• 제목/요약/키워드: Series solutions

검색결과 564건 처리시간 0.042초

반무한방파제에 의한 파랑변형 해석해 (Analytical Solutions for Wave deformation Due to Semi-Infinite Breakwaters)

  • Seo, Seung-Nam
    • 한국해안해양공학회지
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    • 제11권3호
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    • pp.156-164
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    • 1999
  • 반무한방파제에 의한 파랑변형을 다룬 Penney and Price(1952)의 해석해를 재유도하였다. 기존 연구는 해석해의 유도과정을 간략하게 기술하거나 생략하여 본 논문에서는 해의 유도에 초점을 두었다. Stoker 해는 급수형태로 표시되어 급수 개수에 따른 정밀도를 분석하고 수치계산결과를 제시하였다.

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Deformation analysis of a geocell mattress using a decoupled iterative method

  • Zhang, Ling;Zhao, Minghua;Zhao, Heng
    • Structural Engineering and Mechanics
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    • 제46권6호
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    • pp.775-790
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    • 2013
  • Deformation analysis is a major concern in many geotechnical applications. In this paper, the deformation behavior of a geocell mattress subjected to symmetric loads was studied. The mattress was idealized as an elastic foundation beam. The horizontal beam-soil interfacial shear resistances at the beam top and bottom sides were taken into account by assuming the resistances to be linear with the relative horizontal displacements. A decoupled iterative method was employed to solve the differential displacement equations derived from the force analysis of a beam element and to obtain the solutions for the deformations and internal forces of the geocell reinforcement. The validity of the present solutions was verified by the existing finite element method and power-series solutions.

Analytical solutions for bending of transversely or axially FG nonlocal beams

  • Nguyen, Ngoc-Tuan;Kim, Nam-Il;Lee, Jaehong
    • Steel and Composite Structures
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    • 제17권5호
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    • pp.641-665
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    • 2014
  • This paper presents the analytical solutions for the size-dependent static analysis of the functionally graded (FG) beams with various boundary conditions based on the nonlocal continuum model. The nonlocal behavior is described by the differential constitutive model of Eringen, which enables to this model to become effective in the analysis and design of nanostructures. The elastic modulus of beam is assumed to vary through the thickness or longitudinal directions according to the power law. The governing equations are derived by using the nonlocal continuum theory incorporated with Euler-Bernoulli beam theory. The explicit solutions are derived for the static behavior of the transversely or axially FG beams with various boundary conditions. The verification of the model is obtained by comparing the current results with previously published works and a good agreement is observed. Numerical results are presented to show the significance of the nonlocal effect, the material distribution profile, the boundary conditions, and the length of beams on the bending behavior of nonlocal FG beams.

Quasi-Likelihood Estimation for ARCH Models

  • Kim, Sah-Myeong
    • Journal of the Korean Data and Information Science Society
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    • 제16권3호
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    • pp.651-656
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    • 2005
  • In this paper the quasi-likelihood function was proposed and the estimators which are the solutions of the estimating equations for estimation of a class of nonlinear time series models. We compare the performances of the proposed estimators with those of the ML estimators under the heavy-railed distributions by simulation.

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A Biclustering Method for Time Series Analysis

  • Lee, Jeong-Hwa;Lee, Young-Rok;Jun, Chi-Hyuck
    • Industrial Engineering and Management Systems
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    • 제9권2호
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    • pp.131-140
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    • 2010
  • Biclustering is a method of finding meaningful subsets of objects and attributes simultaneously, which may not be detected by traditional clustering methods. It is popularly used for the analysis of microarray data representing the expression levels of genes by conditions. Usually, biclustering algorithms do not consider a sequential relation between attributes. For time series data, however, bicluster solutions should keep the time sequence. This paper proposes a new biclustering algorithm for time series data by modifying the plaid model. The proposed algorithm introduces a parameter controlling an interval between two selected time points. Also, the pruning step preventing an over-fitting problem is modified so as to eliminate only starting or ending points. Results from artificial data sets show that the proposed method is more suitable for the extraction of biclusters from time series data sets. Moreover, by using the proposed method, we find some interesting observations from real-world time-course microarray data sets and apartment price data sets in metropolitan areas.

