• 제목/요약/키워드: Homogeneous function

검색결과 439건 처리시간 0.024초

경사기능재료 사각 판의 열 탄성 변형과 응력 해석 (Thermoelastic deformation and stress analysis of a FGM rectangular Plate)

  • 김귀섭
    • 한국항공우주학회지
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    • 제31권1호
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    • pp.34-41
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    • 2003
  • 경사기능재료 판에 대한 열탄성 변형과 응력 해석을 위해 Green 함수 방법이 채택되었다. 3차원 정상 온도분포에 대한 해는 적층판 이론에 의해 얻어진다. 열탄성 문제에 대한 기본 방정식은 각각 평면의(out-plane) 변형과 평면내(in-plane) 힘에 의해 유도되었다. 굽힙과 평면내 힘으로 인한 열탄성 변형과 응력분포는 Galerkin 방법에 근거한 Green 함수를 이용하여 해석되었다. 열탄성 변형과 응력분포 해석을 위한 Galerkin Green 함수의 특성함수들은 사각판의 제차 경계조건을 만족시키는 허용함수들의 급수 형태로 근사화 되었다. 수치예제가 수행되었으며, 경사기능재료의 물성치가 판의 열탄성 거동에 미치는 영향이 검토되었다.

Evaluation of the Function exp$(x^2)$ erfc(x) to Higher Precisions for Higher Order Derivative Polarography of CE-type Electrode Process

  • Kim, Myung-Hoon;Smith, Veriti P.;Hong, Tae-Kee
    • Bulletin of the Korean Chemical Society
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    • 제11권6호
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    • pp.497-505
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    • 1990
  • The function exp$(x^2)$erfc(x), which is often encountered in studies of electrode kinetics, is evaluated to an extended precision with 32 significant decimal digits in order to find theoretical relationships used in derivative polarography/voltammetry for a chemically-coupled electrode process. Computations with a lower precision are not successful. Evaluation of the function is accomplished by using three types of expansions for the function. Best ranges of arguments are selected for each equation for particular precisions for efficiencies. The method is successfully applied to calculate higher-order derivatives of the current-potential curves in all potential ranges for a reversible electron transfer reaction coupled with a prior chemical equilibrium (i.e., a CE type process). Various parameters that characterize the peak asymmetry (such as ratios of peak-heights, ratios of half-peak-widths, and separations in peak-potentials) are analyzed to find how kinetic and thermodynamic parameters influence shapes of the derivatives. The results from the CE process is compared with those from an EC process in which a reversible electron transfer is coupled with a follow-up homogeneous chemical reaction. The two processes exibit quite contrasting differences for values of the parameters.

Deflection of axially functionally graded rectangular plates by Green's function method

  • Rezaiee-Pajand, Mohammad;Sani, Ahmad Aftabi;Hozhabrossadati, Seyed Mojtaba
    • Steel and Composite Structures
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    • 제30권1호
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    • pp.57-67
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    • 2019
  • This paper deals with the static analysis of axially functionally graded rectangular plates. It is assumed that the flexural rigidity of the plate varies exponentially along one of the plate's in-plane dimensions. Both an analytical approach and a numerical method are utilized to solve the problem. The analytical solution is obtained by using the Green's function method. To employ this approach, the adjoint boundary value problem is established. Then, exact solutions for deflection of the plate for different boundary conditions are found. In another way, a finite element formulation for the problem is developed. In order to demonstrate the validity of the Authors' formulation, the results obtained via both mentioned schemes are compared with each other for functionally graded plates and with results of previously published works for homogeneous plates. The effect of plate parameters on the response of the plate is also investigated. To remind the research background, a brief review on the application of Green's function method in plates' analysis and functionally graded plates is also presented.

대수형 학습효과에 근거한 소프트웨어 신뢰모형에 관한 통계적 공정관리 비교 연구 (The Assessing Comparative Study for Statistical Process Control of Software Reliability Model Based on Logarithmic Learning Effects)

