• Structural Engineering and Mechanics
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• 제11권4호
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• pp.373-392
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• 2001

The main idea behind the paper is to present two alternative methods of homogenization of the heat conduction problem in composite materials, where the heat conductivity coefficients are assumed to be random variables. These two methods are the Monte-Carlo simulation (MCS) technique and the second order perturbation second probabilistic moment method, with its computational implementation known as the Stochastic Finite Element Method (SFEM). From the mathematical point of view, the deterministic homogenization method, being extended to probabilistic spaces, is based on the effective modules approach. Numerical results obtained in the paper allow to compare MCS against the SFEM and, on the other hand, to verify the sensitivity of effective heat conductivity probabilistic moments to the reinforcement ratio. These computational studies are provided in the range of up to fourth order probabilistic moments of effective conductivity coefficient and compared with probabilistic characteristics of the Voigt-Reuss bounds.

• Structural Engineering and Mechanics
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• 제27권3호
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• pp.263-276
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• 2007

This paper presents a fuzzy finite element model for the analysis of structures in the presence of multiple uncertainties. A new methodology to evaluate the cumulative effect of multiple uncertainties on structural response is developed in the present work. This is done by modifying Muhanna's approach for handling single uncertainty. Uncertainty in load and material properties is defined by triangular membership functions with equal spread about the crisp value. Structural response is obtained in terms of fuzzy interval displacements and rotations. The results are further post-processed to obtain interval values of bending moment, shear force and axial forces. Membership functions are constructed to depict the uncertainty in structural response. Sensitivity analysis is performed to evaluate the relative sensitivity of displacements and forces to uncertainty in structural parameters. The present work demonstrates the effectiveness of fuzzy finite element model in establishing sharp bounds to the uncertain structural response in the presence of multiple uncertainties.

• 한국컴퓨터정보학회논문지
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• 제7권2호
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• pp.101-114
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• 2002

광역통신망에서 실시간 멀티미디어 응용은 보장된 통신 서비스 성능을 요구한다. 따라서 트래픽이 버스트 할 때 망 내에서 자원을 예약하여 통신망 접속시 최대 셀 율을 기반으로 연결수락 가능 범위를 높인다. 본 논문에서 결정론적 지연 범위을 이용하여 모든 접속에서 최대 전송율의 합이 링크 속도 보다 더 커질 때 버스트 상태의 트래픽에 대한 종단간 트래픽 지연이 보장됨을 보인다. 단일 스위치로부터 망의 종단간지연 보장을 위해서 연결별 트래픽 특성을 고려하여 지연 범위를 유도하여 연결 수락 가능한 네트워크 부하율을 개선시킬 수 있다. 결정론적 서비스를 이용한 멀티미디어 전송에서 제안한 버퍼링 시스템은 서비스 품질에 영향을 주지 않고, 종단간 지연 범위를 보장하면서. 버스트 트래픽 특성에 따라 지연이 증가하여도 네트워크의 부하를 감소시킬 수 있다. 제안된 방식은 실시간 트래픽 서비스 외에도 비실시간 트래픽 서비스를 수용할 수 있는 다양한 형태의 일반적 네트워크 환경에서도 효율적인 적용이 가능하다.

• Computers and Concrete
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• 제16권1호
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• pp.99-123
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• 2015

In this study, structural vulnerability of reinforced concrete moment resisting frames (RC-MRFs) by considering the Iran-specific characteristics is investigated to manage the earthquake risk in terms of multicomponent seismic excitations. Low and medium rise RC-MRFs, which constitute approximately 80-90% of the total buildings stock in Iran, are focused in this fragility-based assessment. The seismic design of 3-12 story RC-MRFs are carried out according to the Iranian Code of Practice for Seismic Resistant Design of Buildings (Standard No. 2800), and the analytical models are formed accordingly in open source nonlinear platforms. Frame structures are categorized in three subclasses according to the specific characteristics of construction practice and the observed seismic performance after major earthquakes in Iran. Both far and near fields' ground motions have been considered in the fragility estimation. An optimal intensity measure (IM) called Sa, avg and beta probability distribution were used to obtain reliable fragility-based database for earthquake damage and loss estimation of RC buildings stock in urban areas of Iran. Nonlinear incremental dynamic analyses by means of lumped-parameter based structural models have been simulated and performed to extract the fragility curves. Approximate confidence bounds are developed to represent the epistemic uncertainties inherent in the fragility estimations. Consequently, it's shown that including vertical ground motion in the analysis is highly recommended for reliable seismic assessment of RC buildings.

• Earthquakes and Structures
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• 제3권1호
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• pp.17-35
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• 2012

Simplified equations for fundamental period of vibration of skeletal structures provided by most seismic design provisions suffer from the absence of any associated confidence levels and of any reference to their empirical basis. Therefore, such equations may typically give a sector of designers the false impression of yielding a fairly accurate value of the period of vibration. This paper, although not addressing simplified codes equations, introduces a set of mathematical equations utilizing the theory of error propagation and First-Order Second-Moment (FOSM) techniques to determine bounds on the relative error in theoretically calculated fundamental period of vibration of skeletal structures. In a complementary step, and for verification purposes, Monte Carlo simulation technique has been also applied. The latter, despite involving larger computational effort, is expected to provide more precise estimates than FOSM methods. Studies of parametric uncertainties applied to reinforced concrete frame bents - potentially idealized as SDOF systems - are conducted demonstrating the effect of randomness and uncertainty of various relevant properties, shaping both mass and stiffness, on the variance (i.e. relative error) in the estimated period of vibration. Correlation between mass and stiffness parameters - regarded as random variables - is also thoroughly discussed. According to achieved results, a relative error in the period of vibration in the order of 19% for new designs/constructions and of about 25% for existing structures for assessment purposes - and even climbing up to about 36% in some special applications and/or circumstances - is acknowledged when adopting estimates gathered from the literature for relative errors in the relevant random input variables.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제9권1호
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• pp.79-90
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• 2005

