• Structural Engineering and Mechanics
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• 제17권5호
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• pp.707-725
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• 2004

An optimal design method with nonlinear elastic analysis is presented. The proposed nonlinear elastic method overcomes the drawback of the conventional LRFD method that accounts for nonlinear effect by using the moment amplification factors of $B_1$ and $B_2$. The genetic algorithm used is a procedure based on Darwinian notions of survival of the fittest, where selection, crossover, and mutation operators are employed to look for high performance ones among sections in the database. They are satisfied with the constraint functions and give the lightest weight to the structure. The objective function taken is the total weight of the steel structure and the constraint functions are strength, serviceability, and ductility requirement. Case studies of a planar portal frame, a space two-story frame, and a three-dimensional steel arch bridge are presented.

• 호남수학학술지
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• 제36권4호
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• pp.831-852
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• 2014

The obstacle shape reconstruction problem has been known to be difficult to solve since it is highly nonlinear and severely ill-posed. The use of local or locally supported basis functions for the problem has been addressed for many years. However, to the authors' knowledge, any research report on the proper usage of local or locally supported basis functions for the shape reconstruction has not been appeared in the literature due to many difficulties. The aim of this paper is to introduce the general concepts and methodologies for the proper choice and their implementation of locally supported basis functions through the two-dimensional Helmholtz equation. The implementations are based on the complex nonlinear parameter estimation (CNPE) formula and its robust algorithm developed recently by the authors. The basic concepts and ideas are simple. The derivation of the necessary properties needed for the shape reconstructions are elementary. However, the capturing abilities for the local geometry of the obstacle are superior to those by conventional methods, the trial and errors, due to the proper implementation and the CNPE algorithm. Several numerical experiments are performed to show the power of the proposed method. The fundamental ideas and methodologies described in this paper can be applied to many other shape reconstruction problems.

• 대한기계학회논문집
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• 제16권2호
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• pp.236-247
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• 1992

Optimization has been developed to minimize the cost function while satisfying constraints. Nonlinear Programming method is used as a tool for the optimization. Usually, cost and constraint function calculations are required in the engineering applications, but those calculations are extremely expensive. Especially, the function and sensitivity analyses cause a bottleneck in structural optimization which utilizes the Finite Element Method. Also, when the functions are quite noisy, the informations do not carry out proper role in the optimization process. An algorithm called "Second-order Approximation Method" has been proposed to overcome the difficulties recently. The cost and constraint functions are approximated by the second-order Taylor series expansion on a nominal points in the algorithm. An optimal design problem is defined with the approximated functions and the approximated problem is solved by a nonlinear programming numerical algorithm. The solution is included in a candidate point set which is evaluated for a new nominal point. Since the functions are approximated only by the function values, sensitivity informations are not needed. One-dimensional line search is unnecessary due to the fact that the nonlinear algorithm handles the approximated functions. In this research, the method is analyzed and the performance is evaluated. Several mathematical problems are created and some standard engineering problems are selected for the evaluation. Through numerical results, applicabilities of the algorithm to large scale and complex problems are presented.presented.

• 정보처리학회논문지:소프트웨어 및 데이터공학
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• 제11권1호
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• pp.1-10
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• 2022

완전연결신경망은 다양한 문제를 해결하는데 널리 사용되고 있다. 완전연결신경망에서 비선형활성함수는 선형변환 값을 비선형 변환하여 출력하는 함수로써 비선형 문제를 해결하는데 중요한 역할을 하며 다양한 비선형활성함수들이 연구되었다. 본 연구에서는 완전연결신경망의 성능을 향상시킬 수 있는 결합된 파라메트릭 활성함수를 제안한다. 결합된 파라메트릭 활성함수는 간단히 파라메트릭 활성함수들을 더함으로써 만들어낼 수 있다. 파라메트릭 활성함수는 입력데이터에 따라 활성함수의 크기와 위치를 변환시키는 파라미터를 도입하여 손실함수를 최소화하는 방향으로 최적화할 수 있는 함수이다. 파라메트릭 활성함수들을 결합함으로써 더욱 다양한 비선형간격을 만들어낼 수 있으며 손실함수를 최소화하는 방향으로 파라메트릭 활성함수들의 파라미터를 최적화할 수 있다. MNIST 분류문제와 Fashion MNIST 분류문제를 통하여 결합된 파라메트릭 활성함수의 성능을 실험하였고 그 결과 기존에 사용되는 비선형활성함수, 파라메트릭 활성함수보다 우수한 성능을 가짐을 확인하였다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1997년도 추계학술대회 논문집 학회본부
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• pp.142-145
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• 1997

