• Title/Summary/Keyword: piecewise linear function

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Modeling of Non-linear Leaf Spring for Commercial Vehicle (상용차량의 비선형 Hotchkiss 스프링 모델링)

  • 유승환;김영배
    • Korean Journal of Computational Design and Engineering
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    • v.7 no.1
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    • pp.1-8
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    • 2002
  • A Hotchkiss spring has been widely utilized for commercial vehicle. Usually, the Hotchkiss spring has non-linear characteristics, i.e. it has a piecewise spring stiffness as well as hysterisis phenomenon. Therefore, the modeling of the Hotchkiss spring requires many considerations to fulfill satisfactory vehicle kinematic and dynamic relationships. Also, the spring has difficulties in modeling for presenting contact mechanism. In this paper, the modeling technique for the Hotchkiss spring has been descried. The modeling covers non-linear characteristics as well as contact problems for multi-body dynamic simulation. The force-displacement results are compared with experimental and FEM ones. Also, the comparison between three link type leaf spring model and proposed one has been considered in this paper.

New Stability Analysis of a Single Link TCP Vegas Model

  • Park, Poo-Gyeon;Choi, Doo-Jin;Choi, Yoon-Jong
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2430-2434
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    • 2003
  • This paper provides a new approach to analyze the stability of TCP Vegas, which is a kind of feedback-based congestion control algorithm. Whereas the conventional approaches use the approximately linearized model of the TCP Vegas along equilibrium points, this approach uses the exactly characterized dynamic model to get a new stability criterion via a piecewise and delay-dependent Lyapunov-Krasovskii function. Especially, the resulting stability criterion is formulated in terms of linear matrix inequalities (LMIs). Using the new criterion, this paper shows that the current TCP Vegas algorithm is stable in the sufficiently wide region of network delay and link capacity.

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AGE-TIME DISCONTINUOUS GALERKIN METHOD FOR THE LOTKA-MCKENDRICK EQUATION

  • Kim, Mi-Young;Selenge, T.S.
    • Communications of the Korean Mathematical Society
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    • v.18 no.3
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    • pp.569-580
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    • 2003
  • The Lotka-McKendrick equation which describes the evolution of a single population under the phenomenological conditions is developed from the well-known Malthus’model. In this paper, we introduce the Lotka-McKendrick equation for the description of the dynamics of a population. We apply a discontinuous Galerkin finite element method in age-time domain to approximate the solution of the system. We provide some numerical results. It is experimentally shown that, when the mortality function is bounded, the scheme converges at the rate of $h^2$ in the case of piecewise linear polynomial space. It is also shown that the scheme converges at the rate of $h^{3/2}$ when the mortality function is unbounded.

Economic Selection of Specification Limits for a Given Target Value (공정평균(工程平均)의 목표치(目標値)가 주어진 경우 규격한계(規格限界)의 경제적(經濟的) 선정(選定))

  • Riew, Moon-Charn
    • Journal of Korean Institute of Industrial Engineers
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    • v.15 no.2
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    • pp.57-64
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    • 1989
  • An Economic selection of specification limits is considered for a given target value in a complete inspection plan. Each item is inspected, and if it meets the specification, it is accepted. Items less than the lower specification limit are scrapped or sold at a reduced price, and those greater than the upper specification limit are reworked. Cost factors to be considered are economic loss caused by quality deviations, rework cost and scrapping cost. Methods for finding the optimal specification limits are given for the cases of piecewise linear loss function and quadratic loss function with illustrative examples.

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An Approximate Analytical Solution to the Ideal Adiabatic Model of Stirling Engines (스터링기관의 이상적인 단열모델에 대한 해석적 근사해)

  • 유호선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.1
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    • pp.172-178
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    • 1990
  • To predict the qualitative performance characteristics of Stirling Engines, an analytical approach to the Ideal Adiabatic Model set up by Urieli et al. has been treated. First, volume variations of both the expansion and the compression cylinders are approximated to piecewise linear function of the crank angle, which make it possible to specify the mass flow direction of each cylinder a priori to solve a set of basic equation. In consequences, an engine cycle can be considered as a combination of 4-type fundamental process. For each process, pressure is obtained as a solution of the algebraic equation. Application of the cyclic steady condition to the whole cycle completes the analysis. Further investigations result in analytical expressions for cyclic heat and work in terms of dependent variables determined from the pressure. The results are expected useful in establishing the preliminary design conditions of Stirling Engines.