In this paper we study the numerical solutions of the stochastic differential equations of the form $$du(x,\;t)=f(x,\;t,\;u)dt\;+\;g(x,\;t,\;u)dW(t)\;+\;\sum\limits_{|q|\leq2m}\;A_q(x,\;t)D^qu(x,\;t)dt$$ where $0\;{\leq}\;t\;{\leq}\;T,\;x\;{\in}\;R^{\nu}$, ($R^{nu}$ is the $\nu$-dimensional Euclidean space). Here $u\;{\in}\;R^n$, W(t) is an n-dimensional Brownian motion, $$f\;:\;R^{n+\nu+1}\;{\rightarrow}\;R^n,\;g\;:\;R^{n+\nu+1}\;{\rightarrow}\;R^{n{\times}n},$$, and $$A_q\;:\;R^{\nu}\;{\times}\;[0,\;T]\;{\rightarrow}\;R^{n{\times}n}$$ where ($A_q,\;|\;q\;|{\leq}\;2m$) is a family of square matrices whose elements are sufficiently smooth functions on $R^{\nu}\;{\times}\;[0,\;T]\;and\;D^q\;=\;D^{q_1}_1_{\ldots}_{\ldots}D^{q_{\nu}}_{\nu},\;D_i\;=\;{\frac{\partial}{\partial_{x_i}}}$.

• 대한방사선치료학회지
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• 제26권2호
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• pp.163-170
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• 2014

목 적 : 표재성 종양 치료를 위하여 선택한 전자선은 bolus와 동시에 사용할 경우 표면선량에 급격한 변화를 보이게 되며 이는 치료결과의 중요한 변수로 작용할 수 있다. 이에 본 논문에서는 전자선 치료에서 bolus가 적용될 경우 표면선량을 좌우할 수 있는 4 가지 변수에 따른 치료계획시스템(Treatment Planning System, TPS)의 표면선량 계산 값과 실제 측정값을 비교 분석하였다. 대상 및 방법 : 치료계획시스템(Pinnacle 9.2, philips, USA)과 실제 측정값을 비교하기 위하여 실제 치료 시 주로 발생되는 4가지 변수(A: bolus 두께 - 3, 5, 10 mm, B: 조사야 크기 - $6{\time}6$, $10{\time}10$, $15{\time}15cm2$, C: 에너지 - 6, 9, 12 MeV, D: 겐트리 각도 - 0, $15^{\circ}$)를 설정하였다. 16 cm 두께의 solid water phantom을 이용하여 bolus(Action Products, USA) 없이 전산화단층촬영(lightspeed ultra 16, General Electric, USA)을 시행하였고 치료 계획은 TPS 상에서 각각 3, 5, 10 mm bolus를 생성하여 A, B, C, D를 조합한 총 54개의 beam으로 계획하였다. 이때 SSD 100 cm, 300 MU를 조사하였고 TPS와 실제 측정값을 비교 분석하기 위해 EBT3 film(International Specialty Products, NJ, USA)을 이용해 iso-center에 위치시켜 2회 반복 측정하였다. 측정된 film은 디지털 평판 스캐너(Expression 10000XL, EPSON, USA)와 선량 농도 분석시스템(Complete Version 6.1, RIT, USA)을 사용하여 각각의 평균값과 표준편차 값으로 분석하였다. 결 과 : bolus 두께에 따른 값은 3, 5, 10 mm에서 실제 측정된 값이 TPS의 계산 값보다 각각 101.41%, 99.58%, 101.28%, 표준편차는 각각 0.0219, 0.0115, 0.0190 으로 나타났다. 조사야 크기에 따른 실제 측정값은 $6{\time}6$, $10{\time}10$, $15{\time}15cm2$ 각각 계산 값에 비해 99.63%, 101.40%, 101.24%, 표준편차는 0.0138, 0.0176, 0.0220 으로 나타났다. 에너지에 따른 값은 상대적으로 6, 9, 12 MeV 각각 99.72%, 100.60%, 101.96%, 표준편차는 0.0200, 0.0160, 0.0164로 나타났다. 빔 각도에 따른 실제 측정값은 계산된 값에 비하여 0, $15^{\circ}$에서 각각 100.45%, 101.07%, 표준편차는 0.0199, 0.0190 으로써 $15^{\circ}$에서 $0^{\circ}$보다 0.62% 높게 측정되었다. 결 론 : 본 논문에서 사용한 변수에 따른 계산 값과 측정값을 분석한 결과 5 mm bolus, $6{\time}6cm2$ 조사야, 저 에너지 전자선, $0^{\circ}$ 겐트리 각도에서 TPS로 계산한 값이 측정값에 더 가까웠지만 다른 변수를 적용한 비교에서도 최대 2% 오차범위 내에 포함되는 결과를 보였다. 전자선과 bolus를 동시에 사용하는 경우 본 논문에서 선택된 변수의 범위를 벗어난다면 각각의 변수에 따라 실제 측정값이 TPS와 달라질 수 있기 때문에 정확한 표면선량에 대한 QA를 반드시 실시해야 한다.