AN IDENTIFICATION OF THE FREQUENCIES AND AMPLITUDES OF THE TRIGONOMETRIC SERIES

  • Chung, Ji-Chan;Kang, Min-Soo;Kim, Soo-Han;Ko, Il-Seog
    • 대한수학회논문집
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    • 제26권4호
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    • pp.603-610
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    • 2011
  • In this paper, we propose an algorithm for identifying ${\omega}_j{\in}(0,\;{\infty}),\;a_j,b_j{\in}\mathbb{C}$ and N of the following trigonometric series $f(t)=a_0+ \sum\limits_{j=1}^N[a_jcos{\omega}_jt+b_j\;sin{\omega}_jt]$ by means of the finite number of sample values. We prove that the frequency components are shown to be the solutions of some characteristic equation related to the inverse of a Hankel matrix derived from the sample values.

유전알고리즘을 이용한 직류직권모터 시스템의 퍼지제어에 관한 연구 (A Study on the Fuzzy Control of Series Wound Motor Drive Systems uUing Genetic Algorithms)

  • 김종건;배종일;이만형
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.60-64
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    • 1997
  • Designing fuzzy controller, there are difficulties that we have to determine fuzzy rules and shapes of membership functions which are usually obtained by the amount of trial-and-error or experiences from the experts. In this paper, to overcome these defects, genetic algorithms which is probabilistic search method based on genetics and evolution theory are used to determine fuzzy rules and fuzzy membership functions. We design a series compensation fuzzy controller, then determine basic structures, input-output variables, fuzzy inference methods and defuzzification methods for fuzzy controllers. We develop genetic algorithms which may search more accurate optimal solutions. For evaluating the fuzzy controller performances through experiments upon an actual system, we design the fuzzy controllers for the speed control of a DC series motor with nonlinear characteristics and show good output responses to reference inputs.

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유전체 쐐기에 의한 물리광학해를 수정하기 위한 새 로운 급수 (Fast Converging Correction Current for the Physical Optics Edge Diffraction by a dielectric Wedge)

  • 전재영;서종화;나정웅
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1999년도 하계종합학술대회 논문집
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    • pp.877-880
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    • 1999
  • A rigorous formulation is suggested〔l,2,3〕 in solving the scattering of plane waves by a dielectric wedge. Correcting surface currents are expanded in a Neumann series of fractional orders to meet the edge condition of static limit〔4〕. For the better converging series, the modified Neumann series satisfying the static limit edge condition and the radiation condition are suggested here for the surface currents having two different wave numbers of air and dielectric〔4〕. This representation gives accurate solutions over the whole region including the grazing incidence of the plane waves upon the dielectric wedge of large permittivities.

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FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS AND MODIFIED RIEMANN-LIOUVILLE DERIVATIVE NEW METHODS FOR SOLUTION

  • Jumarie, Guy
    • Journal of applied mathematics & informatics
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    • 제24권1_2호
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    • pp.31-48
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    • 2007
  • The paper deals with the solution of some fractional partial differential equations obtained by substituting modified Riemann-Liouville derivatives for the customary derivatives. This derivative is introduced to avoid using the so-called Caputo fractional derivative which, at the extreme, says that, if you want to get the first derivative of a function you must before have at hand its second derivative. Firstly, one gives a brief background on the fractional Taylor series of nondifferentiable functions and its consequence on the derivative chain rule. Then one considers linear fractional partial differential equations with constant coefficients, and one shows how, in some instances, one can obtain their solutions on bypassing the use of Fourier transform and/or Laplace transform. Later one develops a Lagrange method via characteristics for some linear fractional differential equations with nonconstant coefficients, and involving fractional derivatives of only one order. The key is the fractional Taylor series of non differentiable function $f(x+h)=E_{\alpha}(h^{\alpha}{D_x^{\alpha})f(x)$.

Synergistic extraction of lanthanoids(III) with thenoyltrifluoroacetone and aromatic carboxylic acids and the hydration of the extracted species

  • Ishiwata, E.;Kimura, T.;Kato, Y.;Hasegawa, Y.
    • 분석과학
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    • 제8권4호
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    • pp.499-503
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    • 1995
  • In order to study how and why the stabilities of lanthanoid(III) complexes in solutions vary across the series, the formation constants of the adducts of tris(2-thenoyltrifluoroacetonato)lanthanoids(III) with seven carboxylic acids in chloroform have been determined by solvent extraction technique at 298K. The formation constants with carboxylic acids generally decrease with increasing the atomic number, but in the middle of the series, they change only slightly. Such trends have been interpreted as related to a change of the coordination number in the middle of the series. It has been attempted to determine the number of water molecules coordinated to the adducts as well as $Eu(TTA)_3$ in chloroform by measuring the fluorescence life time of europium(III), to ensure the assignment of the coordination number.

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