Experiments on Extraction of Non-Parametric Warping Functions for Speaker Normalization (화자 정규화를 위한 비정형 워핑함수 도출에 관한 실험)

  • Shin, Ok-Keun
    • The Journal of the Acoustical Society of Korea
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    • v.24 no.5
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    • pp.255-261
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    • 2005
  • In this paper. experiments are conducted to extract a set of non-Parametric warping functions to examine the characteristics of the warping among speakers' utterances. For this Purpose. we made use of MFCC and LP spectra of vowels in choosing reference spectrum of each vowel as well as representative spectra of each speaker. These spectra are compared by DTW to give the warping functions of each speaker. The set of warping functions are then defined by clustering the warping functions of all the speakers. Noting that male and female warping functions have shapes similar to Piecewise linear function and Power function respectively, a new hybrid set of warping functions is defined. The effectiveness of the extracted warping functions are evaluated by conducting phone level recognition experiments, and improvements in accuracy rate are observed in both warping functions.

A Wong-Zakai Type Approximation for the Multiple Ito-Wiener Integral

  • Lee, Kyu-Seok;Kim, Yoon-Tae;Jeon, Jong-Woo
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.05a
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    • pp.55-60
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    • 2002
  • We present an extension of the Wong-Zakai type approximation theorem for a multiple stochastic integral. Using a piecewise linear approximation $W^{(n)}$ of a Wiener process W, we prove that the multiple integral processes {${\int}_{0}^{t}{\cdots}{\int}_{0}^{t}f(t_{1},{\cdots},t_{m})W^{(n)}(t_{1}){\cdots}W^{(n)}(t_{m}),t{\in}[0,T]$} where f is a given symmetric function in the space $C([0,T]^{m})$, converge to the multiple Stratonovich integral of f in the uniform $L^{2}$-sense.

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A Joint Design of Rectifying Inspection Plans and Service Capacities for Multi-Products (복수제품의 선별검사 및 서비스시스템의 설계)

  • Kim, Sung-Chul
    • Journal of the Korean Operations Research and Management Science Society
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    • v.35 no.1
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    • pp.97-109
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    • 2010
  • In this paper, we study a joint design problem of sampling inspections and service capacities for multi-products. Products are supplied in batches after rectifying inspections, that is, rejected lots are 100% inspected and defective products are reworked to good ones. When supplied, all defective products are uncovered through total inspection and returned to service. By exploiting the first and second order properties of the objective function, we identify the optimal inspection policies and service capacities for individual products, and develop allocation algorithms to obtain an optimal allocation of the limited total service capacity to products with the small number of computations.

A Study on the Congestion Management by OPF in the Electricity Power Market with the Bidding Function (입찰함수에 의한 전력거래에서의 최적조류 계산에 의한 혼잡비용 처리연구)

  • Kim, Gwang-Ho;Jeong, Jae-Ok
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.8
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    • pp.374-379
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    • 2000
  • The nodal marginal cost and the congestion charge are used as the econimic signals for the electricity price and new invetments in deregulated power systems. In this paper, the nodal marginal cost and the congestion charge are calculated by using the shadow prices resulted from the calculation of Optimal Power Flow(OPF). Linearization of inequality constraints and piecewise linear cost functions make an OPF problem LP-based forms. In order to use the shadow price, the Interior Point(IP) algorithm is applied as a solution technique to the formulation. This paper proposes an algorithm to determine efficients initial points which are guaranteed to be interior points.

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A Semi-Implicit Method for the Analysis of Two-Dimensional Fluid Flow with Moving Free Surfaces

  • Lee, Woo-Il;Park, Jong-Sun;Kim, Min-Soo;Lee, Joon-Sik
    • Journal of Mechanical Science and Technology
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    • v.16 no.5
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    • pp.720-731
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    • 2002
  • Flow with moving free surfaces is analyzed with an the Eulerian coordinate system. This study proposes a semi-implicit filling algorithm using VOF in which the PLIC (Piecewise Linear Interface Calculation) -type interface reconstruction method and the donor-acceptor-type front advancing scheme are adopted. Also, a new scheme using extrapolation of the stream function is proposed to find the velocity of the node that newly enters the computational domain. The effect of wall boundary conditions on the flow field and temperature field is examined by numerically solving a two-dimensional casting process.