interpolation functions are just demanded during its finite element implementation. Finally, the EST is validated by comparing the results of two simply-supported steel-concrete composite beams which are tested in laboratory and calculated by ANSYS software. Then, the influencing factors for free vibrations of SCCB are analyzed, such as, different boundary conditions, depth to span ratio, high-order shear terms, and interfacial shear connector stiffness.

Theoretical formulations of current and unique Rayleigh waves with impedance boundary condition embedding normal stress

  • Nguyen, Xuan Quynh;Lee, Dongkyu
    • Smart Structures and Systems
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    • 제29권2호
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    • pp.279-286
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    • 2022
  • In this article, a novel propagation formulation of Rayleigh waves in a compressible isotropic half-space with impedance boundary condition is proposed by embedding the normal stress. In a two-dimensional case, it is assumed that a design boundary is free of normal traction and a shear traction depends on linearly a normal component of displacements multiplied by frequencies. Therefore, impedance boundary conditions affect the normal stress, where the impedance parameters correspond to dimensions of stresses over velocity. On the other hand, vanished impedance values are traction-free boundary conditions. The main purpose of this article is to present theoretically the existence and uniqueness of a Rayleigh wave formulation relying on secular equation's mathematical analyses. Its velocity varies along with the impedance parameters. Moreover, numerical experiments with different values for the velocity of Rayleigh waves are carried out. The present Rayleigh waves study is a fundamental step in analyzing the cause and effect of physical states such as building or structure damages resulting from natural dynamics. The results of the study generate a basic design formulation theory to test the effects of Rayleigh waves affecting structures when an earthquake occurs. The presence and uniqueness of the proposed formulation is verified by mutual comparisons of several numerical examples.

천이영역의 희박기체 압축성 경계층 해석 (Analysis of rarefied compressible boundary layers in transition regime)

  • 최서원
    • 대한기계학회논문집B
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    • 제21권4호
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    • pp.509-517
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    • 1997
  • Results of flat plate compressible boundary layer calculation, based on discrete formulation of DSMC method, are presented in low Mach number and low Knudsen number range. The free stream is a uniform flow of pure nitrogen at various Mach numbers in low pressures (i.e. rarefied gas). Complete thermal accommodation and diffuse molecular reflections are used as the wall boundary condition, replacing unreal no-slip condition used in continuum calculations. In the discrete formulation of DSMC method, there is no need to use ad hoc assumptions on transport properties like viscosity and thermal conductivity, instead viscosity is calculated from values of other field variables (velocity and shear stress). Also the results are compared with existing self-similar continuum solutions. In all Mach number cases computed, velocity slip is most pronounced in regions near the leading edge where continuum formulation renders the solution singular. As the boundary layer develops further downstream, velocity slips asymptote to values that are between 10 to 20% of the magnitude of free stream velocity. When the free stream number density is reduced, so the gas more rarefied, the velocity slip increases as expected.

일단은 일반적인 지지조건을 갖고 타단은 집중질량을 갖는 변단면 보의 자유진동 (Free Vibrations of Tapered Beams with General Boundary Condition at One End and Mass at the Other End)

  • 오상진;이병구;이태은
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.493-500
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    • 2001
  • The purpose of this paper is to investigate the natural frequencies and mode shapes of tapered beams with general boundary condition(translational and rotational elastic support) at one end and carrying a tip mass with translational elastic support at the other end. The beam model is based on the classical Bernoulli-Euler beam theory which neglects the effects of rotatory inertia and shear deformation. The governing differential equation for the free vibrations of linearly tapered beams is solved numerically using the corresponding boundary conditions. Numerical results are compared with existing solutions by other methods for cases in which they are available. The lowest three natural frequencies and the corresponding mode shapes are calculated over a wide range of section ratio, dimensionless spring constant, and mass ratio.

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균일단면 선박의 유탄성 수직응답에 대한 해석해 (Exact Solution on the Vertical Hydro-elastic Responses of Ships having Uniform Sectional Properties)

  • 박인규;정종진
    • 대한조선학회논문집
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    • 제41권2호
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    • pp.47-54
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    • 2004
  • Exact solution on the vertical responses of ships having uniform sectional properties in waves is derived. Boundary value problem consisted of Timoshenko beam equation and free-free end condition is solved analytically. The responses are assumed as linear and wave loads are calculated by using strip method. Vertical bending moment, shear force and deflection are calculated. The developed analysis model is used for the benchmark test of the numerical codes in this problem. Also the application on the preliminary design of barge-like ships and VLFS (Very Large Floating Structure) is expected.