• 제목/요약/키워드: Non-solution method

검색결과 1,170건 처리시간 0.031초

ON SOME SPECIAL CONDITIONS OF n-TH ORDER NON-OSCILLATORY NONLINEAR SYSTEMS

  • Alam, M.-Shamsul;Hossain, M.B.
    • 대한수학회논문집
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    • 제18권4호
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    • pp.755-765
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    • 2003
  • Krylov-Bogoliubov-Mitropolskii method has been extended to obtain asymptotic solution of n-th order nonlinear differential system characterized by certain non-oscillatory processes. The damping force is considered in such a manner that one of the characteristic roots of the linear system becomes small and others are in integral multiple. The method is illustrated by an example. The solutions for different initial conditions show a good agreement with those obtained by numerical method.

An asymptotic analysis on non-linear free vibration of squarely-reticulated circular plates

  • Nie, G.H.
    • Structural Engineering and Mechanics
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    • 제8권6호
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    • pp.547-560
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    • 1999
  • In this paper an asymptotic iteration method is adopted to analyze non-linear free vibration of reticulated circular plates composed of beam members placed in two orthogonal directions. For the resulting linear ordinary differential equations in the process of iteration, the power series with rapid convergence has been applied to obtain an analytical solution for non-linear characteristic relation between the amplitude and frequency of the structure. Numerical examples are given, and the phenomena indicating hardening of such structures have been presented for the (immovable or movable) simply-supported and clamped circular plates.

무세제 세탁코스에 관한 연구 (A Study on Non-detergent Course of Washing Machine)

  • 강인숙;조성진;김영수
    • 한국의류산업학회지
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    • 제5권5호
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    • pp.539-544
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    • 2003
  • The purpose of this study is to research source of soil which is available for non-detergent course, and to develop optimum non-detergent course of washing machine for water soluble soil. The water soluble soil such as grape juice, soy bean paste and soy sauce were easily removed from the fabric but the oil soluble soils such as sesame oil and steak sauce were insurfficiently removed in washing solution without detergent. In the absence of detergent, amount of residual soils increased linearly with increasing number of soiling and washing. To search optimum conditions of washing for non-detergent course, the effect of temperature, washing time and washing method on detergency of soil in non-detergent washing solution was examined. The optimum washing temperature and washing time for non-detergent course were about $40^{\circ}C$, and 7 minutes, respectively. And in the non-detergent washing solution, midterm drain-resupply of water during washing process was good for removal of water soluble soil.

자기동조 가중최소자승법을 이용한 AOA 측위 알고리즘 개발 (Development of an AOA Location Method Using Self-tuning Weighted Least Square)

  • 이성호;김동혁;노기홍;박경순;성태경
    • 제어로봇시스템학회논문지
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    • 제13권7호
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    • pp.683-687
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    • 2007
  • In last decades, several linearization methods for the AOA measurements have been proposed, for example, Gauss-Newton method and Closed-Form solution. Gauss-Newton method can achieve high accuracy, but the convergence of the iterative process is not always ensured if the initial guess is not accurate enough. Closed-Form solution provides a non-iterative solution and it is less computational. It does not suffer from convergence problem, but estimation error is somewhat larger. This paper proposes a Self-Tuning Weighted Least Square AOA algorithm that is a modified version of the conventional Closed-Form solution. In order to estimate the error covariance matrix as a weight, a two-step estimation technique is used. Simulation results show that the proposed method has smaller positioning error compared to the existing methods.

Development of an AOA Location Method Using Covariance Estimation

  • Lee, Sung-Ho;Roh, Gi-Hong;Sung, Tae-Kyung
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2006년도 International Symposium on GPS/GNSS Vol.1
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    • pp.485-489
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    • 2006
  • In last decades, several linearization methods for the AOA measurements have been proposed, for example, Gauss-Newton method and closed-form solution. Gauss-Newton method can achieve high accuracy, but the convergence of the iterative process is not always ensured if the initial guess is not accurate enough. Closed-form solution provides a non-iterative solution and it is less computational. It does not suffer from convergence problem, but estimation error is somewhat larger. This paper proposes a self-tuning weighted least square AOA algorithm that is a modified version of the conventional closed-form solution. In order to estimate the error covariance matrix as a weight, two-step estimation technique is used. Simulation results show that the proposed method has smaller positioning error compared to the existing methods.

