• 제목/요약/키워드: asymptotic value

검색결과 204건 처리시간 0.024초

인장력을 받는 균열판의 응력확대계수 산정을 위한 p-version균열모델 (P-version Crack Model for Computation of Stress Intensity Factor of Cracked Panels Subjected to Membrane Forces)

  • 윤영필;우광성;박병기;신영식
    • 전산구조공학
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    • 제6권4호
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    • pp.57-66
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    • 1993
  • 적분형 르장드르 다항식과 가상균열확장법을 사용한 p-version균열모델이 선형 탄성파괴력학에서 응력확대계수를 산정할 수 있도록 제안되었다. 이 모델의 큰 장점은 소수의 요소를 사용하기 때문에 입력재료를 최소화 할 수 있고 균열선단 부근에서 높은 정확도와 빠른 수검율을 얻을 수 있다는 것이다. 이 연구를 통해 얻어진 두 가지 결론은 다음과 같다. 첫째, 변형에너지의 정해인 극한치가 수검구간에 있는 연속된 3개의 p-version 유한요소 결과로 부터 확정 할 수 있다는 것이다. 둘째, 인장력을 받는 균열판 해석에서 p-version의 수검율은 균등 또는 유사균등 요소분할에 근거를 둔 h-version모델에 비해 거의 2배 가량 빠름을 알 수 있다.

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상이한 직교이방성 띠판에 대한 면외변형 하의 반무한 등속 평행균열에서의 응력확대계수 (Stress intensity factor of semi-infinite parallel crack propagated with constant velocity in dissimilar orthotropic strip under out-of-plane deformation)

  • 박재완;권용수;정재택;최성렬
    • 대한기계학회논문집A
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    • 제21권3호
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    • pp.447-456
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    • 1997
  • Stress intensity factor of semi-infinite parallel crack propagation with constant velocity in dissimilar orthotropic strip under out-of-plane clamped desplacement is investigated. Using Fourier integral transforms the boundary value problem is derived by a pair of dual integral equation and finally reduced to a single Wiener-Hopf equation. By applying Wiener-Hopf technique the equation is solved. Applying this result the asymptotic stress fields near the crack tip are determined, from which the stress intensity factor is obtained in closed form. The more the ratio of anisotropy or the ratio of bi-material shear modulus increase in the main material including the crack, the more the stress intensity factor increases. Discontinuity in the stress intensity factor is found as the parallel crack approaches the interface. In special case, the results of isotropic materials agree well with those by the previous researchers.

임의의 종횡비를 가지는 수직축을 중심으로 회전하는 직관과 정지한 고고간 내부의 층류 유동의 유사성에 관한 수치적 연구 (A Numerical Study on the Similarity of Laminar Flows in Orthogonally Rotating Rectangular Ducts and Stationary Curved Rectangular Ducts of Arbitrary Aspect Ratio)

  • 이공희;백제현
    • 대한기계학회논문집B
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    • 제26권6호
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    • pp.842-849
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    • 2002
  • The present study showed that a quantitative analogy of the fully developed laminar flows inorthogonally rotating rectangular ducts and stationary curved rectangular ducts of arbitrary aspect ratio could be established. In order to clarify the similarity of the two flows, the dimensionless parameters $K_{LR}$ =Re/√Ro and Rossby number Ro= $w_{m}$/$\Omega$d in a rotating strait duct were used as a set corresponding to Dean number $K_{LC}$ =Re/√λand curvature ratio λ=R/d in a stationary curved duct. Under the condition that the value of Rossby number and curvature ratio was large enough, the flow field satisfied the ‘asymptotic invariance property’: there were strong quantitative similarities between the two flows such as friction factors, flow patterns, and maximum axial velocity magnitudes for the same values of $K_{LR}$ and $K_{LC}$ .

