• Title/Summary/Keyword: upper solutions

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Torsional analysis of heterogeneous magnetic circular cylinder

  • Zenkour, Ashraf M.
    • Steel and Composite Structures
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    • v.17 no.4
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    • pp.535-548
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    • 2014
  • In this paper, the exact closed-form solutions for torsional analysis of heterogeneous magnetostrictive circular cylinder are derived. The cylinder is subjected to the action of a magnetic field produced by a constant longitudinal current density. It is also acted upon by a particular kind of shearing stress at its upper base. The rigidity of the cylinder is graded through its axial direction from one material at the lower base to another material at the upper base. The distributions of circumferential displacement and shear stresses are presented through the radial and axial directions of the cylinder. The influence of the magnetostrictive parameter is discussed. The effects of additional parameters are investigated.

Guaranteed cost control for singular systems with time delays using LMI

  • Kim, Jong-Hae
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.44.1-44
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    • 2002
  • This paper is concerned with the problem of designing a guaranteed cost state feedback controller for singular systems with time-varying delays. The sufficient condition for the existence of a guaranteed cost controller, the controller design method, and the optimization problem to get the upper bound of guaranteed cost function are proposed by LMI(linear matrix inequality), singular value decomposition, Schur complements, and change of variables. Since the obtained sufficient conditions can be changed to LMI form, all solutions including controller gain and upper bound of guaranteed cost function can be obtained simultaneously.

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Robust stability of linear system with unstructured uncertainty (비구조적인 불확정성을 갖는 선형시스템의 강인 안정성)

  • 김진훈;변증남
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.52-54
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    • 1991
  • In this paper, the robust stability, and the quadratic performance of linear uncertain systems are studied. A quadratic Lyapunov function candidate with time-varying matrix is derived to provide robust stability bounds. Also upper bounds of a quadratic performance is given under the assumption that the uncertain system is stable. Both the robust stability bounds and the upper bounds of a quadratic performance are obtained as solutions of a class of modified Lyapunov equations.

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Bifurcation Solutions of Natural Convection in a Trapezoidal Cavity (사다리꼴 밀폐공간 내에서 자연대류의 이중해에 관한 연구)

  • 강신형;김진권;이준식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.458-466
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    • 1993
  • Natural convection in trapezoidal sections of cavity was numerically investigated using a Finite Volume Method. Temperatures of the upper inclined and lower horizontal walls are constant, with vertical side walls being insulated. When the top wall is hotter than the bottom one, a single cell of stratified flow field is obtained and heat transfer occurs only by conduction. For the colder top wall, bifurcation solutions are obtained for the higher Rayleigh numbers, while unique solutions for lower values. Flow structure is strongly dependent on the configuration and the Rayleigh number.

Study for Forging of Spline with Upper Bound Method (상계법을 이용한 스플라인 단조에 관한 연구)

  • 조해용;최재찬;최종웅;민규식
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.10a
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    • pp.37-47
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    • 1995
  • Forging of trapezoidal spline, serration and square spline with solid cylindrical billets and hollow one has been investigated by means of upper bound method. Kinematically admissible velocity fields for forging of splines have been proposed in this study. The half pitch of splines has been divided into deformation regons. The neutral surface is introduced into forging of splines with flat punch and, for each step, it is assumed as a circle with its radius rn upper bound solutions obtained obtained by proposed kinematically admissible velocity fields are useful to predict the loads for forging of splines.

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Assessment of Tunnel Collapse Load by Closed-Form Analytical Solution and Finite Element Analysis (근사적인 해석법과 유한요소해석에 의한 터널붕괴하중 평가)

  • Lee, Yong-Joo
    • Journal of the Korean Geotechnical Society
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    • v.23 no.4
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    • pp.185-197
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    • 2007
  • Limit analysis of upper and lower bound solutions has been well developed to provide the stability numbers for shallow tunnels in cohesive soil ($c_u$ material), cohesive-frictional soil (c'-$\phi$' material) and cohesionless soil ($\phi$'material). However, an extension of these methods to relatively deep circular tunnels in the cohesionless soil has been explored rarely to date. For this reason, the closed-form analytical solutions including lower bound solution based on the stress discontinuity concept and upper bound solution based on the kinematically admissible failure mechanism were proposed for assessing tunnel collapse load in this study. Consequently, the tunnel collapse load from those solutions was compared with both the finite element analysis and the previous analytical bound solutions and shown to be in good agreement with the FE results, in particular with the FE soil elements located on the horizontal tunnel axis.

A Symbiotic Evolutionary Algorithm for Balancing and Sequencing Mixed Model Assembly Lines with Multiple Objectives (다목적을 갖는 혼합모델 조립라인의 밸런싱과 투입순서를 위한 공생 진화알고리즘)

  • Kim, Yeo-Keun;Lee, Sang-Seon
    • Journal of the Korean Operations Research and Management Science Society
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    • v.35 no.3
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    • pp.25-43
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    • 2010
  • We consider a multi-objective balancing and sequencing problem in mixed model assembly lines, which is important for an efficient use of the assembly lines. In this paper, we present a neighborhood symbiotic evolutionary algorithm to simultaneously solve the two problems of balancing and model sequencing under multiple objectives. We aim to find a set of well-distributed solutions close to the true Pareto optimal solutions for decision makers. The proposed algorithm has a two-leveled structure. At Level 1, two populations are operated : One consists of individuals each of which represents a partial solution to the balancing problem and the other consists of individuals for the sequencing problem. Level 2, which is an upper level, works one population whose individuals represent the combined entire solutions to the two problems. The process of Level 1 imitates a neighborhood symbiotic evolution and that of Level 2 simulates an endosymbiotic evolution together with an elitist strategy to promote the capability of solution search. The performance of the proposed algorithm is compared with those of the existing algorithms in convergence, diversity and computation time of nondominated solutions. The experimental results show that the proposed algorithm is superior to the compared algorithms in all the three performance measures.

A Study on the Development Process of the Liquid Rocket Engine for the Upper Stage of the Korea Space Launch Vehicle-II (한국형발사체 상단 액체로켓엔진의 개발과정에 대한 고찰)

  • Seo, Kyoun-Su;Park, Soon-Young;Nam, Chang-Ho;Moon, Yoonwan
    • Journal of the Korean Society of Propulsion Engineers
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    • v.26 no.1
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    • pp.68-76
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    • 2022
  • Upper stage of the Korea Space Launch Vehicle-II(KSLV-II) uses a 7-tons class liquid rocket engine and is an open gas generator cycle with a turbopump supply method that uses kerosene/liquid oxygen as the propellant combination. This study first provided a brief overview of the design and development process of the upper stage engine. In addition, it introduced the solutions and results applied to some of the problems that occurred during the development process of the upper stage engine.

Nonlinear Waves of a Two-Layer Compressible Fluid over a Bump

  • Kim H. Y.;Choi J. W.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.113-119
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    • 2000
  • Two-dimensional steady flow of two immiscible, compressible fluids are considered when the temperature of each layer is constant. Both upper and lower fluids are bounded by two horizontal rigid boundaries with symmetric obstruction of compact support at the tourer boundary. By using asymptotic method, we derive the forced K-dV equation governing interfacial wave. Various solutions and numerical results are presented.

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