• 제목/요약/키워드: displacement extrapolation method

검색결과 23건 처리시간 0.033초

일래스토메릭 부싱의 축방항모드에 대한 리아니스 모델연구 (A Study of Lianis Model for Elastomeric Bushing in Axial Mode)

  • 이성범
    • Elastomers and Composites
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    • 제37권3호
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    • pp.151-158
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    • 2002
  • 본 연구에서 고려된 elastomeric bushing은 자동차 현가장치에 사용되는 기계요소로서, 바깥쪽의 실린더형 슬리브와 안쪽의 실린더형 축 사이에서 가운데가 완전히 비어있는 실린더의 형태를 가진다. 본 연구에서는 일래스토메릭 부싱에 적용되는 힘과 변형의 관계가 비선형이고 점탄성의 특성을 보이므로, Lianis에 의해 발전되어진 비선형 점탄성 비압축 재료에 대한 구조방정식을 사용하여, 부싱의 축방향 응답에 대한 힘과 변위의 관계를 얻었다. 또한 변위에 의존하는 force relaxation function은 extrapolation method에 의한 ramp displacement control test로부터 완성되고, 이는 step displacement control test로부터 얻게된 결과와 비교하며, 두 결과가 매우 잘 일치됨을 확인하였다.

자동차 부싱에 대한 Pipkin-Rogers 모델의 실험적 연구 (An Experimental Study of Pipkin-Rogers Model for Automotive Bushing)

  • 김성진;이수용;이성범
    • 한국정밀공학회지
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    • 제22권11호
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    • pp.118-124
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    • 2005
  • An automotive bushing is a device used in automotive suspension systems to reduce the load transmitted from the wheel to the frame of the vehicle. A bushing is a hollow cylinder, which is bonded to a solid steel shaft at its inner surface and a steel sleeve at its outer surface. The relation between the force applied to the shaft and the relative deformation of a bushing is nonlinear and exhibits features of viscoelasticity. In this paper, an automotive bushing is regarded as nonlinear viscoelastic incompressible material. Instron 8801 equipment was used for experimental res earch and ramp-to-constant displacement control test was used for data acquisition. Displacement dependent force relaxation function was obtained from the force extrapolation method and expressed as the explicit combination of time and displacement. Pipkin-Rogers model, which is the direct relation of force and displacement, was obtained and comparison studies between the experimental results and the Pipkin-Rogers results were carried out.

p-Version 적층모델을 통한 팻취 보강된 강판의 선형탄성파괴역학 해석 (LEFM Analysis of Patch Repaired Steel Plates by p-Version Layer Model)

  • 한상현;신영식;우광성
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.487-492
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    • 2007
  • The enhancement of the service life of damaged or cracked structures is a major issue for researchers and engineers. The hierarchical void element with the integrals of Legend polynomials is used to characterize the fracture behavior of unpatched crack as well as repaired crack with bonded composite patches by computing the stress intensity factors and stress contours at the crack tip. The numerical approach is based on the v-version degenerate shell element including the theory of anisotropic laminated composites. Since the equivalent single layer approach is adopted in this study, the proposed element is necessary to represent a discontinuous crack part as a continuum body with zero stiffness of materials. Thus the aspect ratio of this element to represent the crack should be extremely slender. The sensitivity of numerical solution with respect to energy release rate, displacement and stress has been tested to show the robustness of hierarchical void element as the aspect ratio is increased up to 2000. The stiffness derivative method and displacement extrapolation method have been applied to calculate the stress intensity factors of Mode I problem.

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혼합모우드를 받는 균열판의 응력확대계수 산정을 위한 p-Version 유한요소 모델 (p-Version Finite Element Model for Computation of the Stress Intensity Factors of Cracked Panels under Mixed Mode)

  • 윤영필;이채규;우광성
    • 전산구조공학
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    • 제9권2호
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    • pp.133-142
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    • 1996
  • 본 논문에서는 혼합모우드형의 공학적 파괴역학을 위한 두가지 방법의 p-version유한요소모델을 사용한 응력확대계수 산정을 목적으로 연구되었다. 두 가지 방법은 COD와 CSD방법에 의한 변위외삽법과 분해법에 기초한 J-적분법이다. 즉, p-version 유한요소해석을 통해 얻어지는 변위장을 균열선에 대해 대칭 및 역대칭 변위로 분리함으로써, 앞에서 언급된 두가지 방법에 의해 모우드-I과 모우드-II 응력확대계수를 결정할 수 있다. 제안된 방법들의 검증을 위한 예제는 인장력을 받는 중앙균열판과 중앙 경사균열판 문제이다. 균열판의 경사각의 변화와 균열길이와 평판 폭의 비에 따른 수치해석결과는 기존 문헌에 있는 이론값과 경험식에 의한 결과와 비교되어 높은 정도를 보여주고 있다 .

