• Computers and Concrete
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• 제29권1호
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• pp.1-14
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• 2022

Several aspects influence corrosive processes in reinforced concrete (RC) structures such as environmental conditions, structural geometry and mechanical properties. Since these aspects present large randomnesses, probabilistic models allow a more accurate description of the corrosive phenomena. Besides, the definition of limit states in the reliability assessment requires a proper mechanical model. In this context, this study proposes a straightforward methodology for the mechanical-probabilistic modelling of RC structures subjected to reinforcements' corrosion. An improved damage approach is proposed to define the limit states for the probabilistic modelling, considering three main degradation phenomena: concrete cracking, rebar yielding and rebar corrosion caused either by chloride or carbonation mechanisms. The stochastic analysis is evaluated by the Monte Carlo simulation method due to the computational efficiency of the Lumped Damage Model for Corrosion (LDMC). The proposed mechanical-probabilistic methodology is implemented in a computational framework and applied to the analysis of a simply supported RC beam and a 2D RC frame. Curves illustrate the probability of failure evolution over a service life of 50 years. Moreover, the proposed model allows drawing the probability of failure map and then identifying the critical failure path for progressive collapse analysis. Collapse path changes caused by the corrosion phenomena are observed.

• 대한수학회논문집
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• 제25권1호
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• pp.119-128
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• 2010

Let ${X_n,\;n\geq1}$ be a sequence of independent identically distributed (i.i.d.) random variables (r.vs.), defined on a probability space ($\Omega$,A,P), and let ${N_n,\;n\geq1}$ be a sequence of positive integer-valued r.vs., defined on the same probability space ($\Omega$,A,P). Furthermore, we assume that the r.vs. $N_n$, $n\geq1$ are independent of all r.vs. $X_n$, $n\geq1$. In present paper we are interested in asymptotic behaviors of the random sum $S_{N_n}=X_1+X_2+\cdots+X_{N_n}$, $S_0=0$, where the r.vs. $N_n$, $n\geq1$ obey some defined probability laws. Since the appearance of the Robbins's results in 1948 ([8]), the random sums $S_{N_n}$ have been investigated in the theory probability and stochastic processes for quite some time (see [1], [4], [2], [3], [5]). Recently, the random sum approach is used in some applied problems of stochastic processes, stochastic modeling, random walk, queue theory, theory of network or theory of estimation (see [10], [12]). The main aim of this paper is to establish some results related to the asymptotic behaviors of the random sum $S_{N_n}$, in cases when the $N_n$, $n\geq1$ are assumed to follow concrete probability laws as Poisson, Bernoulli, binomial or geometry.

• 지질공학
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• 제20권4호
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• pp.425-436
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• 2010

이 연구는 부산광역시 기장군 일광면 일대의 일광광산 주변에 위치한 절리암반에 대하여 추계론적 해석기법을 적용하여 삼차원 절리연결구조를 구현하고 절리의 기하학적 특성에 따른 광산배수 산성도의 특성을 고찰하였다. 절리 분포특성을 규명하기 위하여 산성광산배수 발생 가능지역을 중심으로 지표 선형조사선과 시추공영상촬영에 의한 절리조사를 실시하였다. 일광광산의 현장실험 암반에 대한 삼차원 절리연결구조 모델이 추계론적으로 구현되었다. 예측된 절리분포의 타당성을 검토한 결과 모사된 삼차원 절리연결구조는 현장암반의 절리 분포특성을 잘 반영하는 것으로 나타났으며 광산배수 유동에 대한 개관적인 개념을 제공할 수 있다. 현장에서 자연수 주입으로 산성배수를 유도하기 위한 주입공 1공 및 관측공 3공이 설치되었다. 총 29일 동안 주입공으로 투입된 자연수를 모니터링한 결과 절리연결구조에 따른 절리의 기하학적 모수와 산성광산배수 발생 간에 상관성이 있는 것으로 해석되었다. 절리주향의 상대빈도가 상대적으로 큰 방향으로의 관측공에서 높은 값의 pH를， 그리고 낮은 값의 $SO^{2-}_4$ 농도가 측정되었다. 전반적인 추세는 절리주향의 상대빈도가 증가할수록 pH는 로그함수적인 증가를 보이며 $SO^{2-}_4$ 농도는 로그함수적인 감소를 나타내며 높은 결정계수의 상관성을 갖는다. 절리밀도가 상대적으로 큰 방향으로의 관측공에서 낮은 값의 pH를, 그리고 높은 값의 $SO^{2-}_4$ 농도가 측정되었다. 전반적인 추세는 1-D 절리밀도가 증가할수록 pH는 음지수함수적인 감소를 보이며 $SO^{2-}_4$ 농도는 지수함수적인 증가를 나타낸다.

