• Structural Engineering and Mechanics
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• 제33권2호
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• pp.193-213
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• 2009

In this paper structural analysis of nonhomogeneous nanotubes has been carried out using nonlocal elasticity theory. Governing differential equations of nonhomogeneous nanotubes are derived. Nanotubes include both single wall nanotube (SWNT) and double wall nanotube (DWNT). Nonlocal theory of elasticity has been employed to include the scale effect of the nanotubes. Nonlocal parameter, elastic modulus, density and diameter of the cross section are assumed to be functions of spatial coordinates. General Differential Quadrature (GDQ) method has been employed to solve the governing differential equations of the nanotubes. Various boundary conditions have been applied to the nanotubes. Present results considering nonlocal theory are in good agreement with the results available in the literature. Effect of variation of various geometrical and material parameters on the structural response of the nonhomogeneous nanotubes has been investigated. Present results of the nonhomogeneous nanotubes are useful in the design of the nanotubes.

• 한국산학기술학회논문지
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• 제14권5호
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• pp.2505-2510
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• 2013

점토지반에서 횡방향하중을 받는 불균질말뚝과 균질말뚝의 거동에 영향을 미치는 인자를 파악하고 개발된 해석기법을 적용하여 매개변수 연구를 수행하였다. 매개변수연구에서 고려한 2개의 균질말뚝에 있어 말뚝 근입깊이에 따른 매개변수는 휨강성이 클수록 크게 계산되었다. 불균질말뚝에 대한 매개변수는 재료경계점에서 멀어짐에 따라 동일한 휨강성을 갖는 균질말뚝의 매개변수에 수렴하였다. 균질말뚝과 유사한 하중지지능력을 발휘할 수 있도록 하는 적절한 불균질말뚝의 상부길이를 결정하기 위해서는 균질말뚝과 불균질말뚝의 매개변수 변화양상과 해석을 통해 얻는 횡방향변위 및 부재력 등을 종합적으로 비교해야 한다.

• Geomechanics and Engineering
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• 제14권1호
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• pp.71-81
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• 2018

Soils are mostly nonhomogeneous and anisotropic in nature. In this study, nonhomogeneity and anisotropy of soil are taken into consideration by assuming that the cohesion increases with depth linearly and also varies with respect to direction at a particular point. A three-dimensional rotational failure mechanism is adopted, and then a three-dimensional stability analysis of slope is carried out with the failure surface in the shape of a curvilinear cone in virtue of the limit analysis method. A quasistatic approach is used to develop stability charts in nonhomogeneous and anisotropic soils. One can easily read the safety factors from the charts without the need for iterative procedures for safety factors calculation. The charts are of practical importance to prevent a plane failure in excavation slope whether it is physically constrained or not. Then the most suitable location of piles within the reinforced slope in nonhomogeneous and anisotropic soils is explored, as well as the interactions of nonhomogeneous and anisotropic coefficients on pile reinforcement effects. The results indicate that piles are more effective when they are located between the middle and the crest of the slope, and the nonhomogeneous coefficient as well as the anisotropic coefficient will not only influence the most suitable location for piles but also affect the calculated safety factor of existing reinforced slope. In addition, the two coefficients will interact with each other on the effect on slope reinforcement.

• 한국산학기술학회논문지
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• 제13권3호
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• pp.1391-1395
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• 2012

불균질지반의 압밀에 미치는 투수계수와 압밀계수의 영향을 살펴보고자 해석목적에 맞게 자체적으로 코딩한 프로그램을 사용하였다. 두 개의 압밀층으로 구성된 해석대상지반에 대하여 투수계수와 압밀계수를 달리한 다양한 조건을 가정하여 압밀해석을 수행하였다. 해석결과에 따르면 불균질지반에서의 과잉간극수압분포 및 압밀침하량에 미치는 영향에 있어서는 압밀계수의 영향이 큼을 알 수 있었고 투수계수의 영향은 미미하였다.

• 한국통신학회논문지
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• 제31권7C호
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• pp.725-734
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• 2006

이 논문의 1부에 이어, 수신안테나 다양성을 쓰는 직접수열 부호분할 다중접속(direct-sequence code division multiple access: DS/CDMA) 시스템에서 의사잡음(pseudonoise: PN) 부호를 획득할 때 평균값(cell average: CA), 큰값(greatest of: GO), 작은값(smallest of: SO) 일정 오경보 확률(constant false alarm rate: CFAR) 처리기의 성능 특성을 비균질 (nonhomogeneous) 잡음 환경에서 얻고 견주어 본다. 균질 잡음 환경에서와는 다르게, 비균질 잡음 환경에서는 큰값 일정 오경보 확률 처리기가 가장 성능이 좋고, 평균값 일정 오경보 확률 처리기가 그 다음으로 성능이 좋다는 것을 볼 수 있다.

• 대한수학회보
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• 제55권2호
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• pp.545-559
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• 2018

In this paper we mainly investigate the properties of the solutions to a type of nonhomogeneous algebraic differential equation in an angular domain. It includes the Borel directions of the solutions, the width of angular domains in which the solutions take its order and the measure of radial distributions of Julia sets of the solutions.

• Journal of applied mathematics & informatics
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• 제30권3_4호
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• pp.541-553
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• 2012

In this paper, we study some limit properties of the harmonic mean of random transition probability for a second-order nonhomogeneous Markov chain on the generalized gambling system indexed by a tree by constructing a nonnegative martingale. As corollary, we obtain the property of the harmonic mean and the arithmetic mean of random transition probability for a second-order nonhomogeneous Markov chain indexed by a double root tree.

• Journal of applied mathematics & informatics
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• 제30권1_2호
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• pp.83-92
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• 2012

In this paper, a generalized Shannon-McMillan theorem for the nonhomogeneous Markov chains indexed by an infinite tree which has a uniformly bounded degree is discussed by constructing a nonnegative martingale and analytical methods. As corollaries, some Shannon-Mcmillan theorems for the nonhomogeneous Markov chains indexed by a homogeneous tree and the nonhomogeneous Markov chain are obtained. Some results which have been obtained are extended.

• 한국경영과학회지
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• 제17권2호
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• pp.131-144
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• 1992

Even though nonhomogeneous Markov Decision Processes subsume homogeneous Markov Decision Processes and are more practical in the real world, there are many results for them. In this paper we address the nonhomogeneous Markov Decision Process with objective to maximize average reward. By extending works of Ross [17] in the homogeneous case adopting the result of Bean and Smith [3] for the dicounted deterministic problem, we first transform the original problem into the discounted nonhomogeneous Markov Decision Process. Then, secondly, we transform into the discounted deterministic problem. This approach not only shows the interrelationships between various problems but also attacks the solution method of the undiscounted nohomogeneous Markov Decision Process.

• 한국안전학회지
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• 제8권4호
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• pp.114-119
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• 1993

The explosion characteristics of nonhomogeneous LPG-Air mixtures was measured in a cylindrical vessel and a pipe. The maximum explosion pressure, the maximum rate of explosion pressure rise, and the flame propagation velocity were measured and compared with that of homogeneous explosion by changing the effective factors on the explosion of nonhomogeneous mixtures such as pressure difference, effusion time and delay time. Explosion was occured even in the lower concentration than the lean flammability limit of mixture. The maximum explosion pressure was increased with increase of LPG concentration, however, the maximum explosion pressure rise was not in the nonhomogeneous explosion. An d the flame propagation velocity was decreased with nonhomogeneity, however, the maximum explosion pressure was always above 0.7kg/$\textrm{cm}^2$.