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Prediction of nominal wake of a semi-displacement high-speed vessel at full scale

  • Can, Ugur;Bal, Sakir
    • Ocean Systems Engineering
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    • 제12권2호
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    • pp.143-157
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    • 2022
  • In this study, the nominal wake field of a semi-displacement type high-speed vessel was computed at full scale by using CFD (Computational Fluid Dynamics) and GEOSIM-based approaches. A scale effect investigation on nominal wake field of benchmark Athena vessel was performed with two models which have different model lengths. The members of the model family have the same Fr number but different Re numbers. The spatial components of nominal wake field have been analyzed by considering the axial, radial and tangential velocities for models at different scales. A linear feature has been found for radial and tangential components while a nonlinear change has been obtained for axial velocity. Taylor wake fraction formulation was also computed by using the axial wake velocities and an extrapolation technique was carried out to get the nonlinear fit of nominal wake fraction. This provides not only to observe the change of nominal wake fraction versus scale ratios but also to estimate accurately the wake fraction at full-scale. Extrapolated full-scale nominal wake fractions by GEOSIM-based approach were compared with the full-scale CFD result, and a very good agreement was achieved. It can be noted that the GEOSIM-based extrapolation method can be applied for estimation of the nominal wake fraction of semi-displacement type high-speed vessels.

외삽법을 이용한 풍화암에 근입된 현장타설말뚝의 극한하중 예측 (Prediction of Ultimate Load of Drilled Shafts Embedded in Weathered Rock by Extrapolation Method)

  • 정성준;이상인;전종우;김명모
    • 대한토목학회논문집
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    • 제29권4C호
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    • pp.145-151
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    • 2009
  • 일반적으로 풍화암에 근입된 현장타설말뚝은 지지력이 매우 크므로 많은 경우에 설계하중만을 검증한 다음 극한하중을 확인하기 전에 재하시험을 종료한다. 그러나 만일 미완성 하중-침하 곡선으로부터 신뢰할 수 있는 극한하중의 예측이 가능하다면 설계의 질적인 향상뿐만 아니라 경제적인 면에서도 크게 기여를 할 수 있을 것이라고 생각된다. 본 연구의 목적은 극한하중을 얻지 못한 말뚝 재하시험의 하중-침하 곡선으로부터 외삽법을 이용하여 추정한 극한하중의 신뢰성 판단 방법을 제안 하는데 있다. 이를 위해 극한하중이 구해진 10본의 말뚝을 3개 현장에 걸쳐서 수집하였다. 그리고 이 10개의 하중-침하 곡선으로부터 Davisson 방법을 이용하여 구한 실제 계측 극한하중의 25%, 50%, 60%, 70%, 80%, 그리고 90%에 해당하는 하중-침하 곡선 자료만이 확보되었다고 가상하고 각각의 자료에 대하여 쌍곡선 방법으로 외삽한 다음, 극한하중을 새로이 결정하였다. 이렇게 결정된 외삽 극한하중의 신뢰성을 통계분석을 통하여 평가하였다. 그 결과, 확보하였다고 가상한 하중-침하 곡선의 최대 침하량 대 외삽 극한하중에서의 침하량 비가 0.6 이상인 경우, 외삽으로 예측한 극한하중은 실제 계측 극한하중보다 평균적으로 20% 이내에서 보수적인 값을 나타내었다. 또한, 항타말뚝의 정재하시험 자료에 대하여 본 논문에서 제안한 방법으로 분석하여 동일한 결과를 확인하였다.

