• Earthquakes and Structures
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• 제12권1호
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• pp.47-54
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• 2017

Introduction of robustness index in the structure is done in three ways: deterministic robustness index, probabilistic robustness index, and risk-based robustness index. In past decades, there have been numerous researches to evaluate robustness index in both deterministic and probabilistic ways. In this research, by using a risk analysis, a risk-based robustness index has been defined for the structure. By creating scenarios in accordance with uncertainty parameters of critical and unexpected gas blast accident, a new method has been suggested for evaluating risk-based robustness index. Finally, a numerical example for the evaluation of risk-based robustness index of a four-storey reinforced concrete moment frame, designed and built based on Eurocode 8 code, has been presented with results showing a lower risk of robustness.

• 국제강구조저널
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• 제18권5호
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• pp.1710-1722
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• 2018

Investigating remained damages from terrible earthquakes, it could be concluded that some events including explosion because of defect and failure in the building mechanical facilities or caused by gas leak, firing, aftershocks, etc., which are occurred during or a few time after the earthquake, will increase the effects of damages. In this paper, by introducing a complete risk analysis which included direct and indirect risks for earthquake (the main shock) and aftershock, the corresponding robustness index was created that called as "robustness index sequential critical events risk-based". One of the main properties of the intended robustness index is using progressive collapse percentage in its evaluation. Then, in a numerical example for a 4-storey moment resisting steel frame structure, a method is presented for obtaining all effective parameters in robustness index evaluation based on the intended risk and at last its results were reported.

• 대한기계학회논문집A
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• 제27권8호
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• pp.1426-1435
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• 2003

Design goal is to find the one that has the highest probability of success and the smallest variation. A robustness index has been proposed to satisfy these conditions. The two-step optimization process of the target problem requires a scaling factor. The search process of a scaling factor is replaced with the making of the decoupled design between the mean and the standard deviation. The decoupled design matrix is formed from the sensitivity or the sum of squares. After establishing the design matrix, the robust design process has a new three-step one. The first is ″reduce variability,″ the second is ″make the candidate designs that satisfy constraints and move the mean on the target,″ and the final is ″select the best robust design using the proposed robustness index.″ The robust design process is verified by three examples and the results using the robustness index are compared with those of other indices.

• Ecology and Resilient Infrastructure
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• 제3권2호
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• pp.117-125
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• 2016

도시 내 인구집중과 기후변화로 인해 다양한 형태의 도시 물 문제가 발생한다. 이에 대한 피해 예방과 사회적 손실 최소화를 위해 회복탄력적인 대안 수립이 필요하다. 본 연구는 도시 물 문제 저감을 위한 회복탄력적 사회기반시설 구축 전략 수립에 관한 기초연구로서, 대표적인 도시 물 문제 중 하나인 도시홍수를 사례로 하여 구조적 대안의 내구성을 평가하였다. 내구성 평가를 위한 지표로 내구성 지수 (robustness index, RI) 및 비용지수 (cost index, CI)를 결합한 내구성-비용지수 (robustness cost index, RCI)를 제안하고, 이를 강남역 상습침수구역에 적용하여 기존 기반시설과 구조적 대안 (하수관거 확충, 저류조 설치, 옥상녹화)을 평가하였다. 그 결과, 2~20년 빈도의 강우강도범위에서 저류조와 옥상녹화설치가 상대적으로 높은 RCI 값을 나타내었고 두 대안 중 RCI가 보다 높은 대안은 강우강도에 따라 달라지는 경향을 보였다. 30년 빈도 강우강도에 대하여는 저류조와 옥상녹화를 병용 설치하는 대안이 가장 높은 RCI 값을 나타내어 가장 회복탄력적인 대안으로 확인되었다. 최종적으로 재해의 계획규모에 따른 현행 사회기반시설의 내구성 평가 및 최적의 구조적 대안 선택 절차를 수립하여, 도시홍수 문제에 대한 회복탄력적 사회기반시설 구축 전략을 제시하였다.

• 대한기계학회논문집A
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• 제37권5호
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• pp.589-599
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• 2013

강건최적설계의 개념은 다구찌 법에 근간을 두고 있다. 특히, 목적함수의 강건성 지수들은 설계변수나 파라미터의 변동에 둔감하고 보수적인 설계를 추구한다. 그 목적을 달성하기 위해 다양한 강건성 지수들이 소개되고 있다. 소개된 다양한 지수와 방법은 나름의 목적과 의미를 지니고 있다. 하지만, 다구찌 법에서 의미하는 강건설계의 의미를 목적함수의 강건성 지수로 반영하여 최적설계 문제로 확장하는 것에는 한계점이 발생할 수 있다. 본 논문의 목적은 기존 강건성 지수 연구들의 특징과 한계점을 파악하고 강건최적설계 연구의 고찰을 수행하는데 있다. 목적함수의 강건성 지수들의 특징을 확인하기 위해 결정론적 최적해와 강건해의 구분이 명확한 수학적 예제를 사용하여 평가를 수행하고 분석하였다. 더불어, 고찰을 토대로 강건최적설계에서의 강건성에 대한 새로운 관점과 상한함수를 사용한 목적함수의 강건성 지수를 제시하였다.

