• Title/Summary/Keyword: weak and strong solution

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End Bearing Capacity of a Pile in Cohesionless Soils (사질토에 있어서 말뚝의 선단부 지지력)

  • 이명환
    • Proceedings of the Korean Geotechical Society Conference
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    • 1988.06c
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    • pp.71-123
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    • 1988
  • The aim of this paper is to examine the end bearing capacity of a pile in cohesionless soils. The ode of failure of soil due to pile installation is assumed from experimental observation of actual soil deformation. A new solution is proposed complying with the assumed mode of failure by employing the theory of cavity expansion. The effect of curvature of failure envelope is studied in relation to tile proposed solution. The influence of a curved failure envelope becomes larger with increasing degree of curvature and the level of confining stress. This effect in some cases or reduce the end bearing capacity by tore the 80 percent compared with that given by a straight failure envelope. For practical application of tile proposed solution, the method of determining the average volume change in the plastic zone is re-evaluated. The proposed solution is confirmed by comparing the theoretical values with experimental results obtained from model pile tests in a calibration chamber. The comparison shows that the proposed solution provides a reasonable prediction of end bearing capacity for both weak and strong grained soils.

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DUALITY AND SUFFICIENCY IN MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH INVEXITY

  • Kim, Do-Sang;Lee, Hyo-Jung
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.2
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    • pp.101-108
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    • 2009
  • In this paper, we introduce generalized multiobjective fractional programming problem with two kinds of inequality constraints. Kuhn-Tucker sufficient and necessary optimality conditions are given. We formulate a generalized multiobjective dual problem and establish weak and strong duality theorems for an efficient solution under generalized convexity conditions.

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Modelling of a pH titration process and design of a self-tuning pH controller (pH 적정공정의 모델링 및 자기동조 제어기 설계)

  • 김우태;이혁희;최태호;이지태
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.476-481
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    • 1988
  • In this paper a pH process of a weak acid with a strong base is modeled into a bilinear form, and a self-tuning pH control algorithm which is robust against initial values of solution and disturbances is presented. The control algorithm employs the recursive least square method for the parameter estimation and the generalised minimum variance criterion as the objective function. The computer simulation shows that the tracking of desired pH values is obtained in satisfactory manner regardless of the initial values chosen for the process.

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Effects of Leonuri Herba and Leonuri Semen on Hypercholesterolemia (익모초(益母草)와 충울자(茺蔚子)의 고지혈증(高脂血症) 억제 효능)

  • Kim, Seon-Jae;Han, Hyo-Sang;Lee, Young-Jong
    • The Korea Journal of Herbology
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    • v.25 no.3
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    • pp.73-80
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    • 2010
  • Objectives:The present study purposed to evaluate the effects of Leonuri Herba and Leonuri Semen on hypercholesterolemia and provide data for the appropriate clinical application of Leonuri Herba and Leonuri Semen. Methods:We applied the water extracts of Leonuri Herba and Leonuri Semen to rats with hypercholesterolemia induced by high-cholesteroldiet, and examined their effects. Results:The levels of the total cholesterol and LDL-cholesterol were reduced by the uptake of Leonuri Herba to rats with hypercholesterolemia, but there was no significant effect on the level of TG(triglyceride), HDLc(HDL-cholesterol), FFA(free fatty acid), and Fc(free cholesterol), while the amount of AST and ALT was inhibited. The application of Leonuri Semen brought about the decrease of the total cholesterol and Fc, the increase of TG, HDLc, and FFA, and the significant decrease of the activation of AST. Leonuri Herba had only a weak effect on hypercholesterolemia, while Leonuri Semen had a strong effect on the reduction of the symptoms of hypercholesterolemia. Conclusion:Based on the fact that Leonuri Herba had only a weak effect on hypercholesterolemia, while Leonuri Semen had a strong effect on the reduction of the symptoms of hypercholesterolemia, it is concluded that Leonuri Semen is a better solution for hypercholesterolemia than Leonuri Herba.

Fluid-structure interaction problems solution by operator split methods and efficient software development by code-coupling

  • Ibrahimbegovic, Adnan;Kassiotis, Christophe;Niekamp, Rainer
    • Coupled systems mechanics
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    • v.5 no.2
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    • pp.145-156
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    • 2016
  • An efficient and general numerical strategy for fluid-structure interaction problems is presented where either the fluid or the structure part are represented by nonlinear models. This partitioned strategy is implemented under the form of code coupling that allows to (re)-use previous made developments in a more general multi-physics context. This strategy and its numerical implementation is verified on classical fluid-structure interaction benchmarks, and then applied to the impact of tsunamis waves on submerged structures.