Nonlinear spectral collocation analysis of imperfect functionally graded plates under end-shortening

  • Ghannadpour, S. Amir M.;Kiani, Payam
    • Structural Engineering and Mechanics
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    • 제66권5호
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    • pp.557-568
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    • 2018
  • An investigation is made in the present work on the post-buckling and geometrically nonlinear behaviors of moderately thick perfect and imperfect rectangular plates made-up of functionally graded materials. Spectral collocation approach based on Legendre basis functions is developed to analyze the functionally graded plates while they are subjected to end-shortening strain. The material properties in this study are varied through the thickness according to the simple power law distribution. The fundamental equations for moderately thick rectangular plates are derived using first order shear deformation plate theory and taking into account both geometric nonlinearity and initial geometric imperfections. In the current study, the domain of interest is discretized with Legendre-Gauss-Lobatto nodes. The equilibrium equations will be obtained by discretizing the Von-Karman's equilibrium equations and also boundary conditions with finite Legendre basis functions that are substituted into the displacement fields. Due to effect of geometric nonlinearity, the final set of equilibrium equations is nonlinear and therefore the quadratic extrapolation technique is used to solve them. Since the number of equations in this approach will always be more than the number of unknown coefficients, the least squares technique will be used. Finally, the effects of boundary conditions, initial geometric imperfection and material properties are investigated and discussed to demonstrate the validity and capability of proposed method.

짧은 보 압축 시험법을 이용한 암석의 모드 II 파괴 인성 측정 (Mode II fracture toughness determination of rocks using short beam compression test)

  • 고태영
    • 한국터널지하공간학회 논문집
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    • 제15권6호
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    • pp.547-557
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    • 2013
  • 전단응력에 의한 전단강도 및 모드 II 파괴인성은 이산화탄소 지중저장에서의 덮개암 및 주입층의 안정성 평가에 활용되는 중요한 인자들이다. 본 연구에서는 짧은 보 압축시험을 이용하여 코코니노 사암의 전단강도 및 모드 II 파괴인성을 측정하였다. 측정된 평균 전단강도는 23.53 MPa이며, 모드 II 파괴인성은 1.58 MPa${\surd}$m이다. 응력확대계수(stress intensity factor)는 변위외삽법(displacement extrapolation method)을 이용한 유한요소법으로 결정하였다. 또한 이축응력(biaxial stress)과 수분포화(water saturation)가 모드 II 파괴인성에 미치는 영향을 분석하였다. 그 결과 이축응력이 증가할수록 파괴인성도 증가하였고, 완전포화된 시험편의 파괴인성은 건조상태의 파괴인성보다 대략 11.4% 감소하였다.

사각단면 액체저장탱크에서의 슬로싱 거동 연구 (Study on Sloshing Behaviors in Liquid Storage Tank with Rectangular Cross Section)

  • 윤성호;이은동;박기진
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1087-1090
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    • 2003
  • In this study, experimental procedures were suggested to investigate the sloshing behavior of a liquid storage tank subjected to inevitably external vibrating conditions. For this purpose. liquid storage tank with rectangular cross section was made of an acrylic resin for the visualization of liquid fluctuation. A specially designed vibrator was used to provide a specified vibrating condition to the liquid storage tank. Extrapolation technique was applied to determine sloshing natural frequency by using various sloshing frequencies at each vibrating displacement and liquid contents at a fixed vibrating frequency. Sloshing mode was also determined from continuous images or liquid fluctuation captured from a video camera. In addition, change in the height of the liquid free surface was measured by using a floating target and a laser displacement sensor. It is found that the suggested method can be applicable to identify the sloshing behavior of liquid storage tank with rectangular cross section.

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경계요소법을 이용한 균열선단 원공의 영향 평가 (The Effect evaluation of the hole near a crack tip by Boundary Element Method)

  • 이대영;김성재
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 추계학술대회논문집 - 한국공작기계학회
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    • pp.434-439
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    • 2000
  • In this paper, in order to study the geometric factor effect of a circular hole near a crack tip in a semi-infinite plate, the Dimensionless Stress Intensity Factor, $F(=\frac K {\sigma {\sqrt{\pi a}}})$ is analyzed at the crack tip using a two Dimensional Boundary Element Method (BEM) program which is known as superior in Fracture Mechanics. Kelvin's solution was used as a fundamental solution in BEM analysis and displacement extrapolation method was used to determine Stress Intensity Factor.

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