• 한국조명전기설비학회:학술대회논문집
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• 한국조명전기설비학회 2004년도 춘계학술대회 논문집
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• pp.90-94
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• 2004

Among various modern control theories, PID control has been well used for several decades. PID algorithms needs son tuning methods are used for selecting PID parameters. But in some cases various kinds of performance indices are used instead of well-known tuning rules, and so variable type of performance index must be tested so that controllers, output characteristics and disturbance rejection property meets some specifications. In this paper, linear conbinational type of performance using error signal, time, control input and robustness is used to the PID control of air conditioning system. By the 2 DOF PID parmeters minimizing perfromacne index, controllers, output characteristics and robustness properties are analyzed. Simulations are done with MATLAB m file and mdl files.

• 대한기계학회논문집A
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• 제26권10호
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• pp.2073-2081
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• 2002

In product design and manufacturing, axiomatic design provides a systematic approach for the decision-making process. Two axioms have been defined such as the Independence Axiom and the Information Axiom. The Information Axiom states that the best design among those that satisfy the independence axiom is the one with the least information content. In other words, the best design is the one that has the highest probability of success. On the other hand, the Taguchi robust design is used in the two-step process; one is "reduce variability," and the other is "adjust the mean on the target." The two-step can be interpreted as a problem that has two FRs (functional requirements). Therefore, the Taguchi method should be used based on the satisfaction of the Independence Axiom. Common aspects exist between the Taguchi method and Axiomatic Design in that a robust design is induced. However, different characteristics are found as well. The Taguchi method does not have the design range, and the probability of success may not be enough to express robustness. Our purpose is to find the one that has the highest probability of success and the smallest variation. A new index is proposed to satisfy these conditions. The index is defined by multiplication of the robustness weight function and the probability density function. The robustness weight function has the maximum at the target value and zero at the boundary of the design range. The validity of the index is proved through various examples.gh various examples.

• Structural Engineering and Mechanics
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• 제52권1호
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• pp.19-33
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• 2014

Structural robustness refers to the ability of a structure to avoid disproportionate consequences to the original cause. Currently attentions focus on the concepts of structural robustness, and discussions on methods of robustness based structural design are rare. Firstly, taking basis in robust $H_{\infty}$ control theory, structural robustness is assessed by $H_{\infty}$ norm of the system transfer function. Then using the SIMP material model, robustness based design of grid structures is formulated as a continuum topology optimization problem, where the relative density of each element and structural robustness are considered as the design variable and the optimization objective respectively. Generalized elitist genetic algorithm is used to solve the optimization problem. As examples, robustness configurations of plane stress model and the rectangular hyperbolic shell model were obtained by robustness based structural design. Finally, two models of single-layer grid structures were designed by conventional and robustness based method respectively. Different interference scenarios were simulated by static and impact experiments, and robustness of the models were analyzed and compared. The results show that the $H_{\infty}$ structural robustness index can indicate whether the structural response is proportional to the original cause. Robustness based structural design improves structural robustness effectively, and it can provide a conceptual design in the initial stage of structural design.

• 조명전기설비학회논문지
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• 제19권1호
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• pp.52-58
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• 2005

제어이론들 중에 PID제어는 지난 수십년간 잘 활용되고 있다. PID 알고리즘은 PID 파라미터를 선택하기 위해서 사용되는 튜닝법이 필요하다. 그러나 어떤 경우에는 잘 알려진 튜닝법 대신에 제어기, 출력특성 및 외란제거 성능 등이 어떤 사양을 만족하도록 다양한 종류의 평가지표들을 사용하기도 하기도 한다. 본 논문에서는 오차신호, 시간, 제어입력 및 견실성을 사용한 성능지표의 선형조합을 사용하여 공조시스템의 PID제어를 한다. 성능지표를 최소화하는 2 자유도 PID파라미터를 사용하여 제어기, 출력특성 및 견실성을 분석한다. Simulink를 포함한 MATLAB을 이용하여 시뮬레이션을 한다.

• 대한기계학회논문집A
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• 제27권7호
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• pp.1234-1242
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• 2003

In this paper we present a simple and efficient robust optimal design formulation for MEMS structures and its application to a resonant-type micro probe. The basic idea is to use the gradient index (GI) to improve robustness of the objective and constraint functions. In the robust optimal design procedure, a deterministic optimization for performance of MEMS structures is followed by design sensitivity analysis with respect to uncertainties such as fabrication errors and change of operating conditions. During the process of deterministic optimization and sensitivity analysis, dominant performance and uncertain variables are identified to define GI. The GI is incorporated as a term of objective and constraint functions in the robust optimal design formulation to make both performance and robustness improved. While most previous approaches for robust optimal design require statistical information on design variations, the proposed GI based method needs no such information and therefore is cost-effective and easily applicable to early design stages. For the micro probe example, robust optimums are obtained to satisfy the targets for the measurement sensitivity and they are compared in terms of robustness and production yield with the deterministic optimums through the Monte Carlo simulation. This method, although shown for MEMS structures, may as well be easily applied to conventional mechanical structures where information on uncertainties is lacking but robustness is highly important.