• 한국해안해양공학회지
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• 제5권4호
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• pp.271-278
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• 1993

해저최소 Scale의 지형인 사연은 Scale은 작지만, 표사이동을 유발시키는 중요한 요소중의 하나이다. 본 연구는 이러한 해저사연의 형상특성을 면밀히 검토하고, 종래 검토되지 않았던 3차원 사연의 통계적 형상특성을 분석하였다. 또한 내습파가 변화할 경우, 이미 형성되어져 있는 사연이 새롭게 형성되는 사연에 미치는 영향(현지에서 사연의 이역효과)에 대해서 검토하였다. 그 결과, 파고가 증가하거나 감소하는 이역효과의 영향을 입은 사연의 무차원파장은 지금까지의 Flat bed에서 직접 형성된 사연의 무차원파장보다 그 값이 크고, 현지사연의 무차원파장에 보다 근접한 값을 나타냈다. 따라서, 현지와 실험실의 Scale의 차이(축척효과)는 이와 같은 사연의 이역효과가 하나의 요인으로 작용하고 있는 것이 확인되었다.

• 한국자기학회지
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• 제19권1호
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• pp.1-4
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• 2009

미소자기학 모델을 이용하여, 인위적 반강자성체에서 자화의 시도주파수에 대한 연구를 진행하였다. 다양한 일축 자기이방성, 패턴 구조 및 패턴된 시편의 에너지 장벽 크기에 대해 시도주파수를 조사하였다. 시편의 부피가 동일한 경우, 인위적 반강자성체를 구성하는 두 자성층의 결합 자기장에 따라 시도주파수가 변화하는 것을 관측하였다. 또한 에너지 장벽의 크기가 동일한 경우에도, 일축 자기이방성에 따라 시도주파수가 매우 크게 변하는 사실을 알게 되었다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2007년도 춘계학술대회B
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• pp.2951-2954
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• 2007

Tumor hemodynamics in vascular state is numerically simulated using pressure node solution. The tumor angiogenesis pattern in our previous study is used for the geometry of vessel networks. For tumor angiogenesis, the equation that governed angiogenesis comprises a tumor angiogenesis factor (TAF) conservation equation in time and space, which is solved numerically using the Galerkin finite element method. A stochastic process model is used to simulate vessel formation and vessel. In this study, we use a two-dimensional model with planar vessel structure. Hemodynamics in vessel is assumed as incompressible steady flow with Newtonian fluid properties. In parent vessel, arterial pressure is assigned as a boundary condition whereas a constant terminal pressure is specified in tumor inside. Kirchhoff's law is applied to each pressure node to simulate the pressure distribution in vessel networks. Transient pressure distribution along with angiogenesis pattern is presented to investigate the effect of tumor growth in tumor hemodynamics.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제6권10호
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• pp.2548-2566
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• 2012

This paper derives two main end-to-end performance metrics, namely the spatial capacity density and the average end-to-end delay of the multi-hop wireless ad hoc networks with multi-antenna communications. Based on the closed-form expressions of these performance metrics, three hopping strategies, i.e., the closest neighbor, the furthest neighbor and the randomly selected neighbor hopping strategies have been investigated. This formulation provides insights into the relations among node density, diversity gains, number of hops and some other network design parameters which jointly determine network performances, and a method of choosing the best hopping strategy which can be formulated from a network design perspective.

• Journal of Communications and Networks
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• 제18권5호
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• pp.773-783
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• 2016

Both coordinated multi-point transmission and frequency reuse are effective approaches to mitigate inter-cell interference and improve network coverage. The motivation of this work is to explore the manner to effectively utilize the spectrum resource by reasonably combining cooperation and frequency reuse. The $Mat{\acute{e}}rn$ cluster process, which is appropriate to model networks with hot spots, is used to model the spatial distribution of base stations. Two cooperative mechanisms, coherent and non-coherent joint transmission (JT), are analyzed and compared. We also evaluate the effect of multiple antennas and imperfect channel state information. The simulation reveals that the proposed approach to combine cooperation and frequency reuse is effective to improve the network coverage for users located at both the center and the boundary of the cooperative region.

• Communications for Statistical Applications and Methods
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• 제22권1호
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• pp.69-80
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• 2015

In this paper, the probability that a given point is covered by a random convex hull generated by independent and identically-distributed random points in a plane is studied. It is shown that such probability can be expressed in terms of an integral that can be approximated numerically by function-evaluations over the grid-points in a 2-dimensional space. The new integral representation allows such probability be computed efficiently. The computational burdens under the proposed integral representation and those in the existing literature are compared. The proposed method is illustrated through numerical examples where the random points are drawn from (i) uniform distribution over a square and (ii) bivariate normal distribution over the two-dimensional Euclidean space. The applications of the proposed method in statistics are are discussed.

• Structural Engineering and Mechanics
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• 제49권3호
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• pp.329-353
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• 2014

Increasing usage of tank cars and their intrinsic instability due to sloshing of contents have caused growing maintenance costs as well as more frequent hazards and defects like derailment and fatigue of bogies and axels. Therefore, varieties of passive solutions have been represented to improve dynamical parameters. In this task, assuming 22 degrees of freedom, dynamic analysis of partially filled tank car traveling on a curved track is investigated. In order to consider stochastic geometry of track; irregularities have been derived randomly by Mont Carlo method. More over the fluid tank model with 1 degree of freedom is also presented by equivalent mechanical approach in terms of pendulum. An active suspension system for described car is designed by using linear quadratic optimal control theory to decrease destructive effects of fluid sloshing. Eventually, the performance of the active suspension system has been compared with that of the passive one and a study is carried out on how active suspension may affect the dynamical parameters such as displacements and Nadal's derailment index.