• Title/Summary/Keyword: Vector Equation

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A Behaviour of Clayey Foundation Using Elasto-plastic Constitutive Model -With an Emphasis on the Numerical Analysis of 2-dimensional Model Foundation- (탄.소성구성식에 의한 점토지반의 거동해석(II) -2차원 모형지반의 수치해석을 중심으로-)

  • 이윤수;이광동;오재화
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.36 no.1
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    • pp.83-94
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    • 1994
  • The first part of this study dealt with the determination of soil parameters for Lade's double work-hardening model using the raw data obtained from cubical and cylinderal triaxial tests At present, it should be investigated which test can simulated satisfactorily the behavior of soft clayey foundation. In this regard, plate bearing test on the 2-dimentional model foundation(218cm long, 40cm wide, 19&m high) was performed, and finite element analysis carried out to abtain the behavior of the foundation. Settlement, lateral displacement, displacement vector and mode of failure were measured and these values were compared with numerical values in order to validate the numerical program developed by authors. The FEM technique was based on Christain-Boehmer's method, in which the displacement is obtained at each nodal point while stress and pore water pressure at each element.In this research, Biot's equation, which explains was elahorately the phisical meaning of consolidation, was selected, as a governing equation, coupled with Lade's double surface work-hardening constitutive model.

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ON THE GEOMETRY OF THE MANIFOLD MEX2n

  • Yoo, Ki-Jo
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.3
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    • pp.475-487
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    • 2003
  • A generalized even-dimensional Riemannian manifold defined by the ME-connection which is both Einstein and of the form (3.3) is called an even-dimensional ME-manifold and we denote it by $MEX_{2n}$. The purpose of this paper is to study a necessary and sufficient condition that there is an ME-connection, to derive the useful properties of some tensors, and to investigate a representation of the ME-vector in $MEX_{2n}$.

Numerical Investigation of 2DCD Nozzle Flow Having a Secondary Jet Injection for Thrust Vector Control (추력벡터제어를 위한 이차 분사유동이 있는 2DCD 노즐 내부의 수치적 연구)

  • Lee JinGyu;Chang KeunShik
    • 한국전산유체공학회:학술대회논문집
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    • 2002.10a
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    • pp.17-22
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    • 2002
  • A numerical solution procedure has been developed to analyze the flow field resulted from the injection of a transverse jet through the divergent flap of a 2DCD nozzle for thrust vector control. The formulation employs the compressible Navier-Stokes equations in conservation law form and a two equation $\kappa-\omega$ turbulence model. Detailed numerical results are presented in this paper for the 2DCD nozzle over a range of secondary to primary injection mass flow ratios and nozzle pressure ratios.

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Computer Algorithm for the Loadflow of the DC Traction Power Supply System (도시철도의 DC급전시스템 해석 알고리즘)

  • 정상기;홍재승
    • Proceedings of the KSR Conference
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    • 2000.05a
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    • pp.78-85
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    • 2000
  • Computer algorithms for the loadflow of the DC traction power supply system are examined. Algorithms to solve the nodal equation are reviewed and the two iterative methods to solve the nonlinear nature of the loadflow are analyzed and tested, which are so called conductance matrix method and current vector iterative mettled. The result of the analysis tells that the current vector iterative method makes faster convergency and needs less computing time, and it is verified by the test running of the programs based on each of the iterative methods.

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A Control Algorithm of Linear Induction Motor based on Indirect Vector Control (간접 벡터 제어에 근거한 선형유도전동기의 제어 알고리즘)

  • Lee, Jae-Hyun;Jeon, Mi-Rim;Mok, Hyung-Soo;Lee, Jin-Woo;Kim, Sang-Hoon;Kim, Chul-Ho;Chung, Eun-Sung
    • Proceedings of the KSR Conference
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    • 2008.11b
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    • pp.302-309
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    • 2008
  • This paper presents a vector control of Linear Induction Motor base on a slip frequency control. And a linear induction motor modeling included the end effect using circuit and equation method is also proposed. We demonstrated through simulation the improvements achieved by the proposed scheme.

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Numerical Solutions of Fractional Differential Equations with Variable Coefficients by Taylor Basis Functions

  • Kammanee, Athassawat
    • Kyungpook Mathematical Journal
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    • v.61 no.2
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    • pp.383-393
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    • 2021
  • In this paper, numerical techniques are presented for solving initial value problems of fractional differential equations with variable coefficients. The method is derived by applying a Taylor vector approximation. Moreover, the operational matrix of fractional integration of a Taylor vector is provided in order to transform the continuous equations into a system of algebraic equations. Furthermore, numerical examples demonstrate that this method is applicable and accurate.

Analysis of Frictional Contact Problems of Nonlinearly Deformable Bodies by Using Contact Error Vector (접촉 오차 벡터를 이용한 비선형 변형체의 마찰접촉 해석)

  • Lee, Kisu;Kim, Bang-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.3
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    • pp.305-319
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    • 2000
  • Numerical solution lot frictional contact problems of nonlinearly deformable bodies having large deformation is presented. The contact conditions on the possible contact points are expressed by using the contact error vector, and the iterative scheme is used to reduce the contact error vector monotonically toward zero. At each iteration the solution consists of two steps : The first step is to revise the contact force by using the contact error vector given by the previous geometry, and the second step is to compute the displacement and the contact error vector by solving the equilibrium equation with the contact force given at the first step. Convergence of the iterative scheme to the correct solution is analyzed, and the numerical simulations we performed with a rigid-plastic membrane and a nonlinear elastic beam.

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Current Dynamically Predicting Control of PMSM Targeting the Current Vectors

  • Sun, Hexu;Jing, Kai;Dong, Yan;Zheng, Yi
    • Journal of Electrical Engineering and Technology
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    • v.10 no.3
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    • pp.1058-1065
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    • 2015
  • This paper present a current predicting control method for PMSM (permanent magnet synchronous motor) to improve the tracking performance of stator current, which regards the current vector as the control target. Solving the model state equation in the static frame (α-β frame), the dynamic change of current vector will be gained as three independent terms. These change terms, which contain the prediction of current vector, are discretized and simplified by Taylor series expansion and used to get the voltage vector as the predictive control quantity. SVPWM will transform the control voltage to the switching signal of inverter, which is newly deduced for the current vector. Simulation and experiment results are given to testy and verify the performance of this method.