  • 김경수;김희철
    • 디지털융복합연구
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    • 제11권12호
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    • pp.319-326
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    • 2013
  • 소프트웨어의 디버깅 오류의 발생 시간에 의존하는 많은 소프트웨어 신뢰성 모델이 연구되었다. 소프트웨어 오류 탐색 기법은 사전에 알지 못하지만 자동적으로 발견되는 에러를 고려한 영향요인과 사전 경험에 의하여 세밀하게 에러를 발견하기 위하여 테스팅 관리자가 설정해놓은 요인인 학습효과의 특성에 대한 문제를 비교 제시 하였다. 본 연구에서는 학습효과 비동질적인 유한고장모형 분석을 위한 모수 추정은 우도함수를 이용하였다. 소프트웨어 시장에 인도하기 위한 결정에 대하여 조건부 고장률은 중요한 변수가 되고 이러한 고장 모델은 실제 상황에서 많이 사용되고 있다. 통계적 공정 관리 (SPC)는 소프트웨어 오류의 예측을 모니터링 함으로써 소프트웨어의 신뢰성 향상에 크게 기여할 수 있다. 이러한 컨트롤 차트는 널리 소프트웨어 산업의 소프트웨어 프로세스 제어를 위해 사용된다. 본 연구에서는 로그 위험 학습 효과 속성의 비동질적인 포아송 과정의 평균값 기능을 사용한 컨트롤 메커니즘을 제안하였다.

Application of random regression models for genetic analysis of 305-d milk yield over different lactations of Iranian Holsteins

  • Torshizi, Mahdi Elahi;Farhangfar, Homayoun;Mashhadi, Mojtaba Hosseinpour
    • Asian-Australasian Journal of Animal Sciences
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    • 제30권10호
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    • pp.1382-1387
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    • 2017
  • Objective: During the last decade, genetic evaluation of dairy cows using longitudinal data (test day milk yield or 305-day milk yield) using random regression method has been officially adopted in several countries. The objectives of this study were to estimate covariance functions for genetic and permanent environmental effects and to obtain genetic parameters of 305-day milk yield over seven parities. Methods: Data including 60,279 total 305-day milk yield of 17,309 Iranian Holstein dairy cows in 7 parities calved between 20 to 140 months between 2004 and 2011. Residual variances were modeled by homogeneous and step functions with 7 and 10 classes. Results: The results showed that a third order polynomial for additive genetic and permanent environmental effects plus a step function with 10 classes for the residual variance was the most adequate and parsimonious model to describe the covariance structure of the data. Heritability estimates obtained by this model varied from 0.17 to 0.28. The performance of this model was better than repeatability model. Moreover, 10 classes of residual variance produce the more accurate result than 7 classes or homogeneous residual effect. Conclusion: A quadratic Legendre polynomial for additive genetic and permanent environmental effects with 10 step function residual classes are sufficient to produce a parsimonious model that explained the change in 305-day milk yield over consecutive parities of Iranian Holstein cows.

블록체인 상호호환성 메커니즘 (Blockchain Interoperability Mechanism)

  • 쩌우칭;이영석
    • 한국정보통신학회논문지
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    • 제25권11호
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    • pp.1676-1686
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    • 2021
  • 본 논문에서는 모듈화, 추상화, 계층화 개념을 기반으로 블록체인 상호호환성을 제공하기 위한 크로스-체인 개념의 해결방안을 제안한다. 컨센서스 알고리즘과 특정한 응용 로직으부터 크로스-체인 기능을 분리하며, 크로스-체인운영의 타당성과 합법성을 보장하기 위해 머클 증명을 활용한다. 또한, 동종 블록 체인과 이종 블록 체인의 기본 구현이 다르기 때문에 크로스-체인에서는 이를 분리하여 다루기로 한다. 동종 블록 체인의 경우 TCP와 유사한 크로스-체인 전송 프로토콜(CCTV)을 제안한다. 이종 블록 체인의 경우 크로스-체인 기능을 실현하기 위해 릴레이 체인을 구성하는 방법을 제시한다. 제안된 방식은 크로스-체인 데이터의 정확하고 효과적이며 신뢰할 수 있고 질서 있고 시기 적절한 전송을 가능하게 할 수 있다.

멀티캐스트 교환기내 혼합 트래픽의 성능분석 (Blocking Probability of Hererogeneous Traffic in a Multicast Switch)

  • 김종권
    • 한국통신학회논문지
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    • 제19권11호
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    • pp.2215-2227
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    • 1994
  • 단일 교환기로 다양한 유형을 효율적으로 지원할 수 잇는 멀티캐스트 교환기는 광대역 종합망의 성공적인 확산에 필요 불가결한 요소이다. 본 논문에서는 멀티캐스트 교환기에서 이질적 트래픽이 혼합된 환경을 가정하고 회선 에뮬레이션 트래픽의 성능을 분석하였다. 기존의 연구에서, 모든 호가 동일한 fan-out을 갖는 동질 트래픽 환경에서 fan out이 증가함에 따라 호 불통률이 급격히 증가하는 것이 관찰되었다. 본 논문에서는 fan-out이 서로 다른 호가 혼합된 이질 트래픽 환경에서는 fan-out에 따른 호 불통률 차이가 동절 트래픽 경우보다 오히려 증가하는 결과를 도출하였다. 이 결과는 멀티캐스트 교환기에서 멀티캐스트 호의 성능을 향상시키기 위한 효율적인 자원 할당 알고리듬을 사용해야 한다는 것을 지적하고 있다. 본 논문에서는 멀티캐스트 교환기의 성능을 향상시킬 수 있는 몇가지 방안을 제시하였다.

