• 대한토목학회논문집
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• 제10권1호
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• pp.1-7
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• 1990

이 논문은 자유단에 집중하중과 만재 등분포하중이 작용하는 캔틸레버 보의 과대처짐을 해석한 연구이다. 과대처짐을 해석하기 위하여 처짐곡선의 Bernoulli-Euler 미분방정식을 이용하였고, 이 미분방정식을 Runge Kutta method와 Regula Falsi method를 이용하여 수치해석할 수 있는 기법을 개발하였다. 수치해석의 결과로 하중과 자유단의 수평처짐, 수직처짐 및 회전각과의 관계를 무차원화하여 도시하였고 또한 몇 개의 전형적인 과대처짐곡선을 무차원화하여 도시하였다.

• 대한인간공학회지
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• 제16권2호
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• pp.15-27
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• 1997

Brain potential is described using the mesocolumnar activity defined by averaged firings of excitatory and inhibitory neuron of neocortex. Lagrangian is constructed based on SMNI(Statistical Mechanics of Neocortical Interaction) and then Euler Lagrange equation is obtained. Excitatory neuron firing is assumed to be amplitude- modulated dominantly by the sum of two modes of frequency .omega. and 2 .omega. . Time series of this neuron firing is calculated numerically by Euler Lagrangian equation. I .omega. L related to low frequency distribution of power spectrum, I .omega. H hight frequency, and Sd(standard deviation) were introduced for the effective extraction of the dynamic property in the simulated brain potential. The relative behavior of I .omega. L, I .omega. H, and Sd was found by parameters .epsilon. and .gamma. related to nonlinearity and harmonics respectively. Experimental I .omega L, I .omega. H, and Sd were obtained from EEG of human in rest state and of canine in deep sleep state and were compared with theoretical ones.

• Structural Engineering and Mechanics
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• 제67권2호
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• pp.175-183
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• 2018

This research deals with the wave dispersion analysis of functionally graded double-layered nanobeam systems (FG-DNBSs) considering the piezoelectric effect based on nonlocal strain gradient theory. The nanobeam is modeled via Euler-Bernoulli beam theory. Material properties are considered to change gradually along the nanobeams' thickness on the basis of the rule of mixture. By implementing a Hamiltonian approach, the Euler-Lagrange equations of piezoelectric FG-DNBSs are obtained. Furthermore, applying an analytical solution, the dispersion relations of smart FG-DNBSs are derived by solving an eigenvalue problem. The effects of various parameters such as nonlocality, length scale parameter, interlayer stiffness, applied electric voltage, relative motions and gradient index on the wave dispersion characteristics of nanoscale beam have been investigated. Also, validity of reported results is proven in the framework of a diagram showing the convergence of this model's curve with that of a previous published attempt.

• Advances in nano research
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• 제6권4호
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• pp.339-356
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• 2018

In this article, the critical buckling of a single-walled carbon nanotube (SWCNT) embedded in Kerr's medium is studied. Based on the nonlocal continuum theory and the Euler-Bernoulli beam model. The governing equilibrium equations are acquired and solved for CNTs subjected to mechanical loads and embedded in Kerr's medium. Kerr-type model is employed to simulate the interaction of the (SWNT) with a surrounding elastic medium. A first time, a comparison with the available results is made, and another comparison between various models Winkler-type, Pasternak-type and Kerr-type is studied. Effects of nonlocal parameter and aspect ratio of length to diameter of nanobeam, as well as the foundation parameters on buckling of CNT are investigated. These results are important in the mechanical design considerations of nanocomposites based on carbon nanotubes.

• Journal of applied mathematics & informatics
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• 제39권5_6호
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• pp.655-676
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• 2021

A parameter uniform numerical scheme is proposed for solving singularly perturbed parabolic partial differential-difference convection-diffusion equations with a small delay and advance parameters in reaction terms and spatial variable. Taylor's series expansion is applied to approximate problems with the delay and advance terms. The resulting singularly perturbed parabolic convection-diffusion equation is solved by utilizing the implicit Euler method for the temporal discretization and finite difference method for the spatial discretization on a uniform mesh. The proposed numerical scheme is shown to be an ε-uniformly convergent accurate of the first order in time and second-order in space directions. The efficiency of the scheme is proved by some numerical experiments and by comparing the results with other results. It has been found that the proposed numerical scheme gives a more accurate approximate solution than some available numerical methods in the literature.

