• 제목/요약/키워드: upper-and-lower solution method

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A Numerical Method for Dynamic Analysis of Tracked Vehicles of High Mobility

  • Lee, Ki-Su
    • Journal of Mechanical Science and Technology
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    • 제14권10호
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    • pp.1028-1040
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    • 2000
  • A numerical method is presented for the dynamic analysis of military tracked vehicles of high mobility. To compute the impulsive dynamic contact forces which occur when a vehicle passes on a ground obstacle, the track is modeled as the combination of elastic links interconected by pin joints. The mass of each track link, the elastic elongation of a track link between pin joints by the track tension, and the elastic spring effects on the upper and lower surfaces of each track link have been considered in the equations of motion. And the chassis, torsion bar arms, and road wheels of the vehicle are modeled as the rigid multi bodies connected with kinematic constraints. The contact positions and the contact forces between the road wheels and track, and the ground and the the track are simultaneously computed with the solution of the equations of motions of the vehicle consisting of the multibodies. The iterative scheme for the solution of the multi body dynamics of the tracked vehicle is presented and the numerical simulations are conducted.

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Design and Configuration of Reconfigurable ATM Networks with Unreliable Links

  • Lee, Jong-Hyup
    • ETRI Journal
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    • 제21권4호
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    • pp.9-22
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    • 1999
  • This paper considers a problem of configuring both physical backbone and logical virtual path (VP) networks in a reconfigurable asynchronous transfer mode (ATM) network where links are subject to failures. The objective is to determine jointly the VP assignment, the capacity assignment of physical links and the bandwidth allocation of VPs, and the routing assignment of traffic demand at least cost. The network cost includes backbone link capacity expansion cost and penalty cost for not satisfying the maximum throughput of the traffic due to link failures or insufficient link capacities. The problem is formulated as a zero-one non-linear mixed integer programming problem, for which an effective solution procedure is developed by using a Lagrangean relaxation technique for finding a lower bound and a heuristic method exploited for improving the upper bound of any intermediate solution. The solution procedure is tested for its effectiveness with various numerical examples.

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DYNAMICAL BEHAVIOR OF A HARVEST SINGLE SPECIES MODEL ON GROWING HABITAT

  • Ling, Zhi;Zhang, Lai
    • 대한수학회보
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    • 제51권5호
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    • pp.1357-1368
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    • 2014
  • This paper is concerned with a reaction-diffusion single species model with harvesting on n-dimensional isotropically growing domain. The model on growing domain is derived and the corresponding comparison principle is proved. The asymptotic behavior of the solution to the problem is obtained by using the method of upper and lower solutions. The results show that the growth of domain takes a positive effect on the asymptotic stability of positive steady state solution while it takes a negative effect on the asymptotic stability of the trivial solution, but the effect of the harvesting rate is opposite. The analytical findings are validated with the numerical simulations.

철도승객의 노선선택을 고려한 철도망 설계모형 연구 (A Railway Network Design Problem Considering Passengers Route Choice)

  • 임용택;장준석;박진경;이준
    • 한국철도학회논문집
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    • 제11권6호
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    • pp.581-587
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    • 2008
  • 본 연구에서는 철도건설로 인한 네트워크 효과를 고려할 수 있는 철도망 설계문제(Railway Network Design Problem, RNDP)를 제안하고 이를 풀기 위한 알고리듬을 제시코자 한다. 이를 위하여 bi-level 프로그램으로 모형을 구축하며, 상위문제는 총 통행비용을 최소화시키는 설계변수(design variable)를 구하는 문제이고, 하위문제(lower level problem)는 이에 따른 철도 승객의 철도선택 문제로 표현된다. 따라서, 본 연구의 철도망 설계문제는 철도건설로 인한 승객들의 노선변화를 고려할 있는 장전이 있으며 이점이 기존 철도망설계문제와의 차이점이다. 본 연구에서 제안된 모형과 알고리듬을 2개의 예제 철도망에 적용해 본 결과, 합리적인 해를 산출하여 향후 철도망 계획분야에 적용할 수 있음을 확인하였다.

호감도 함수 기반 다특성 강건설계 최적화 기법 (A Desirability Function-Based Multi-Characteristic Robust Design Optimization Technique)

  • 박종필;조재훈;남윤의
    • 산업경영시스템학회지
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    • 제46권4호
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    • pp.199-208
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    • 2023
  • Taguchi method is one of the most popular approaches for design optimization such that performance characteristics become robust to uncontrollable noise variables. However, most previous Taguchi method applications have addressed a single-characteristic problem. Problems with multiple characteristics are more common in practice. The multi-criteria decision making(MCDM) problem is to select the optimal one among multiple alternatives by integrating a number of criteria that may conflict with each other. Representative MCDM methods include TOPSIS(Technique for Order of Preference by Similarity to Ideal Solution), GRA(Grey Relational Analysis), PCA(Principal Component Analysis), fuzzy logic system, and so on. Therefore, numerous approaches have been conducted to deal with the multi-characteristic design problem by combining original Taguchi method and MCDM methods. In the MCDM problem, multiple criteria generally have different measurement units, which means that there may be a large difference in the physical value of the criteria and ultimately makes it difficult to integrate the measurements for the criteria. Therefore, the normalization technique is usually utilized to convert different units of criteria into one identical unit. There are four normalization techniques commonly used in MCDM problems, including vector normalization, linear scale transformation(max-min, max, or sum). However, the normalization techniques have several shortcomings and do not adequately incorporate the practical matters. For example, if certain alternative has maximum value of data for certain criterion, this alternative is considered as the solution in original process. However, if the maximum value of data does not satisfy the required degree of fulfillment of designer or customer, the alternative may not be considered as the solution. To solve this problem, this paper employs the desirability function that has been proposed in our previous research. The desirability function uses upper limit and lower limit in normalization process. The threshold points for establishing upper or lower limits let us know what degree of fulfillment of designer or customer is. This paper proposes a new design optimization technique for multi-characteristic design problem by integrating the Taguchi method and our desirability functions. Finally, the proposed technique is able to obtain the optimal solution that is robust to multi-characteristic performances.