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급속응고 6061Al/Graphite 복합재료의 볼밀링 시간에 따른 흑연 분산거동 및 기계적 특성 (Effect of Ball milling Time on Graphite Dispersion and Mechanical Properties in Rapidly Solidified 6061 Al Composite)

  • 손현택;이재설;홍순직;천병선
    • 한국분말재료학회지
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    • 제16권3호
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    • pp.209-216
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    • 2009
  • A composite of rapidly solidified Al-6061 alloy powder with graphite particle reinforcements was prepared by ball milling and subsequent hot extrusion. The microstructure and mechanical properties of these composites were investigated as a function of milling time. With increasing milling time, the gas atomized initially and spherical powders became elongated with a maximum aspect ratio after milling for 30 h. Then, refinement and spheroidization were achieved by further milling to 70 h with a homogeneous and fine dispersion of graphite particles forming between the matrix alloy layers. The best compression and wear properties were obtained in the powder milled for 70 h, associated with the increased fine and homogeneous distribution of graphite particles in the aluminum alloy matrix.

Application of shear deformation theory for two dimensional electro-elastic analysis of a FGP cylinder

  • Arefi, M.;Rahimi, G.H.
    • Smart Structures and Systems
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    • 제13권1호
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    • pp.1-24
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    • 2014
  • The present study deals with two dimensional electro-elastic analysis of a functionally graded piezoelectric (FGP) cylinder under internal pressure. Energy method and first order shear deformation theory (FSDT) are employed for this purpose. All mechanical and electrical properties except Poisson ratio are considered as a power function along the radial direction. The cylinder is subjected to uniform internal pressure. By supposing two dimensional displacement and electric potential fields along the radial and axial direction, the governing differential equations can be derived in terms of unknown electrical and mechanical functions. Homogeneous solution can be obtained by imposing the appropriate mechanical and electrical boundary conditions. This proposed solution has capability to solve the cylinder structure with arbitrary boundary conditions. The previous solutions have been proposed for the problem with simple boundary conditions (simply supported cylinder) by using the routine functions such as trigonometric functions. The axial distribution of the axial displacement, radial displacement and electric potential of the cylinder can be presented as the important results of this paper for various non homogeneous indexes. This paper evaluates the effect of a local support on the distribution of mechanical and electrical components. This investigation indicates that a support has important influence on the distribution of mechanical and electrical components rather than a cylinder with ignoring the effect of the supports. Obtained results using present method at regions that are adequate far from two ends of the cylinder can be compared with previous results (plane elasticity and one dimensional first order shear deformation theories).

Torsional waves in fluid saturated porous layer clamped between two anisotropic media

  • Gupta, Shishir;Kundu, Santimoy;Pati, Prasenjit;Ahmed, Mostaid
    • Geomechanics and Engineering
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    • 제15권1호
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    • pp.645-657
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    • 2018
  • The paper aims to analyze the behaviour of torsional type surface waves propagating through fluid saturated inhomogeneous porous media clamped between two inhomogeneous anisotropic media. We considered three types of inhomogeneities in upper anisotropic layer which varies exponentially, quadratically and hyperbolically with depth. The anisotropic half space inhomogeneity varies linearly with depth and intermediate layer is taken as inhomogeneous fluid saturated porous media with sinusoidal variation. Following Biot, the dispersion equation has been derived in a closed form which contains Whittaker's function and its derivative, for approximate result that have been expanded asymptotically up to second term. Possible particular cases have been established which are in perfect agreement with standard results and observe that when one of the upper layer vanishes and other layer is homogeneous isotropic over a homogeneous half space, the velocity of torsional type surface waves coincides with that of classical Love type wave. Comparative study has been made to identify the effects of various dimensionless parameters viz. inhomogeneity parameters, anisotropy parameters, porosity parameter, and initial stress parameters on the torsional wave propagation by means of graphs using MATLAB. The study has its own relevance in connection with the propagation of seismic waves in the earth where fluid saturated poroelastic layer is present.