• Nonlinear Functional Analysis and Applications
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• 제29권3호
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• pp.913-927
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• 2024

In this paper, we represent regular functions on ternary theory in the view of quaternion. By expressing quaternions using ternary number theory, a new form of regular function, called E-regular, is defined. From the defined regular function, we investigate the properties of the appropriate hyper-conjugate harmonic functions and corresponding Cauchy-Riemann equations by pseudo-complex forms.

• Journal of Power Electronics
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• 제14권2호
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• pp.351-361
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• 2014

The discrete torque generation mechanism and inherently nonlinear magnetic characterization of switched reluctance motors lead to unacceptable torque ripples and limit the application of these motors. In this study, a phase current profiling technique and torque sharing function are proposed in consideration of magnetic saturation effects and by minimizing power loss in the commutation area between the adjacent phases. Constant torque trajectories are considered in incoming and outgoing phase current planes based on nonlinear T-i-theta curves obtained from experimental measurements. Optimum points on constant torque trajectories are selected by improving drive efficiency and minimizing copper loss in each rotor position. A novel analytic invertible function is introduced to express phase torque based on rotor position and its corresponding phase current. The optimization problem is solved by the proposed torque function, and optimum torque sharing functions are derived. A modification method is also introduced to enhance the torque ripple-free region based on simple logic rules. Compared with conventional torque sharing functions, the resultant reference current from the proposed method has less peak and effective values and exhibits lower copper loss. Experimental and simulation results from a four-phase 4 KW 8/6 SRM validate the effectiveness of the proposed method.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2000년도 춘계학술대회 학술발표 논문집
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• pp.249-255
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• 2000

HRIV(Hybrid Rule-Interval Variation) method is presented to stabilize a class of nonlinear systems, where SMC(Sliding Mode Control) and ADC (ADaptive Control) schemes are incorporated to overcome the unstable characteristics of a conventional FLC(Fuzzy Logic Control). HRIV method consists of two modes: I-mode (Integral Sliding Mode PLC) and R-mode(RIV method). In I-mode, SMC is used to compensate for MAE(Minimum Approximation Error) caused by the heuristic characteristics of FLC. In R-mode, RIV method reduces interval lengths of rules as states converge to an equilibrium point, which makes the defined Lyapunov function candidate negative semi-definite without considering MAE, and the new uncertain parameters generated in R-mode are compensated by SMC. In RIV method, the overcontraction problem that the states are out of a rule-table can happen by the excessive reduction of rule intervals, which is solved with a dynamic modification of rule-intervals and a transition to I-mode. Especially, HRIV method has advantages to use the analytic upper bound of MAE and to reduce Its effect in the control input, compared with the previous researches. Finally, the proposed method is applied to stabilize a simple nonlinear system and a modified inverted pendulum system in simulation experiments.

• Structural Engineering and Mechanics
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• 제69권3호
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• pp.243-255
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• 2019

Utilization of fiber beam-column element has gained considerable attention in recent years due mainly to its ability to model distributed plasticity over the length of the element through a number of integration points. However, the relatively high sensitivity of the method to modeling parameters as well as material behavior models can pose a significant challenge. Residual drift is one of the seismic demands which is highly sensitive to modeling parameters and material behavior models. Permanent deformations play a prominent role in the post-earthquake evaluation of serviceability of bridges affected by a near-fault ground shaking. In this research, the influence of distributed plasticity modeling parameters using both force-based and displacement-based fiber elements in the prediction of internal forces obtained from the nonlinear static analysis is studied. Having chosen suitable type and size of elements and number of integration points, the authors take the next step by investigating the influence of material behavioral model employed for the prediction of permanent deformations in the nonlinear dynamic analysis. The result shows that the choice of element type and size, number of integration points, modification of cyclic concrete behavior model and reloading strain of concrete significantly influence the fidelity of fiber element method for the prediction of permanent deformations.

• 한국강구조학회 논문집
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• 제22권3호
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• pp.229-239
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• 2010

새롭게 제안된 다이아그리드 구조 시스템은 경사진 기둥을 통해 구조물의 중력하중과 횡력을 모두 저항하는 시스템이다. 하지만 현재 내진설계 기준은 새로운 구조시스템에 대한 적절한 반응수정계수가 없다. 이에 새로운 시스템의 반응수정계수를 포함한 내진설계시 고려되는 내진성능계수들을 산정하기 위해 ATC-63(안)이 새롭게 제안되었다. ATC-63(안)에서는 구조 시스템의 여러 변수에 의해 다른 값을 가지게 되는 반응수정계수를 보완하기 위해 붕괴여유비를 함께 고려하여 건물의 내진성능을 판단한다. 본 논문에서는 4층에서 36층의 서로 다른 높이의 대각가 새 구조물을 설계하여 ATC-63(안)의 방법론에 따라 비선형정적해석과 동적해석을 통해 대각가새 구조의 내진성능계수를 평가하였다.

• Earthquakes and Structures
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• 제6권4호
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• pp.409-436
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• 2014

Although it is widely accepted that the interaction -between masonry infill and structural members significantly affects the seismic response of reinforced concrete (RC) frames, this interaction is generally neglected in current design-oriented seismic analyses of structures. Moreover, the role of masonry infill is expected to be even more relevant in the case of existing frames designed only for gravitational loads, as infill walls can significantly modify both lateral strength and stiffness. However, the additional contribution to both strength and stiffness is often coupled to a modification of the global collapse mechanisms possibly resulting in brittle failure modes, generally related to irregular distributions of masonry walls throughout the frame. As a matter of principle, accurate modelling of masonry infill should be at least carried out by adopting nonlinear 2D elements. However, several practice-oriented proposals are currently available for modelling masonry infill through equivalent (nonlinear) strut elements. The present paper firstly outlines some of the well-established models currently available in the scientific literature for modelling infill panels in seismic analyses of RC frames. Then, a parametric analysis is carried out in order to demonstrate the consequences of considering such models in nonlinear static and dynamic analyses of existing RC structures. Two bay-frames with two-, three- and four-storeys are considered for performing nonlinear analyses aimed at investigating some critical aspects of modelling masonry infill and their effects on the structural response. Particularly, sensitivity analyses about specific parameters involved in the definition of the equivalent strut models, such as the constitutive force-displacement law of the panel, are proposed.

