• 대한수학회논문집
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• 제12권2호
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• pp.393-401
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• 1997

Let $A_1,A_2,\cdots,A_m$ and $B_1,B_2,\cdots,B_n$ be two sequences of events on a given probability space. Let $X_m$ and $Y_n$, respectively, be the number of those $A_i$ and $B_j$, which occur we establish new upper and lower bounds on the probability $P(X=r, Y=t)$ which improve upper bounds and classical lower bounds in terms of the bivariate binomial moment $S_{r,t},S_{r+1,t},S_{r,t+1}$ and $S_{r+1,t+1}$.

• 충청수학회지
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• 제35권1호
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• pp.1-12
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• 2022

In this paper we prove an even characteristic analogue of the result of Andrade on lower bounds for moment of quadratic Dirichlet L-functions in odd characteristic. We establish lower bounds for the moments of Dirichlet L-functions of characters defined by Hasse symbols in even characteristic.

• 대한수학회논문집
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• 제18권4호
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• pp.725-736
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• 2003

Let $A_1,{\;}A_2,...,A_n$ be a sequence of events on a given probability space. Let $m_n$ be the number of those $A'_{j}s$ which occur. Upper bounds of P($m_n{\;}\geq{\;}1) are obtained by means of probability of consecutive terms which reduce the number of terms in binomial moments $S_2,n,S_3,n$ and $S_4,n$.

• 국제초고층학회논문집
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• 제2권4호
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• pp.355-365
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• 2013

The paper reports results of recent studies on the effects of column support conditions on the lateral displacements of moment frames at incipient collapse. The article presents a number of exercises in the plastic theory of structures that lead to useful design formulae. It has been shown that Drift Shifting (DS) is caused due to differences in the stiffnesses of adjoining columns, and that changes in drift ratios are more pronounced at first level column joints in both fixed as well as pinned base frames. In well proportioned moment frames, DS in the upper levels could be minimized, even reduced to zero. It has been demonstrated that DS can be eliminated in properly designed fixed and grade beam supported (GBS) moment frames. Several examples, including symbolic P-delta effects, have been provided to demonstrate the validity and the applications of the proposed ideas to the design and drift control of moment frames. The proposed methodology is exact within the bounds of the theoretical assumptions and is well suited for preliminary design and teaching purposes.

• 대한수학회논문집
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• 제14권4호
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• pp.789-795
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• 1999

Let $A_1$,A$_2$…, A\ulcorner and B$_1$,B$_2$…, B\ulcorner be two sequences of events on the same probability space. Let X= X\ulcorner(A) and Y-Y\ulcorner)(B), repectively, by the number of those A\ulcorner and B\ulcorner which oc-cur. We establish bivariate lower bounds on the distribution P(X$\geq$1, Y, $\geq$1)and P(X$\geq$i , $Y\geq$j)by linear combinations of the bino-mial moments S\ulcorner, \ulcorner, 1$\leq$i$\leq$j

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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• pp.1684-1687
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• 1997

A dynamic load simulator which can reproduce on-ground the hinge moment of aircraft control surface is and essential rig for the loaded performance test of aircraft test of aircraft acutation system. The hinge moment varies wide in the aricraft flight enveloped depending on specific flight condition and maneuvering status. To replicate the wide spectrum of this hinge moment variation within some accuracy bounds, a force controller is designed based on the Quantiative Feedback Theory (AFT). Through the analysis on hinge moment dynamics, a design specification for the force controller is suggested. The efficacy of QFT force controller is verivied by simulation, in which combined aricraft dynamics/flight control law and hydraulic actuation system dynamics of aircraft control surface are considered.

• 호남수학학술지
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• 제15권1호
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• pp.129-136
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• 1993

In this paper we present of a class infinite M A (moving-average) sequences of multivariate random vectors. We use the theory of positive dependence to show that in a variety of cases the classes of M A sequences are associated. We then apply the association to establish some probability bounds and moment inequalities for multivariate processes.

• 한국지반공학회지:지반
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• 제2권3호
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• pp.67-78
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• 1986

철근 콘크리트 얕은 기초 구조물의 파괴유형을 지반에 대해서는 지지력(BCM), 여밀 침하량 (CSM), R.C. slab에 대해서는 moment (MFM) 및 사인장 전단파괴(PCM) 등의 유형으로 설정하였다. 그런데, 이 4개의 서로 다른 유형에는 작용되는 하중 기초의 폭 및 깊이가 공통으로 입력되는 설계변수들이므르, 이 공통 설계변수들이 차지는 파괴영역을 고려하여 system reliability를 해석하 는 방법을 제시하였다. 또한 제시된 방법에 의해 대표적인 얕은 기초 구조물에 대한 신뇌도를 해석 한 바, 1. 단-거훈함수에 대한 신뢰지수는 CSM이 가장 낮고, 가장 안정한 상태는 PCM이었으며, BCM 및 MFM의 파괴확률은 유사하고 CSM과 PSM의 중간 정도였다. 2. 유상관 파괴유형에 대해서는, 이계법에 의한 윤독지수의 범익가 일계법에 비해서 러 쫍고 그 하한치가 더 크게 평여된다. 따라서, 구조물에 대한 통체적인 신뇌도는 파괴유형들 사이의 공분산 이 고려된 이계법으로 해석해야 과소허가될 위험이 없음을 알았다.

• 항공우주기술
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• 제10권2호
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• pp.121-127
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• 2011

추력기 기반 자세제어계 제어기 설계에서 인공위성의 관성모멘트는 중요한 설계 요소이다. 설계 과정에서 불확실성을 고려하기는 하지만 큰 규모의 태양전지판과 같은 유연 구조물을 가지는 정지궤도 위성의 경우 추력기의 작동 제어주기와 유연모드의 간섭을 피하기 위해 정확한 관성모멘트의 측정이 요구된다. 천리안 위성의 경우 전이궤도에서 임무궤도로 전환하기 전에 관성모멘트의 측정이 수행되었는데, 본 논문에서는 천리안위성의 관성모멘트 측정 방법을 유추해서 기술하고, 실제 궤도상 시험에서 측정된 관성모멘트 값과 비교하였다. 이를 통해, 자세제어계 상세 설계 단계에서 고려된 불확실성 범위 내에 관성모멘트 값이 유지되었음을 확인하여 설계의 적합성을 검증하였다.

• Structural Engineering and Mechanics
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• 제38권6호
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• pp.697-714
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• 2011

Assessing the ductility of reinforced concrete sections and members has been a complex and intractable problem for many years. Given the complexity in estimating ductility, members are often designed specifically for strength whilst ductility is provided implicitly through the use of ductile steel reinforcing bars and by ensuring that concrete crushing provides the ultimate limit state. As such, the empirical hinge length and neutral axis depth approaches have been sufficient to estimate ductility and moment redistribution within the bounds of the test regimes from which they were derived. However, being empirical, these methods do not have a sound structural mechanics background and consequently have severe limitations when brittle materials are used and when concrete crushing may not occur. Structural mechanics based approaches to estimating rotational capacities and rotation requirements for given amounts of moment redistribution have shown that FRP plated reinforced concrete (RC) sections can have significant moment redistribution capacities. In this paper, the concept of moment redistribution in beams is explained and it is shown specifically how an existing RC member can be retrofitted with FRP plates for both strength and ductility requirements. Furthermore, it is also shown how ductility through moment redistribution can be used to maximise the increase in strength of a member. The concept of primary and secondary hinges is also introduced and it is shown how the response of the non-hinge region influences the redistribution capacity of the primary hinges, and that for maximum moment redistribution to occur the non-hinge region needs to remain elastic.