• 제목/요약/키워드: l-axial distribution

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New Family of the Exponential Distributions for Modeling Skewed Semicircular Data

  • Kim, Hyoung-Moon
    • 응용통계연구
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    • 제22권1호
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    • pp.205-220
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    • 2009
  • For modeling skewed semicircular data, we derive new family of the exponential distributions. We extend it to the l-axial exponential distribution by a transformation for modeling any arc of arbitrary length. It is straightforward to generate samples from the f-axial exponential distribution. Asymptotic result reveals two things. The first is that linear exponential distribution can be used to approximate the l-axial exponential distribution. The second is that the l-axial exponential distribution has the asymptotic memoryless property though it doesn't have strict memoryless property. Some trigonometric moments are also derived in closed forms. Maximum likelihood estimation is adopted to estimate model parameters. Some hypotheses tests and confidence intervals are also developed. The Kolmogorov-Smirnov test is adopted for goodness of fit test of the l-axial exponential distribution. We finally obtain a bivariate version of two kinds of the l-axial exponential distributions.

A New Family of Semicircular Models: The Semicircular Laplace Distributions

  • Ahn, Byoung-Jin;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • 제15권5호
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    • pp.775-781
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    • 2008
  • It is developed that a family of the semicircular Laplace distributions for modeling semicircular data by simple projection method. Mathematically it is simple to simulate observations from a semicircular Laplace distribution. We extend it to the l-axial Laplace distribution by a simple transformation for modeling any arc of arbitrary length. Similarly we develop the l-axial log-Laplace distribution based on the log-Laplace distribution. A bivariate version of l-axial Laplace distribution is also developed.

Projected Circular and l-Axial Skew-Normal Distributions

  • Seo, Han-Son;Shin, Jong-Kyun;Kim, Hyoung-Moon
    • 응용통계연구
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    • 제22권4호
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    • pp.879-891
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    • 2009
  • We developed the projected l-axial skew-normal(LASN) family of distributions for I-axial data. The LASN family of distributions contains the semicircular skew-normal(SCSN) and the circular skew-normal(CSN) families of distributions as special cases. The LASN densities are similar to the wrapped skew-normal densities for the small values of the scale parameter. However CSN densities have more heavy tails than those of the wrapped skew-normal densities on the circle. Furthermore the CSN densities have two modes as the scale parameter increases. The LASN distribution has very convenient mathematical features. We extend the LASN family of distributions to a bivariate case.

인공디스크에 대한 생체역학적 분석 (Biomechanical Analysis of the Artificial Discs)

  • 김영은;윤상석;정상기
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.907-910
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    • 2005
  • Although several artificial disc designs have been developed for the treatment of discogenic low back pain, biomechanical change with its implantation was rarely studied. To evaluate the effect of artificial disc implantation on the biomechanics of functional spinal unit, nonlinear three-dimensional finite element model of L4-L5 was developed with 1-mm CT scan data. Two models implanted with artificial discs, SB $Charit\acute{e}$ or Prodisc, via anterior approach were also developed. The implanted model predictions were compared with that of intact model. Angular motion of vertebral body, force on spinal ligaments and facet joint, and the stress distribution of vertebral endplate for flexion-extension, lateral bending, and axial rotation with a compressive preload of 400 N were compared. The implanted model showed increased flexion-extension range of motion and increased force in the vertically oriented ligaments, such as ligamentum flavum, supraspinous ligament and interspinous ligament. The increase of facet contact force on extension were greater in implanted models. The incresed stress distribution on vertebral endplate for implanted cases indicated that additinal bone growth around vertebral body and this is matched well with clinical observation. With axial rotation moment, relatively less axial rotation were observed in SB $Charit\acute{e}$ model than in ProDisc model.

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316L 스테인리스강 원통 구조물의 열라체팅 변형 시험 및 해석 (Test and Analysis of Thermal Ratcheting Deformation for 316L Stainless Steel Cylindrical Structure)

  • 이형연;김종범;이재한
    • 대한기계학회논문집A
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    • 제26권3호
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    • pp.479-486
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    • 2002
  • In this study, the progressive inelastic deformation, so called, thermal ratchet phenomenon which can occur in high temperature structures of liquid metal reactor was simulated with thermal ratchet structural test facility and 316L stainless steel test cylinder. The thermal ratchet deformation at the reactor baffle cylinder of the liquid metal reactor can occur due to the moving temperature distribution along the axial direction as the sodium free surface moves up and down under the cyclic heat-up and cool-down transients. The ratchet deformation was measured with the laser displacement sensor and LVDTs after cooling the structural specimen which is heated up to 55$0^{\circ}C$ with steep temperature gradients along the axial direction. The temperature distribution of the test cylinder along the axial direction was measured with 28 channels of thermocouples and was used for the ratchet analysis. The thermal ratchet deformation was analyzed with the constitutive equation of nonlinear combined hardening model which was implemented as ABAQUS user subroutine and the analysis results were compared with those of the test. Thermal ratchet load was applied 9 times and the residual displacement after 9 cycles of thermal load was measured to be 1.79mm. The ratcheting deformation shapes obtained by the analysis with the combined hardening model were in reasonable agreement with those of the structural tests.