분위수의 점근적 분산을 이용한 신뢰성 설계 (Reliability Design using Asymptotic Variance of Inverse Cumulative Distribution Function)

  • 조형진;백석흠;홍순혁;조석수;주원식
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1682-1685
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    • 2005
  • System algorithms estimated by deterministic input may occur the error between predicted and actual output. Especially, actual system can't predict the exact outputs due to uncertainty and tolerance of input parameters. A single output to a set of inputs has a limited value without the variation. Hence, we should consider various scatters caused by the load assessment, material characteristics, stress analysis and manufacturing methods in order to perform the robust design or estimate the reliability of structure. The system design with uncertainty should perform the probabilistic structural optimization with the statistical response and the reliability. This method calculated the probability distributions of the characteristics such as stress by combining stress analysis, response surface methodology and Monte-Carlo Method and got the probabilistic sensitivity. The sensitivity of structural response with respect to inconstant design variables was estimated by fracture probability. Therefore, this paper proposed the probabilistic reliability design method for fracture of uncorved freight end beam and the design criteria by fracture probability.

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골판지의 정적완충특성과 골판지상자의 크리이프 거동 (Static Cushioning Properties of Corrugated Fiberboard and Creep Behavior of Boxes)

  • 박종민;김만수;정성원
    • Journal of Biosystems Engineering
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    • 제20권4호
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    • pp.323-332
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    • 1995
  • The horizontal compression test of some selected corrugated fiberboards was performed to determine the cushioning properties of them. Creep behavior of the corrugated fiberboard boxes, which have been widely used in rural area for packaging fruits and vegetables, was tested. The flute crushing stress of the corrugated fiberboard depended upon mainly the basic weight of the corrugated medium, comparing with the combined basic weight of corrugated fiberboard. When moisture content of the corrugated fiberboards was increased about 8% (d.b.), the flute crushing stress of them was decreased at the rate of 44%~64%. The cushion factor of the sample fiberboards showed much higher value at the lower moisture content of them. These trends appeared to be more obvious at the lower applied stress levels. Also, the cushion factors of the double wall corrugated fiberboards(DW) were observed to be little higher than those of the single wall corrugated fiberboards(SW). The creep behavior of the sample boxes was found to be highly moisture and static load dependent. The creep behavior of the corrugated fiberboard boxes could be well analyzed by the asymptotic slope derived from the creep model.

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비동질 탄성 무한공간에 대한 비례경계유한요소법의 동적강도행렬 (Dynamic Stiffness of the Scaled Boundary Finite Element Method for Non-Homogeneous Elastic Space)

  • 이계희
    • 한국전산구조공학회논문집
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    • 제23권2호
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    • pp.165-173
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    • 2010
  • 본 논문에서는 비동질 탄성무한공간에 대한 비례경계유한요소법의 동적강도행렬을 해석적으로 유도하였다. 해석영역의 비동질성은 비동질파라메터를 지수로 하는 멱함수로 고려하였다. 동적강도행렬은 진동수영역에서 다항식으로 점근전개한 후, 방사조건을 만족시키도록 하여 각 다항식의 계수를 구하는 과정을 통하여 유도되었다. 얻어진 동적강도행렬의 타당성을 검증하기 위해 정확해가 알려져 있는 대표적인 문제에 대하여 비동질파라메터의 값을 변화시키면서 수치해석을 수행하였다. 그 결과 유도된 동적강도행렬이 비동질공간에 대한 특성을 적절하게 반영하는 것으로 나타났다.

여자기 제어 효과를 고려한 에너지함수 유도 및 적용가능성에 관한 기초 연구 (Derivation of the Energy Function Reflecting Exciter Control Effects)

  • 김구한;최병곤;박정도;문영현
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 추계학술대회 논문집 학회본부 A
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    • pp.125-128
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    • 2000
  • This paper presents an energy function which provides the direct relationships between the system stability and parameters of the exciter system. The energy function is derived from the energy conservation law by using the first motion integral. he time derivative does not absolutely satisfy the seminegativeness. However dE/dt usually has big negative value just after the fault clearing so that the energy is rapidly decreased. In this situation, the system state can be obviously confined in a stable region if the intial energy is less than the UEP energy. With these observation, two theorems are developed regarding the state confinement and asymptotic stability. Based on two theorems a new approximated direct energy method is developed to analyze the transient stability with the consideration of the exciter control effects. The proposed method has been tested for a single-machine-infinite bus system.

