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MODIFIED LAGRANGE FUNCTIONAL FOR SOLVING ELASTIC PROBLEM WITH A CRACK IN CONTINUUM MECHANICS

  • Namm, Robert V.;Tsoy, Georgiy I.;Woo, Gyungsoo
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1353-1364
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    • 2019
  • Modified Lagrange functional for solving an elastic problem with a crack is considered. Two formulations of a crack problem are investigated. The first formulation concerns a problem where a crack extending to the outer boundary of the domain. In the second formulation, we consider a problem with an internal crack. Duality ratio is established for initial and dual problem in both cases.

A Method to Manage Requirements Analyzing the Commonality and Variability in Product Line (프로덕트 라인에서 공통성과 가변성 분석을 통한 요구사항 관리방법)

  • Park, Dong-Su;Kim, Dong-Kyu;Chong, Ki-Won
    • The KIPS Transactions:PartD
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    • v.13D no.7 s.110
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    • pp.909-922
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    • 2006
  • The core assets include all properties which consist of an application in Product Line Engineering. The requirement, one of the core assets, is a basis of other core assets and commonality and variability of other core assets are classified by the requirement. accordingly, commonality and variability of the domain requirement should be managed objectively and it is necessary to make a process to reuse the domain requirements. However the requirement is analyzed by domain experts or developers without proper process. In this paper, we proposed the 4 activities: (1)the domain scoping, (2)the extraction and generalization of the domain requirement, (3)the domain requirement analyzing and modeling, (4)the change management, and sub activities. For all reasons given previously, it is possible to reduce the development time and cost by reusing the architectures and components related to the domain requirement. In addition, it is possible to increase the quality of the artifacts produced based on the requirements by managing them systematically.

Strain monitoring of reinforced concrete with OTDR-based FBG interrogation technique

  • Dyshlyuk, Anton V.;Makarova, Natalia V.;Vitrik, Oleg B.;Kulchin, Yuri N.;Babin, Sergey A.
    • Smart Structures and Systems
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    • v.20 no.3
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    • pp.343-350
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    • 2017
  • An experimental study is presented of the application of fiber Bragg grating (FBG) interrogation method based on optical time-domain reflectometery (OTDR) to monitoring strain in bent reinforced concrete beams. The results obtained with the OTDR-based method are shown to agree well with the direct spectral measurements. Strain sensitivity, resolution and measurement range amounted to $0.0028dB/{\mu}strain$; $30{\mu}strain$; $4000{\mu}strain$, correspondingly. Significant differences are observed in surface and inner deformations of the test beams which can be attributed to different mechanical properties of concrete and steel reinforcement. The prospects of using OTDR-based FBG interrogation technique in real-life applications are discussed.

BIFURCATION PROBLEM FOR A CLASS OF QUASILINEAR FRACTIONAL SCHRÖDINGER EQUATIONS

  • Abid, Imed
    • Journal of the Korean Mathematical Society
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    • v.57 no.6
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    • pp.1347-1372
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    • 2020
  • We study bifurcation for the following fractional Schrödinger equation $$\{\left.\begin{eqnarray}(-{\Delta})^su+V(x)u&=&{\lambda}f(u)&&{\text{in}}\;{\Omega}\\u&>&0&&{\text{in}}\;{\Omega}\\u&=&0&&{\hspace{32}}{\text{in}}\;{\mathbb{R}}^n{\backslash}{\Omega}\end{eqnarray}\right$$ where 0 < s < 1, n > 2s, Ω is a bounded smooth domain of ℝn, (-∆)s is the fractional Laplacian of order s, V is the potential energy satisfying suitable assumptions and λ is a positive real parameter. The nonlinear term f is a positive nondecreasing convex function, asymptotically linear that is $\lim_{t{\rightarrow}+{\infty}}\;{\frac{f(t)}{t}}=a{\in}(0,+{\infty})$. We discuss the existence, uniqueness and stability of a positive solution and we also prove the existence of critical value and the uniqueness of extremal solutions. We take into account the types of Bifurcation problem for a class of quasilinear fractional Schrödinger equations, we also establish the asymptotic behavior of the solution around the bifurcation point.

Radial Basis Function Neural Network for Power System Transient Energy Margin Estimation

  • Karami, Ali
    • Journal of Electrical Engineering and Technology
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    • v.3 no.4
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    • pp.468-475
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    • 2008
  • This paper presents a method for estimating the transient stability status of the power system using radial basis function(RBF) neural network with a fast hybrid training approach. A normalized transient energy margin(${\Delta}V_n$) has been obtained by the potential energy boundary surface(PEBS) method along with a time-domain simulation technique, and is used as an output of the RBF neural network. The RBF neural network is then trained to map the operating conditions of the power system to the ${\Delta}V_n$, which provides a measure of the transient stability of the power system. The proposed approach has been successfully applied to the 10-machine 39-bus New England test system, and the results are given.