• Steel and Composite Structures
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• 제44권1호
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• pp.17-31
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• 2022

This investigation studies the characteristics of wave dispersion in sigmoid functionally graded (SFG) curved beams lying on an elastic substrate for the first time. Homogenization process was performed with the help of sigmoid function and two power laws. Moreover, various materials such as Zirconia, Alumina, Monel and Nickel steel were explored as curved beams materials. In addition, curved beams were rested on an elastic substrate which was modelled based on Winkler-Pasternak foundation. The SFG curved beams' governing equations were derived according to Euler-Bernoulli curved beam theory which is known as classic beam theory and Hamilton's principle. The resulted governing equations were solved via an analytical method. In order to validate the utilized method, the obtained outcomes were compared with other researches. Finally, the influences of various parameters, including wave number, opening angle, gradient index, Winkler coefficient and Pasternak coefficient were evaluated and indicated in the form of diagrams.

• Advances in nano research
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• 제15권1호
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• pp.15-23
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• 2023

Dynamics of protein filamentous has been an active area of research since the last few decades as the role of cytoskeletal components, microtubules, intermediate filaments and microfilaments is very important in cell functions. During cell functions, these components undergo the deformations like bending, buckling and vibrations. In the present paper, bending and buckling of microfilaments are studied by using Euler Bernoulli beam theory with nonlocal parametric effects in conjunction. The obtained results show that the nonlocal parametric effects are not ignorable and the applications of nonlocal parameters well agree with the experimental verifications.

• 정보처리학회논문지B
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• 제13B권1호
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• pp.15-20
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• 2006

이 논문은 컴퓨터 게임을 위한 물리 엔진의 성능 향상 및 이를 적용한 지능적인 게임 캐릭터에 관한 연구를 서술한다. 물리적 상황을 자동으로 인식하는 알고리즘으로는 Momentum back-propagation을 적용하였다. 또한 우리는 각 상황에 따른 적분 방식의 실험 결과를 제시한다. 실험을 위하여 Euler Method, Improved Euler Method, 및 Runge-kutta Method의 세 가지의 적분 방식을 적용하였다. 각 적분 방식의 실험 결과에서 충돌이 없는 상황에서는 Euler Method가 최적의 성능을 보여주었다. 또한 충돌 상황에서는 세 가지 방식이 모두 비슷한 성능을 보여주었지만, Runge-kutta Method가 최적의 정확도를 보여주었다. 물리 상황인식에 대한 실험결과에서는 입력 층과 출력 층이 고정된 상태에서 은닉 층이 3일 때 가장 좋은 성능을 보여주었고, 또한 학습횟수가 30000일 때 최적의 성능을 보여주었다. 앞으로 우리는 다른 장르의 게임에 이러한 물리적 컨텍스트(context)를 인식하는 연구를 진행할 것이며 또한 전체 게임의 성능을 증가할 수 있도록 M-BP이외의 인식 알고리즘을 적용할 것이다.

• Steel and Composite Structures
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• 제47권5호
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• pp.587-599
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• 2023

The establishment of a hysteretic model which can accurately predict the hysteretic characteristics of the stud connection is of utmost importance for the seismic assessment of composite structures. In this paper, the Bouc-Wen-Baber-Noori(BWBN) model was adopted to describe the typical hysteretic characteristics of stud connections. Meanwhile, the Newton-Raphson iterative procedure and the Backward Euler method were used to determine the restoring force, and the Genetic Algorithm was employed to identify the parameters of the BWBN model based on the experimental data consisting of eight specimens. The accuracy of the identified parameters was demonstrated by comparison with the experimental data. Finally, prediction equations for the BWBN model parameters were developed in terms of the physical parameters of stud connections, which provides an approach to get the hysteretic response of stud connections conveniently.

• 대한기계학회논문집B
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• 제40권3호
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• pp.181-189
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• 2016

수평 관군에 대하여 수직이고 상향으로 흐르는 2상 유동에 의한 감쇠비를 예측하기 위한 해석모델이 Sim에 의하여 개발되었다. 이 모델에서 평가된 2상 유동의 기공률, 압력손실 등의 유동변수는 기존의 실험식을 사용하여 계산하였다. 그러나 관군의 경우에 사용하기에는 약간의 개선이 요구된다. 따라서 관군 내에 흐르는 2상 유동의 유동 변수에 대한 더 많은 정보를 획득하기 위하여 실험적으로 연구할 필요가 있다. 실험은 공기 - 물의 2상 유동이 흐르는 정사각형 배열 관군에서의 압력계수와 2상 유동 마찰승수를 계산하기 위하여 수행되었다. 피치 직경 비는 1.35이었고, 실린더의 직경은 18 mm이다. 압력센서와 신호처리 장치를 이용하여 관군에서의 압력차를 측정하였다. 2상 유동 마찰승수와 오일러수를 계산하기 위하여 관군에 적용되는 비균질 유동의 기공률은 Feenstra 등의 실험식을 사용하여 계산하였다. 균질과 비균질 2상 유동의 마찰승수와 오일러의 수를 실험적으로 구하고 Sim의 어림적 모델에 근거한 이론적 해석 결과와 비교 분석하였다.