LIGA process를 이용한 micro CPL(Capillary Pumped Loop)제작 (manufacturing micro CPL (Capillary Pumped Loop)by using LIGA process)

  • 조진우;정석원;박준식;박순섭
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 C
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    • pp.1881-1883
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    • 2001
  • We manufactured a micro CPL by LlGA process, a new conceptual ultra-fine and precise forming method, using X-ray lithography process. We fabricated a BN X-ray mask having properties of good X-ray transmittance and large mechanical strength. Micro CPL was manufactured by dividing into an upper plate and a low plate. Each of plates was bonded by Ag paste screen printing. The upper plate was fabricated on glass wafer to observe flow and phase transformation of cooling solution. The lower plate was manufactured by Cu electroplating for good heat transmission. Precision of inner Parts, micro pin and micro channel, of manufactured micro CPL is under ${\pm}2{\mu}m$.

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2심 냉간성형 각형 CFT기둥-보 접합부의 구조거동 (Structural Behavior of Two-Seam Cold Formed Square CFT Column to Beam Connections)

  • 오헌근;김선희;박찬면;최성모
    • 한국공간구조학회논문집
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    • 제12권4호
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    • pp.81-90
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    • 2012
  • The concrete-filled tube (CFT) column has the excellent structural performance. But it is difficult to connect with column and beam because of closed section. Its Solution, 2 members of ㄷchennel in which Internal diaphragm is installed were welded beforehand and the method of making Rectangular Steel Tube was proposed. According to upside and downside junction shape, Internal diaphragm suggested as symmetric specimen and asymmetric specimen. The upper and lower diaphragm of the Symmetric specimen used the same horizontal and The upper diaphragm of the Asymmetric specimen used the horizontal plate and the lower diaphragm used the vertically plate. In this research, 4 T-shape column to beam steps connections were tested with cyclic loading experiment in order to evaluate the structural capability of the offered connection. Symmetric specimens be a failure in 0.03rad from beam flange. And Asymmetric specimens be a failure in 0.05rad from column interface. The comparison results of All specimens shown similar to energy absorption capacity in 0.02rad.

변온유입 성층축열조의 충전과정에 대한 해석적 접근 (Analytical approaches to the charging process of stratified thermal storage tanks with variable inlet temperature)

  • 유호선
    • 설비공학논문집
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    • 제9권1호
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    • pp.43-54
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    • 1997
  • This paper presents an approximate analytical solution to a two-region one-dimensional model for the charging process of stratified thermal storage tanks with variable inlet temperature in the presence of momentum-induced mixing. Based on the superposition principle, an arbitrary-varying inlet temperature is decomposed into inherent discontinuous steps and continuous intervals approximated as a finite number of piecewise linear functions. This approximation allows the temperature of the upper perfectly-mixed layer to be expressed in terms of constant, linear and exponential functions with respect to time. Applying the Laplace transform technique to the model equation for the lower thermocline layer subject to each of three representative interfacial conditions yields compact-form solutions, a linear combination of which constitutes the final temperature profile. A systematic method for deriving solutions to the plug-flow problem having polynomial-type boundary conditions is also established. The effect of adiabatic exit boundary on solution behaviors proves to be negligible under the actual working conditions, which justifies the assumption of semi-infinite domain introduced in the solution procedure. Finally, the approximate solution is validated by comparing it with an exact solution obtained for a specific variation of inlet temperature. Excellent agreements between them suffice to show the necessity and utility of this work.

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WEAK SUFFICIENT CONVERGENCE CONDITIONS AND APPLICATIONS FOR NEWTON METHODS

  • Argyros, Ioannis-K.
    • Journal of applied mathematics & informatics
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    • 제16권1_2호
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    • pp.1-17
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    • 2004
  • The famous Newton-Kantorovich hypothesis has been used for a long time as a sufficient condition for the convergence of Newton method to a solution of an equation in connection with the Lipschitz continuity of the Frechet-derivative of the operator involved. Using Lipschitz and center-Lipschitz conditions we show that the Newton-Kantorovich hypothesis is weakened. The error bounds obtained under our semilocal convergence result are finer and the information on the location of the solution more precise than the corresponding ones given by the dominating Newton-Kantorovich theorem, and under the same hypotheses/computational cost, since the evaluation of the Lipschitz also requires the evaluation of the center-Lipschitz constant. In the case of local convergence we obtain a larger convergence radius than before. This observation is important in computational mathematics and can be used in connection to projection methods and in the construction of optimum mesh independence refinement strategies.