• 제목/요약/키워드: Particular Solution

검색결과 1,088건 처리시간 0.026초

A Nonlinear Analytic Function Expansion Nodal Method for Transient Calculations

  • Joo, Han-Gyu;Park, Sang-Yoon;Cho, Byung-Oh;Zee, Sung-Quun
    • 한국원자력학회:학술대회논문집
    • /
    • 한국원자력학회 1998년도 춘계학술발표회논문집(1)
    • /
    • pp.79-86
    • /
    • 1998
  • The nonlinear analytic function expansion nodal (AFEN) method is applied to the solution of the time-dependent neutron diffusion equation. Since the AFEN method requires both the particular solution and the homogeneous solution to the transient fixed source problem, the derivation solution method is focused on finding the particular solution efficiently. To avoid complicated particular solutions, the source distribution is approximated by quadratic polynomials and the transient source is constructed such that the error due to the quadratic approximation is minimized. In addition, this paper presents a new two-node solution scheme that is derived by imposing the constraint of current continuity at the interface corner points. The method is verified through a series of applications to the NEACRP PWR rod ejection benchmark problem.

  • PDF

SOME GEOMETRIC RESULTS ON A PARTICULAR SOLUTION OF EINSTEIN'S EQUATION

  • Lee, Jong Woo
    • Korean Journal of Mathematics
    • /
    • 제18권1호
    • /
    • pp.21-28
    • /
    • 2010
  • In the unified field theory(UFT), many works on the solutions of Einstein's equation have been published. The main goal in the present paper is to obtain some geometric results on a particular solution of Einstein's equation under some condition in even-dimensional UFT $X_n$.

A PARTICULAR SOLUTION OF THE EINSTEIN'S EQUATION IN EVEN-DIMENSIONAL UFT Xn

  • Lee, Jong Woo
    • 충청수학회지
    • /
    • 제23권2호
    • /
    • pp.185-195
    • /
    • 2010
  • In the unified field theory(UFT), in order to find a solution of the Einstein's equation it is necessary and sufficient to study the torsion tensor. The main goal in the present paper is to obtain, using a given torsion tensor (3.1), the complete representation of a particular solution of the Einstein's equation in terms of the basic tensor $g_{{\lambda}{\nu}}$ in even-dimensional UFT $X_n$.

Plane strain bending of a bimetallic sheet at large strains

  • Alexandrov, Sergei E.;Kien, Nguyen D.;Manh, Dinh V.;Grechnikov, Fedor V.
    • Structural Engineering and Mechanics
    • /
    • 제58권4호
    • /
    • pp.641-659
    • /
    • 2016
  • This paper deals with the pure bending of incompressible elastic perfectly plastic two-layer sheets under plane strain conditions at large strains. Each layer is classified by its yield stress, shear modulus of elasticity and its initial percentage thickness in relation to the whole sheet. The solution found is semi-analytic. In particular, a numerical technique is only necessary to solve transcendental equations. The general solution is cumbersome because different analytic expressions for the radial and circumferential stresses should be adopted in different regions of the whole sheet. In particular, there are several alternative ways a plastic region (or plastic regions) can propagate. However, for any given set of material and process parameters the solution to the problem consists of a sequence of rather simple analytic expressions connected by transcendental equations. The general solution is illustrated by a simple example.

외부 전자파 펄스에 의해 전송선로에 유기되는 과전류 및 과전압 보호회로의 해석 (Analysis of Protection Circuits of Overcurent and Overvoltage on Transmission Line Induced by External Electromagnetic Pulse)

  • 하헌태;김세윤;이경재;오명환
    • 전자공학회논문지A
    • /
    • 제28A권1호
    • /
    • pp.8-14
    • /
    • 1991
  • A new algorithm for calculation of overcurrent and overvoltage at load for parallel two-wire transmission line with nonlinear protection circuits induced by and external electromagnetic pulse is suggested. The rigorous solution is obtained for a particular type of the incident waveform and protection circuit. The validity of our algorithm is checked by comparing numerical results to the analytic solution in the particular case.