• 한국지진공학회논문집
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• 제16권4호
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• pp.1-8
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• 2012

국내 철골모멘트골조를 이전 KBC2005 및 현 KBC2009 기준에 따라 설계한 후 비선형동적해석을 이용하여 FEMA355F의 내진성능평가 절차에 따라 성능을 평가하였다. 그 결과 비선형정적 Push-over 해석을 이용한 역량스펙트럼법과 차이가 있었다. 특히 국내 철골모멘트골조는 약패널존을 가지기 때문에 비선형동적해석을 통해서만 보다 정확한 거동을 예측할 수 있었다. 국내 철골모멘트골조는 지반 조건 SB 또는 SC에 위치한다면 층수 및 R값에 관계없이 성능목표를 만족하는 것으로 나타났다. 하지만 지반 조건 SD 또는 SE에 위치한다면 성능목표 만족 여부는 명확하지 않았다. 따라서 KBC2005나 KBC2009 어떤 기준을 사용하더라도 지반 조건이 상대적으로 좋다면 국내 철골모멘트골조는 내진성능을 충분히 확보하고 있다고 볼 수 있다.

• 한국지진공학회논문집
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• 제18권1호
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• pp.37-43
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• 2014

In current seismic design code, steel moment frames are classified into ordinary, intermediate, and special moment frames. In the case of special moment frames which have large R-factor, economic design is possible by reducing the design lateral force. However, there is difficulty for practical application due to constraints such as strong column-weak beam requirement. This study evaluated if steel intermediate moment frame could maintain enough seismic capacity when the R-factor is increased from 4.5 to 6. As for the analytical models, steel moment frames of 3 and 5 stories were categorized into four performance groups according to seismic design category. Seismic performances of the frames were evaluated through the procedure based on FEMA P695. FEMA P695 utilizes nonlinear static analysis(pushover analysis) and nonlinear dynamic analysis(incremental dynamic analysis, IDA). In order to reflect the characteristics of Korean steel moment frames on the analytical model, the beam-column connection was modeled as weak panel zone where the collapse of panel zone was indirectly considered by checking its ultimate rotational angle after an analysis is done. The analysis result showed that the performance criteria required by FEMA P695 was satisfied when R-factor increased in all the soil conditions except $S_E$.

• 한국지능시스템학회논문지
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• 제14권7호
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• pp.847-851
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• 2004

Bishop과 Nabnck에 의해 소개된 기존치 혼합 밀도 네트워크(Mixture Density Network)에서는 조건부 확률밀도 함수의 매개변수들(parameters)이 하나의 MLP(multi-layer perceptron)의 출력 벡터로 주어진다. 최근에는 변형된 혼합 밀도 네트워크(Modified Mixture Density Network)라고 하는 이름으로 조건부 확률밀도 함수의 선분포(priors), 조건부 평균(conditional means), 그리고 공분산(covariances) 등이 각각 독립적인 MLP의 출력벡터로 주어지는 경우를 다룬 연구가 보고된 바 있다. 본 논문에서는 조건부 평균이 입력에 관해 선형인 경우를 위한 버전에 대한 이론과 매트랩 프로그램 개발을 다룬다. 본 논문에서는 우선 일반적인 혼합 밀도 네트워크에 대해 간단히 설명하고, 혼합 밀도 네트워크의 출력인 다층 퍼셉트론의 매개변수를 각각 다른 다층 퍼셉트론에서 학습시키는 변형된 혼합 밀도 네트워크를 설명한 후, 각각 다른 다층 퍼셉트론을 통해 매개변수를 얻는 것은 동일하나 평균값은 선형함수를 통해 얻는 혼합 밀도 네트워크 버전을 소개한다. 그리고, 모의실험을 통하여 이러한 혼합 밀도 네트워크의 적용가능성에 대해 알아본다.

• 한국지진공학회논문집
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• 제10권3호
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• pp.57-64
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• 2006

현행 약진지역의 내진설계기준은 주로 강진지역에서의 연구결과에 근거하고 있다. 하지만, 약진지역의 경우 지진하중보다는 중력하중이나 풍하중에 의해 구조설계가 지배되므로 구조물의 초과강도가 강진지역의 경우보다 증가하게 된다. 따라서 약진지역에 적합한 내진설계기준을 마련하기 위해서는 강진지역에 적용되는 반응수정계수를 약진지역에 그대로 적용할 수 있는지에 대한 검증이 필요하다. 본 연구에서는 건축구조물에 대한 소성해석을 통해 그 연성도와 초과강도를 산정하고 이에 근거하여 현행 반응수정계수의 적절성 여부를 검토하였다. 강진, 중진, 약진지역 등에서의 초과강도와 연성요구도를 비교하기 위하여 UBC-97에 근거하여 설계된 예제구조물을 선정하여 해석을 수행하였다. 해석결과에 의하면 약진지역의 초과강도가 강진지역보다 크기 때문에 동일한 반응수정계수에 대한 약진지역의 연성요구도는 강진지역에서보다 적게 된다. 따라서 동일한 반응수정계수를 이용하여 설계된 약진지역 구조물의 경우 접합부에서의 소성회전각 요구량을 강진지역의 경우에 비하여 상대적으로 저감시킬 수 있을 것이다.