Investigation of the effects of common and separate ground systems in wireless power transfer

  • Park, Woocheon;Moon, Jung-Ick;Cho, In-kui
    • ETRI Journal
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    • v.44 no.2
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    • pp.339-345
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    • 2022
  • This article presents an investigation of the effects on a grounding system of wireless power transfer (WPT) when transmitting over relatively far distances, that is, up to 1.25 m. Conventional two-coil WPT systems are sufficiently commercialized in strong coupling range, but it is important to accomplish the long-range WPT in weak coupling range for further various applications. This system depends on the coupling effect between the two coils that the grounds of the transmitting and receiving coils should be completely separated. However, when evaluating the performance of two-coil systems with the instrument consisting of two ports and one common ground, undesirable problems occur in weak coupling ranges, for example, obtaining disagreeable transmission efficiency and degrading system stability/reliability. We investigate the problems of the leakage power from common ground systems and provide a practical solution to obtain a reliable WPT system by using an isolation transformer. The usefulness of this approach is that it is possible to achieve the stability of the system with relatively far transmitting distances and to determine the exact transmission efficiency.

ON SUFFICIENCY AND DUALITY IN MULTIOBJECTIVE SUBSET PROGRAMMING PROBLEMS INVOLVING GENERALIZED $d$-TYPE I UNIVEX FUNCTIONS

  • Jayswal, Anurag;Stancu-Minasian, I.M.
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.111-125
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    • 2012
  • In this paper, we introduce new classes of generalized convex n-set functions called $d$-weak strictly pseudo-quasi type-I univex, $d$-strong pseudo-quasi type-I univex and $d$-weak strictly pseudo type-I univex functions and focus our study on multiobjective subset programming problem. Sufficient optimality conditions are obtained under the assumptions of aforesaid functions. Duality results are also established for Mond-Weir and general Mond-Weir type dual problems in which the involved functions satisfy appropriate generalized $d$-type-I univexity conditions.

CONVERGENCE OF VISCOSITY APPROXIMATIONS TO FIXED POINTS OF NONEXPANSIVE NONSELF-MAPPINGS IN BANACH SPACES

  • Jung, Jong-Soo
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.81-95
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    • 2008
  • Let E be a uniformly convex Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm, C a nonempty closed convex subset of E, and $T\;:\;C\;{\rightarrow}\;E$ a nonexpansive mapping satisfying the weak inwardness condition. Assume that every weakly compact convex subset of E has the fixed point property. For $f\;:\;C\;{\rightarrow}\;C$ a contraction and $t\;{\in}\;(0,\;1)$, let $x_t$ be a unique fixed point of a contraction $T_t\;:\;C\;{\rightarrow}\;E$, defined by $T_tx\;=\;tf(x)\;+\;(1\;-\;t)Tx$, $x\;{\in}\;C$. It is proved that if {$x_t$} is bounded, then $x_t$ converges to a fixed point of T, which is the unique solution of certain variational inequality. Moreover, the strong convergence of other implicit and explicit iterative schemes involving the sunny nonexpansive retraction is also given in a reflexive and strictly convex Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm.

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Polarographic Behavior of Cadmium-Tartrate Complexes in Weak Acid and Alkaline Media

  • Lee, Kyung-Ae;Choi, Q.-Won;Ha, Young-Gu;Choy, Jin-Ho;Kim, Ha-Suck
    • Bulletin of the Korean Chemical Society
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    • v.10 no.5
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    • pp.414-418
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    • 1989
  • The electrochemical behavior of cadmium(Ⅱ) in tartrate solution has been studied over the pH range of 6 to 13.6 in order to explain the phenomena of the changes in limiting current depending on the pH. The polarographic limiting current showed a constant value up to pH of 7.8, after which it decreased sharply to show a minimum at pH between 11 and 12. The limiting current, then, increased again with increasing pH. The number of peaks in cyclic voltammogram was 1 to 3 depending on the pH of the solution. Two other voltammetric peaks could be observed when the main reduction peak diminished. The decrease of limiting current at 7.5$Cd(C_4H_3O_6)^-$. The increase of limiting current at strong alkaline solution, however, was due to the complex $Cd(Tart)_2(OH)_2^{4-}$.

Meshless equilibrium on line method (MELM) for linear elasticity

  • Sadeghirad, A.;Mohammadi, S.;Kani, I. Mahmoudzadeh
    • Structural Engineering and Mechanics
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    • v.35 no.4
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    • pp.511-533
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    • 2010
  • As a truly meshfree method, meshless equilibrium on line method (MELM), for 2D elasticity problems is presented. In MELM, the problem domain is represented by a set of distributed nodes, and equilibrium is satisfied on lines for any node within this domain. In contrary to conventional meshfree methods, test domains are lines in this method, and all integrals can be easily evaluated over straight lines along x and y directions. Proposed weak formulation has the same concept as the equilibrium on line method which was previously used by the authors for enforcement of the Neumann boundary conditions in the strong-form meshless methods. In this paper, the idea of the equilibrium on line method is developed to use as the weak forms of the governing equations at inner nodes of the problem domain. The moving least squares (MLS) approximation is used to interpolate solution variables in this paper. Numerical studies have shown that this method is simple to implement, while leading to accurate results.