This paper presents an modified orthogonal neural network(MONN) based on orthogonal functions and applies the network to nonlinear system control. The accuracy of orthogonal neural network is essentially dependent on the choice of basic orthogonal functions. Modified orthogonal neural network is modified model of orthogonal neural network with input transformation to adapt its basic orthogonal functions. The results show that the modified orthogonal neural network has the excellent performance of approximating and controlling nonlinear systems and the input transformation make the ability of modified orthogoneural neural network better than one of orthogonal neural network.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2001년도 하계학술대회 논문집 D
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• pp.2292-2295
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• 2001

In this paper, The control problem for a series DC motor is considered to adaptive fuzzy sliding-mode control scheme. Based on a nonlinear mathematical model of a series connected DC motor, instead of the combination of a nonlinear transformation and state feedback(feedback linearization) reduces the nonlinear control design. To demonstrate its effectiveness, an experimental study of this controller is presented. Two sets of fuzzy rule bases are utilized to represent the equivalent control input with unknown system functions of the main target. The membership functions of the THEN-part, which is used to construct a suitable equivalent control of SMC, are changed according to the adaptive law. With such a design scheme, we not only maintain the distribution of membership functions over state space but also reduce computing time considerably.

• Journal of applied mathematics & informatics
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• 제42권2호
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• pp.391-398
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• 2024

This article explains how solitons propagate when there is a detuning factor involved. The explanation is based on the nonlinear complex Ginzburg-Landau equation, and we first consider this equation before systematically deriving its solutions using Jacobian elliptic functions. We illustrate that one specific ellipticity modulus is on the verge of occurring. The findings from this study can contribute to the understanding of previous research on the Ginzburg-Landau equation. Additionally, we utilize Jacobi's elliptic functions to define specific solutions, especially when the ellipticity modulus approaches either unity or zero. These solutions correspond to particular periodic wave solitons, which have been previously discussed in the literature.

• 한국지능정보시스템학회:학술대회논문집
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• 한국지능정보시스템학회 2007년도 추계학술대회
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• pp.592-601
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• 2007

In the conventional double auction approaches, two basic assumptions are usually applied - (1) each trader has a linear or quasi-linear utility function of price and quantity, (2) buyers as well as sellers have identical utility functions. However, in practice, these assumptions are unrealisitc. Therefore, a flexible and integrated double auction mechanism that can integrate all traders' diverse utility functions is necessary. We propose a double auction mechanism with resource allocation based on nonlinear utility functions, namely a flexible synchronous double auction system where each participant can express a diverse utility function on the price and quantity. In order to optimize the total market utility consists of multiple complex utility functions of traders, our study proposes a genetic algorithm (GA) We show the viability of the proposed mechanism through several simulation experiments.

• 한국정보통신학회논문지
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• 제14권4호
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• pp.859-867
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• 2010

본 논문에서는 일반적인 비트기반의 비선형 결합함수를 고속화하기 위하여 워드기반 스트림 암호에서 적용될 워드기반 비선형 결합함수 구조를 제안하였다. 특히, 워드기반 병렬구조를 갖는 PS-WFSR을 제안하였고, 이를 활용하여 비트 기반 비선형 결합함수를 고속화시킨 4가지 형태의 워드기반 병렬형 비선형 결합함수를 다음과 같이 제안하였다. m-병렬 워드기반 비메모리 비선형 결합함수, m-병렬 워드기반 메모리 비선형 결합함수, m-병렬 워드기반 비선형 필터함수, m-병렬 워드기반 클럭조절형 함수를 제안하였고, 마지막으로 m-병렬 워드기반 DRAGON의 병렬 구조를 통하여 그 성능을 분석하였다.

• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2009년도 추계학술대회
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• pp.383-386
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• 2009

본 논문에서는 일반적인 비트기반의 비선형 결합함수를 고속화하기 위하여 워드기반 스트림 암호에서 적용될 워드기반 비선형 결함함수 구조를 제안하였다. 특히, 워드기반 병렬구조를 갖는 PS-WFSR을 제안하였고, 이를 활용하여 비트 기반 비선형 결합함수를 고속화시킨 워드기반 병렬형 비선형 결합함수를 다음과 같이 제안하였다. m-병렬 워드기반 비메모리 비선형 결합함수, m-병렬 워드기반 메모리 비선형 결합함수, m-병렬 워드기반 비선형 필터함수를 신규 제안하였고, 그 성능을 분석하였다.