• Title/Summary/Keyword: implicit theory

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Multiscale method and pseudospectral simulations for linear viscoelastic incompressible flows

  • Zhang, Ling;Ouyang, Jie
    • Interaction and multiscale mechanics
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    • v.5 no.1
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    • pp.27-40
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    • 2012
  • The two-dimensional incompressible flow of a linear viscoelastic fluid we considered in this research has rapidly oscillating initial conditions which contain both the large scale and small scale information. In order to grasp this double-scale phenomenon of the complex flow, a multiscale analysis method is developed based on the mathematical homogenization theory. For the incompressible flow of a linear viscoelastic Maxwell fluid, a well-posed multiscale system, including averaged equations and cell problems, is derived by employing the appropriate multiple scale asymptotic expansions to approximate the velocity, pressure and stress fields. And then, this multiscale system is solved numerically using the pseudospectral algorithm based on a time-splitting semi-implicit influence matrix method. The comparisons between the multiscale solutions and the direct numerical simulations demonstrate that the multiscale model not only captures large scale features accurately, but also reflects kinetic interactions between the large and small scale of the incompressible flow of a linear viscoelastic fluid.

Dynamic Analysis of a Moving Vehicle on Flexible Beam structures ( I ) : General Approach

  • Park, Tae-Won;Park, Chan-Jong
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.4
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    • pp.54-63
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    • 2002
  • In recent years, mechanical systems such as high speed vehicles and railway trains moving on elastic beam structures have become a very important issue to consider. In this paper, a general approach, which can predict the dynamic behavior of a constrained mechanical system moving on a flexible beam structure, is proposed. Various supporting conditions for the foundation support are considered for the elastic beam structure. The elastic structure is assumed to be a non-uniform and linear Bernoulli-Euler beam with a proportional damping effect. Combined differential-algebraic equation of motion is derived using the multi-body dynamics theory and the finite element method. The proposed equations of motion can be solved numerically using the generalized coordinate partitioning method and predictor-corrector algorithm, which is an implicit multi-step integration method.

Flood Analysis by Unsteady Flow on Tidal River Estuary (부정류에 의한 감조하천의 홍수분석)

  • 김현영
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.32 no.4
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    • pp.81-88
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    • 1990
  • The flow in a river reach where is influenced by tidal motion is characterized by unsteady flow. The flood analysis in the river reach needs depending upon the theory based on the complete unsteady flow equations. In this study the unsteady flow model which is called CRIUM (Channel Routing by Implicit Unsteady Flow Model) was developed and was applied to the Mankyong and Dongjin river in order to analyze the flood characteristics. The results, which were calibrated and verified by the flood records to be measured in the two rivers, show that unsteady flow mode] can be used for the derivation of the flood hydrograph. The peak flood discharges were estimated as 4,960 and $2,870m^3$/sec in 100 year frequency at the estuary of the Mankyong and Dongjin river, respectively. In addition, it was analyzed that the river reaches were not influenced by tidal motion when the discharge magnitude was larger than approximately $3,000m^3$/sec.

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An Analytical Study on Camshaft Locus at Camshaft Bearing in a Direct Acting OHC Valve Train System (직접 구동 OHC 밸브 트레인 캠 축의 운동 궤적 해석)

  • 지유철;조명래;정진영;최상현;한동철;최재권
    • Tribology and Lubricants
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    • v.13 no.4
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    • pp.53-59
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    • 1997
  • The camshaft locus at camshaft beating in a direct acting OHC valve train system has been investigated using the transient method. Forces applied to the camsfiaft are composed of two components, one is the transfer force between the cam and the tappet, the other is the frictional force. These forces have been calculated using the lumped mass model and the elastohydrodynamic lubrication theory. The alternating direction implicit method has been used for the numerical analysis of Reynolds equation, and 4th order Runge-Kutta method has been used for the transient journal locus analysis. The effects of various load conditions are presented in the form of journal locus. As a result of the analysis, it has been found that camshaft bearings were mainly in the hydrodynamic lubrication condition.

Direct Nonparametric Estimation of State Price Density with Regularized Mixture

  • Jeon, Yong-Ho
    • The Korean Journal of Applied Statistics
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    • v.24 no.4
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    • pp.721-733
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    • 2011
  • We consider the state price densities that are implicit in financial asset prices. In the pricing of an option, the state price density is proportional to the second derivative of the option pricing function and this relationship together with no arbitrage principle imposes restrictions on the pricing function such as monotonicity and convexity. Since the state price density is a proper density function and most of the shape constraints are caused by this, we propose to estimate the state price density directly by specifying candidate densities in a flexible nonparametric way and applying methods of regularization under extra constraints. The problem is easy to solve and the resulting state price density estimates satisfy all the restrictions required by economic theory.