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Non linear analysis of a functionally graded square plate with two smart layers as sensor and actuator under normal pressure

  • Arefi, M.;Rahimi, G.H.
    • Smart Structures and Systems
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    • 제8권5호
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    • pp.433-447
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    • 2011
  • The present paper addresses the nonlinear response of a FG square plate with two smart layers as a sensor and actuator under pressure. Geometric nonlinearity was considered in the strain-displacement relation based on the Von-Karman assumption. All the mechanical and electrical properties except Poisson's ratio can vary continuously along the thickness of the plate based on a power function. Electric potential was assumed as a quadratic function along the thickness direction and trigonometric function along the planar coordinate. By evaluating the mechanical and electrical energy, the total energy equation can be minimized with respect to amplitude of displacements and electrical potential. The effect of non homogenous index was investigated on the responses of the system. Obtained results indicate that with increasing the non homogenous index, the displacements and electric potential tend to an asymptotic value. Displacements and electric potential can be presented in terms of planar coordinate system. A linear analysis was employed and then the achieved results are compared with those results that are obtained using the nonlinear analysis. The effect of the geometric nonlinearity is investigated by using the comparison between the linear and nonlinear results. Displacement-load and potential-load curves verified the necessity of a nonlinear analysis rather than a linear analysis. Improvement of the previous results (by the linear analysis) through employing a nonlinear analysis can be presented as novelty of this study.

수직축을 중심으로 회전하는 직관과 정지한 곡관내에서의 층류 유동의 유사성 비교 (Study on the Similarity of Laminar Flows between in Orthogonally Rotating Square Duct and Stationary Curved Squared Duct)

  • 이공희;백제현
    • 대한기계학회논문집B
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    • 제24권12호
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    • pp.1683-1691
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    • 2000
  • In this study, it is numerically revealed that the secondary flow due to the Coriolls force in a straight duct rotating about an axis perpendicular to that of the duct is analogous to that caused by the centrifugal force in a stationary curved duct. Dimensionless parameters $K_{LR}=Re/\sqrt{Ro}$ and Rossby number in a rotating straight duct were used as a set corresponding to Dean number and curvature ratio in a stationary curved duct. When the value of Rossby number and curvature ratio is large, it is shown that the flow field satisfies the `asymptotic invariance property`, that is, there are strong quantitative similarities between the two flows such as friction factors, flow patterns, and maximum axial velocity magnitudes for the same values of $K_{LR}$ and Dean number.

표면조도를 갖는 회전판 주위의 유동 (Flow Near a Rotating Disk with Surface Roughness)

  • 박준상;윤명섭;현재민
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.634-639
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    • 2003
  • It has been studied the flow near a rotating disk with surface topography. The system Ekman number is assumed very small, i.e., $E[{\equiv}\frac{\nu}{{\Omega}^{\ast}L^{\ast2}}]<<1$ in which $L^{\ast}$ denotes a disk radius, ${\nu}$ kinematic viscosity of the fluid and ${\Omega}^{\ast}$ angular velocity of the basic state. Disk surface has a sinusoidal topographic variation along radial coordinate, i.e., $z={\delta}cos(2{\pi}{\omega}r)$, where ${\delta}$ and ${\omega}$ are, respectively, nondimensional amplitude and wave number of the disk surface. Analytic solutions, being useful over the parametric ranges of ${\delta}{\sim}O$( $E^{1/2}$ ) and ${\omega}{\leq}O$ ( $E^{1/2}$ ), are secured in a series-function form of Fourier-Bessel type. An asymptotic behavior, when $E{\rightarrow}0$, is clarified as : for a disk with surface roughness, in contrast to the case of a flat disk, the azimuthal velocity increases in magnitude, together with the thickening boundary layer. The radial velocity, however, decreases in magnitude as the amplitude of surface waviness increases. Consequently, the overall Ekman pumping at the edge of the boundary layer remains unchanged, maintaining the constant value equal to that of the flat disk.

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