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하천 수질관리 시스템에서 최적화를 위한 유전알고리즘의 개발 (Development of a Genetic Algorithm for the optimization in River Water Quality Management System)

  • 성기석;조재현
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 2001년도 추계학술대회 논문집
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    • pp.203-206
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    • 2001
  • Finding the optimal solution in the river water quality management system is very hard with the non-linearity of the water quality model. Many suggested methods for that using the linear programming, non-linear programming and dynamic programming, are failed to give an optimal solution of sufficient accuracy and satisfaction. We studied a method to find a solution optimizing the river water quality management in the aspect of the efficiency and the cost of the waste water treatment facilities satisfying the water Quality goals. In the suggested method, we use the QUAL2E water quality model and the genetic algorithm. A brief result of the project to optimize the water quality management in the Youngsan river is presented.

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Non-iterative Bit Loading Algorithm for OFDM in Independent and Correlated fading

  • Manry, John W.;Nagaraj, Santosh
    • Journal of Information Processing Systems
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    • 제10권2호
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    • pp.163-175
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    • 2014
  • This paper will focus on improving the performance of orthogonal frequency division multiplexing (OFDM) in Rayleigh fading environments. The proposed technique will use a previously published method that has been shown to improve OFDM performance in independent fading, based on ordered sub-carrier selection. Then, a simple non-iterative method for finding the optimal bit-loading allocation was proposed. It was also based on ordered sub-carrier selection. We compared both of these algorithms to an optimal bit-loading solution to determine their effectiveness in a correlated fading environment. The correlated fading was simulated using the JTC channel models. Our intent was not to create an optimal solution, but to create a low complexity solution that can be used in a wireless environment in which the channel conditions change rapidly and that require a simple algorithm for fast bit loading.

BROYDEN'S METHOD FOR OPERATORS WITH REGULARLY CONTINUOUS DIVIDED DIFFERENCES

  • Galperin, Anatoly M.
    • 대한수학회지
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    • 제52권1호
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    • pp.43-65
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    • 2015
  • We present a new convergence analysis of popular Broyden's method in the Banach/Hilbert space setting which is applicable to non-smooth operators. Moreover, we do not assume a priori solvability of the equation under consideration. Nevertheless, without these simplifying assumptions our convergence theorem implies existence of a solution and superlinear convergence of Broyden's iterations. To demonstrate practical merits of Broyden's method, we use it for numerical solution of three nontrivial infinite-dimensional problems.

SOLUTION OF RICCATI TYPES MATRIX DIFFERENTIAL EQUATIONS USING MATRIX DIFFERENTIAL TRANSFORM METHOD

  • Abazari, Reza
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1133-1143
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    • 2009
  • In this work, we successfully extended dimensional differential transform method (DTM), by presenting and proving some new theorems, to solve the non-linear matrix differential Riccati equations(first and second kind of Riccati matrix differential equations). This technique provides a sequence of matrix functions which converges to the exact solution of the problem. Examples show that the method is effective.

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Controlling the pore size of macroporous membranes by adding non-solvent

  • Shin, Se-Jong;Im, Se-Jun;Park, Seung-Ryul;Lee, Seung-Yun;Min, Byoung-Ryul
    • 한국막학회:학술대회논문집
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    • 한국막학회 2003년도 The 4th Korea-Italy Workshop
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    • pp.107-114
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    • 2003
  • This study investigated the effect of 2-methoxy ethanol (2-Me) non-solvent as additive included in casting solution. Macroporous polymer membranes were prepared by using polyethersufone (PES)/N-methyl-2-pyrrolidone (NMP)/2-Me casting solution and water coagulant. The phase separation co-process of the vapor-induced phase separation (VIPS) and liquid-induced phase separation (LIPS) were used by means of membrane preparation method. The pore size and pore size distribution were controlled with additive (non-solvent), and measured with Automated Perm Porometer. By increasing additive (non-solvent) in the casting solution, the membranes produced changed from finger structure to sponge structure. That is due to the different diffusion rates. At slow diffusion process, sponge-like structure was formed and at fast diffusion process, finger-like structure was formed. Also relative humidity, evaporation time, temperature of casting solution and coagulation bath etc. had effects on the pore size distribution and the porosity of the membrane.

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