Plane Strain Analysis of Sheet Metal with Arbitrary Forming Conditions (임의의 성형조건을 갖는 박판의 평면변형율 해석)

  • Keum, Y.T.;Lee, S.Y.;Wagoner, R.H.
    • Transactions of Materials Processing
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    • v.1 no.1
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    • pp.95-103
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    • 1992
  • The plane strain analysis for simulating the stretch/draw forming operation with an arbitrarily-shaped tool profile is introduced. An implicit, incremental, updated Lagrangian formulation with a rigid-viscoplastic constitutive equation is employed. Contact and friction are considered through the mesh-normal, which compatibly describes arbitrary tool surfaces and FEM meshes without depending on the explicit spatial derivatives of tool surfaces. The linear line elements are used for depicting the formed sheet, based on membrane approximation. The FEM formulation is tested in the sections of automotive inner panel and two-side draw-in. Not only the excellent agreement between measured and computed strains is obtained in the stretched section, but also the numerical stability of formulation is verified in the draw-in section.

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h-index, h-type Indices, and the Role of Corrected Quality Ratio

  • Tahira, Muzammil;Alias, Rose Alinda;Bakri, Arayti;Shabri, Ani
    • Journal of Information Science Theory and Practice
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    • v.2 no.4
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    • pp.20-30
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    • 2014
  • This study examines the foremost concerns related to most noted research performance index. The most popular and widely acceptable h-index underestimates the highly visible scientist, the middle order group, due to citation distribution issues. The study addresses this issue and uses 'Corrected Quality Ratio' (CQ) to check the implicit underpinnings as evident in h-index. CQ helps to incorporate the aspects of a good research performance indicator. This simple revision performs more intimately and logically to gauge the broader research impact for all groups and highly visible scientists with less statistical error.

An Economic Theory Study for Mutivariate Impacts of Fisheries Subsidies on Fishery Resources (수산자원에 대한 수산보조금의 다면적 영향에 관한 경제이론적 고찰)

  • LEE, Sang-Go;KWAK, In-Sup
    • Journal of Fisheries and Marine Sciences Education
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    • v.16 no.1
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    • pp.99-109
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    • 2004
  • This study analyzed the multivariate impacts of subsidies on the sustainability of fish stock using a dynamic bioeconomic modeling and fisheries resources economic approaches for understanding impacts of a subsidy on the sustainability of a fish stock. According to the results of analysis, the conclusion of former studies is true only there are imperfect control of fishing effort and enforcement under management rerime and under open access. However, if there are perfect control of effort and enforcement, the subsidies do not give any negative impacts on the sustainability of fish stock. Further, if even so-called bad subsidy is also provided necessarily in response to the condition of fishing industry and the characteristic of fishermen, it can give positive impacts on fishing income by which fishermen can improve their fishing condition.

An Estimation of Cost and Profit Functions under Cobb-Douglas Production Technology in the Coastal Fishing (Cobb-Douglas 생산기술특성하의 연안어선어업의 비용 및 이윤함수의 추정)

  • 김기수;강용주
    • The Journal of Fisheries Business Administration
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    • v.25 no.2
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    • pp.47-58
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    • 1994
  • This paper tries to estimate cost and profit functions under Cobb - Douglas production technology in the coastal fishing, using duality theory of production technology and cost function. Therefore this paper estimates in advance the production functions with two input variables, the number of working persons per tonage(WEMP) and the number of fishing equipment per tonage(WEQU). Then this paper estimates profit function and implicit cost function using the estimated coefficients from production functions. The results of this study show that the annual average profit pertonage of long bag set fishing and trap fishing amount to 4.1 million won and 3.9 million won respectively.

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A robust nonlinear mathematical programming model for design of laterally loaded orthotropic steel plates

  • Maaly, H.;Mahmoud, F.F.;Ishac, I.I.
    • Structural Engineering and Mechanics
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    • v.14 no.2
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    • pp.223-236
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    • 2002
  • The main objective of the present paper is to address a formal procedure for orthotropic steel plates design. The theme of the proposed approach is to recast the design procedure into a mathematical programming model. The objective function to be optimized is the total weight of the structure. The total weight is function of its layout parameters and structural element design variables. Mean while the proposed approach takes into consideration the strength and rigidity criteria in addition to other dimensional constraints. A nonlinear programming model is developed which consists of a nonlinear objective function and a set of implicit/explicit nonlinear constraints. A transformation method is adopted for minimization strategy, where the primal model constrained problem is transformed into a sequence of unconstrained minimization models. The search strategy is based on the well-known Fletcher/Powell algorithm. The finite element technique is adopted for discretization and analysis strategies. Mindlin theory is selected to simulate the finite element model and a selective reduced integration scheme is exploited to avoid a shear lock problem.