ON THE DISSIPATIVE HELMHOLTZ EQUATION IN A CRACKED DOMAIN WITH THE DIRICHLET-NEUMANN BOUNDARY CONDITION

  • Krutitskii, P.A.;Kolybasova, V.V.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.9 no.1
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    • pp.63-77
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    • 2005
  • The Dirichlet-Neumann problem for the dissipative Helmholtz equation in a connected plane region bounded by closed curves and containing cuts is studied. The Neumann condition is given on the closed curves, while the Dirichlet condition is specified on the cuts. The existence of a classical solution is proved by potential theory. The integral representation of the unique classical solution is obtained. The problem is reduced to the Fredholm equation of the second kind and index zero, which is uniquely solvable. Our results hold for both interior and exterior domains.

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Systematic Design of High-Resolution High-Frequency Cascade Continuous-Time Sigma-Delta Modulators

  • Tortosa, Ramon;Castro-Lopez, Rafael;De La Rosa, J.M.;Roca, Elisenda;Rodriguez-Vazquez, Angel;Fernandez, F.V.
    • ETRI Journal
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    • v.30 no.4
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    • pp.535-545
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    • 2008
  • This paper introduces a systematic top-down and bottom-up design methodology to assist the designer in the implementation of continuous-time (CT) cascade sigma-delta (${\Sigma}{\Delta}$) modulators. The salient features of this methodology are (a) flexible behavioral modeling for optimum accuracy-efficiency trade-offs at different stages of the top-down synthesis process, (b) direct synthesis in the continuous-time domain for minimum circuit complexity and sensitivity, (c) mixed knowledge-based and optimization-based architectural exploration and specification transmission for enhanced circuit performance, and (d) use of Pareto-optimal fronts of building blocks to reduce re-design iterations. The applicability of this methodology will be illustrated via the design of a 12-bit 20 MHz CT ${\Sigma}{\Delta}$ modulator in a 1.2 V 130 nm CMOS technology.

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Measurement of the Ionization Coefficient in Gases by the Luminous-flux Method (광속법을 이용한 기체의 전이계수 측정)

  • 백용현;하성철;이복희;김희택;김정섭
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.7
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    • pp.289-296
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    • 1985
  • The Townsend primary ionization coefficient a was measured by the luminous-flux method using the fact that the intensity of radiant light is proportional to electron density in the townsend discharge domain. The ranges of measurements were 15for He gas and 10

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2.5V $0.25{\mu}m$ CMOS Temperature Sensor with 4-Bit SA ADC

  • Kim, Moon-Gyu;Jang, Young-Chan
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2011.10a
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    • pp.448-451
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    • 2011
  • SoC에서 칩 내부의 온도를 측정하기 위한 proportional-to-absolute-temperature (PTAT) 회로와 sensing 된 아날로그 신호를 디지털로 변환하기 위해 4-bit analog-to-digital converter (ADC)로 구성된 temperature sensor를 제안한다. CMOS 공정에서 vertical PNP 구조를 이용하여 PTAT 회로가 설계되었다. 온도변화에 둔감한 ADC를 구현하기 위해 아날로그 회로를 최소로 사용하는 successive approximation (SA) ADC가 이용되었다. 4-bit SA ADC는 capacitor DAC와 time-domain 비교기를 이용함으로 전력소모를 최소화하였다. 제안된 temperature sensor는 2.5V $0.25{\mu}m$ 1-poly 9-metal CMOS 공정을 이용하여 설계되었고, $50{\sim}150^{\circ}C$ 온도 범위에서 동작한다. Temperature sensor의 면적과 전력 소모는 각각 $130{\times}390\;um^2$과 868 uW이다.

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PSO-optimized Pareto and Nash equilibrium gaming-based power allocation technique for multistatic radar network

  • Harikala, Thoka;Narayana, Ravinutala Satya
    • ETRI Journal
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    • v.43 no.1
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    • pp.17-30
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    • 2021
  • At present, multiple input multiple output radars offer accurate target detection and better target parameter estimation with higher resolution in high-speed wireless communication systems. This study focuses primarily on power allocation to improve the performance of radars owing to the sparsity of targets in the spatial velocity domain. First, the radars are clustered using the kernel fuzzy C-means algorithm. Next, cooperative and noncooperative clusters are extracted based on the distance measured using the kernel fuzzy C-means algorithm. The power is allocated to cooperative clusters using the Pareto optimality particle swarm optimization algorithm. In addition, the Nash equilibrium particle swarm optimization algorithm is used for allocating power in the noncooperative clusters. The process of allocating power to cooperative and noncooperative clusters reduces the overall transmission power of the radars. In the experimental section, the proposed method obtained the power consumption of 0.014 to 0.0119 at K = 2, M = 3 and K = 2, M = 3, which is better compared to the existing methodologies-generalized Nash game and cooperative and noncooperative game theory.