  • PDF

Complementarity and nonlinear structural analysis of skeletal structures

  • Tin-Loi, F.
    • Structural Engineering and Mechanics
    • /
    • 제5권5호
    • /
    • pp.491-505
    • /
    • 1997
  • This paper deals with the formulation and solution of a wide class of structures, in the presence of both geometric and material nonlinearities, as a particular mathematical programming problem. We first present key ideas for the nonholonomic (path dependent) rate formulation for a suitably discretized structural model before we develop its computationally advantageous stepwise holonomic (path independent) counterpart. A feature of the final mathematical programming problem, known as a nonlinear complementarity problem, is that the governing relations exhibit symmetry as a result of the introduction of so-called nonlinear "residuals". One advantage of this form is that it facilitates application of a particular iterative algorithm, in essence a predictor-corrector method, for the solution process. As an illustrative example, we specifically consider the simplest case of plane trusses and detail in particular the general methodology for establishing the static-kinematic relations in a dual format. Extension to other skeletal structures is conceptually transparent. Some numerical examples are presented to illustrate applicability of the procedure.

CONFLICT RESOLUTION IN FUZZY ENVIRONMENT

  • Shen, Ling;Szidarovszky, Ferenc
    • Journal of applied mathematics & informatics
    • /
    • 제5권1호
    • /
    • pp.51-64
    • /
    • 1998
  • Conflict resolution methodology is discussed with fuzzified Pareto frontier. Four solution concepts namely the Nash solution the generalized nash solution the kalai-Smorodinsky concept and a solution method based on a special bargaining process are examined. The solutions are also fuzzy, the corresponding payoff values are fyzzy numbers the membership functions of which are determined. Three particular cases are considered in the paper. Linear quadratic, and general nonlinear pareto frontiers with known shape are examined.

대향류 확산화염에서 확산-전도 불안정의 비선형 거동에 대한 수치해석 (Numerical Simulations on Nonlinear Behaviors of Diffusional-Thermal Instabilities in Counterflow Diffusion Flames)

  • 이수룡;김종수
    • 대한기계학회논문집B
    • /
    • 제26권5호
    • /
    • pp.695-702
    • /
    • 2002
  • Nonlinear dynamics of striped diffusion flames, by the diffusional-thermal instability with Lewis numbers sufficiently less than unity, is numerically investigated by examining various two-dimensional flame-structure solutions. The Lewis numbers for fuel and oxidizer are assumed to be identical and an overall single-step Arrhenius-type chemical reaction rate is employed in the model. Particular attention is focused on identifying the flame-stripe solution branches corresponding to each distinct stripe pattern and hysteresis encountered during the transition. At a Damkohler number slightly greater than the extinction Damkohler number, eight-stripe solution first emerges from one dimensional solution. The eight-stripe solution survives Damkohler numbers much smaller than the extinction Damkohler number until the transition to four-stripe solution occurs at the first forward transition Damkohler number. At the second forward transition Damkohler number, somewhat smaller than the first transition Damkohler number, the transition to two-stripe solution occurs. However, anu further transition from two-stripe solution to one-stripe solution is not always possible even if one-stripe solution can be independently accessed for particular initial conditions. The Damkohler number ranges for two-stripe and one-stripe solutions are found to be virtually identical because each stripe is an independent structure if distance between stripes is sufficiently large. By increasing the Damkohler number, the backward transition can be observed. In comparison with the forward transition Damkohler numbers, the corresponding backward transition Damkohler numbers are always much greater, thereby indicating significant hysteresis between the stripe patterns of strained diffusion flames.

시그니처 기반 안티 바이러스 성능 향상 기법에 대한 연구 (A Performance Enhancement Scheme for Signature-based Anti-Viruses)

  • 조민재;신지선
    • 한국산업정보학회논문지
    • /
    • 제20권2호
    • /
    • pp.65-72
    • /
    • 2015
  • 안티바이러스는 단말에서 악성소프트웨어를 탐지하는데 있어 널리 사용되는 솔루션이다. 이 중 시그니처 기반 안티바이러스는 가장 기본적인 탐지방법으로 파일과 악성소프트웨어의 시그니처를 비교하여 탐지한다. 최근 악성소프트웨어의 수가 급격히 증가함에 따라 시그니처 기반 안티바이러스의 탐지 시간이 증가하고 시간당 처리량이 줄어들면서 성능 저하 문제가 발생되고 있다. 본 논문에서는 이를 극복하기 위해 제시된 주요 연구 결과를 살펴보고 이를 개선한 새로운 성능향상 솔루션을 제시한다. 특히, 본 논문의 솔루션은 성능향상 수준이 가장 높은 솔루션으로 알려진 SplitScreen과 비교하여, 클라이언트의 작업을 줄이고, 시그니처 서버와의 통신비용을 줄여 안티바이러스 솔루션의 성능향상에 기여하였다.