2개의 축방향핀을 가진 전도관과 원통사이의 자연대류 열전달 (Natural Convection Heat Transfer from a Conducting Tube with Two Axial Fins to a Surrounding Cylinder)

  • 정한식;이상훈;김찬원;권순석
    • 설비공학논문집
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    • 제1권3호
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    • pp.244-251
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    • 1989
  • A numerical study has been performed on the natural convection heat transfer from a conducting tube with two axial fins to a surrounding cylinder. As increasing dimensionless fin length ($L_F$), the center of flow moves to the bottom of annulus and the recirculating flow rate is decreased. The maximum local Nusselt number of conducting tube appears at ${\theta}=180^{\circ}$ for $L_F=0.0$, but at ${\theta}=130^{\circ}$ for $L_F{\geq}0.3$ and that of outer cylinder appears at ${\theta}=13^{\circ}$ for $L_F{\leq}0.6$ but at ${\theta}=33^{\circ}$ for $L_F=1.0$. The fin temperature is decreased by increasing radial distance and the temperature distribution of the downward fin is generally less than that of the upward fin. By increasing fin length, the local Nusselt number of the upward fin appears negative values for $L_F=1.0$, but appears positive values for $L_F<0.8$, and that of the downward fin appears positive values.

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Behavior of L-shaped double-skin composite walls under compression and biaxial bending

  • Qin, Ying;Chen, Xin;Xi, Wang;Zhu, Xingyu;Chen, Yuanze
    • Steel and Composite Structures
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    • 제37권4호
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    • pp.405-418
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    • 2020
  • The application of double-skin composite wall should meet different layout plans. However, most available research focused on the rectangular section with uniform axial compression. In this research, the structural behavior of double-skin composite wall with L section was studied. Due to the unsymmetric geometric characteristics, the considered loading condition combined the axial compression and biaxial bending. Five specimens were designed and tested under eccentric compression. The variables in the test included the width of the web wall, the truss spacing, the thickness of the steel faceplate, and the thickness of the web wall. The test results were discussed in terms of the load-displacement responses, buckling behavior, stiffness, ductility, strength utilization, strain distribution. Two modern codes were employed to predict the interaction between the axial compression and the biaxial bending. The method to calculate the available bending moment along the two directions was proposed. It was found that CECS 159:2004 offers more suitable results than AISC 360.

316L 시험원통의 열라체팅 구조시험에 관한 연구 (A Study on Thermal Ratcheting Structure Test of 316L Test Cylinder)

  • 이형연;김종범;구경회
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.243-249
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    • 2001
  • In this study, the progressive inelastic deformation, so called, thermal ratchet phenomenon which can occur in high temperature liquid metal reactor was simulated with thermal ratchet structural test facility and 316L stainless steel test cylinder. The inelastic deformation of the reactor baffle cylinder can occur due to the moving temperature distribution along the axial direction as the hot free surface moves up and down under the cyclic heat-up and cool-down of reactor operations. The ratchet deformations were measured with the laser displacement sensor and LVDTs after cooling the structural specimen which experiences thermal load up to $550^{\circ}$ and the temperature differences of about $500^{\circ}C$. During structural thermal ratchet test, the temperature distribution of the test cylinder along the axial direction was measured from 28 channels of thermocouples and the temperatures were used for the ratchet analysis. The thermal ratchet deformation analysis was performed with the NONSTA code whose constitutive model is nonlinear combined kinematic and isotropic hardening model and the test results were compared with those of the analysis. Thermal ratchet test was carried out with respect to 9 cycles of thermal loading and the maximum residual displacements were measured to be 1.8mm. It was shown that thermal ratchet load can cause a progressive deformation to the reactor structure. The analysis results with the combined hardening model were in reasonable agreement with those of the tests.

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내측 연결 및 외측 연결 방식으로 설계된 임플란트의 3차원적 유한요소 응력 분석 (Stress distribution of implants with external and internal connection design: a 3-D finite element analysis)

  • 정현주;양성표;박재호;박찬;신진호;양홍서
    • 구강회복응용과학지
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    • 제33권3호
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    • pp.189-198
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    • 2017
  • 목적: 외측 육각형과 내측 원추형 연결부로 설계된 임플란트 지지 하악 구치 수복물에 교합력을 가할때 발생하는 생역학 현상을 분석하고자 한다. 연구 재료 및 방법: 외측 연결형 임플란트(EXHEX)와 내측 연결형 임플란트(INCON) 그리고 이와 결합할 해당 나사와 지대주 및 크라운을 제작하였고, 하악 무치악 치조골을 설계하였다. 각 부분을 조립하여 2종의 유한요소 모형을 제작하였다. 총 120 N 크기의 수직력(L1)과 45도 측방력(L2)을 가하였고, 유한요소 응력 분석을 시행하였다. 결과: L2 측방력 하중에 의해 발생한 최대 응력은 L1 수직력 하중에 의한 것 보다 6 - 15배 더 컸다. INCON 모델은 EXHEX 모델보다 크라운 교두부에서 2.2배 더 큰 변위량을 보여 주었다. 측방력에 의해 EXHEX 모델은 나사에서, INCON 모델은 임플란트 고정체의 상단 변연부에서 폰미세스 응력의 최대값이 관찰 되었다. INCON 모델에서는 임플란트 내부 계면에서 긴밀한 접촉이 유지 되었다. 결론: 측방력이 큰 변형과 응력을 발생하였으나, 임플란트에서의 최대 응력 발생부위는 INCON과 EXHEX 모델이 서로 상이하였다.