• Title/Summary/Keyword: Nonlinear equations

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3-D Finite Element Analysis of Superplastic Blow Forming (초소성재료의 압력성형에 관한 삼차원 유한요소해석)

  • Lee, Ki-Seok;Huh, Hoon
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.10a
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    • pp.55-63
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    • 1994
  • The analysis of superplastic sheet forming process is studied by the use of the finite element method using a convected coordinate system and a skew boundary condition. In the formulation, the large inelastic behavior of the superplastic material is described as incompressible, nonlinear, viscous flow. The formulation is then approximated to the finite dimensional space with the use of membrane elements, which results in algebraic linear equations. In addition to the finite element formulation, a pressure cycle control algorithm is combined in the analysis for optimization of the forming time, which deals with the maximization of the strain rate sensitivity, the protection of the thickness reduction, the consistency of the desired strain rate and improvement of formability.

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Prediction of the Forming Limit Diagram for AZ31B Sheet at Elevated Temperatures Considering the Strain-rate Effect (변형률속도 효과를 고려한 AZ31B 판재의 온간 성형한계도 예측)

  • Choi, S.C.;Kim, H.J.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.172-175
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    • 2009
  • The purpose of this study is to predict the forming limit diagram (FLD) of strain-rate sensitive materials on the basis of the Marciniak and Kuczynski (M-K) theory. The strain-rate effect is taken into consideration in such a way that the stress-strain curves for various strain-rates are inputted into the formulation as point data, not as curve-fitted models such as power function. To solve the nonlinear system of equations derived from the equilibrium and constraints in the groove region and the safe zone, the Newton-Raphson method is used. The theoretical FLDs using four different yield criteria, that are von Mises, Hill (1948), Hill (1979), Logan and Hosford, are compared with the experimental, numerical (FEA) and other theoretical results. A new trial is made where a modified M-K model having n-step grooves is introduced to describe a real localized neck.

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Heat and Mass Transfer Analysis of Phosphoric Acid Fuel Cell According to Variation of gas Flow passage (인산형 연료전지의 가스유로방향 변화에 따른 열 및 물질전달해석)

  • 전동협;정영식;채재우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.5
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    • pp.1338-1346
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    • 1994
  • The objective of this study is to investigate the effect of various parameters, such as temperature, mean current density and voltage on the performance of phosphoric acid fuel cell (PAFC) by numerical analysis. Two types of flow passages, which are Z-parallel type and Z-counter type, are evaluated to obtain the best current density and temperature distribution. Parametric studies and sensitivity analysis of the PAFC system's operation in single cell are accomplished. A steady state simulation of the entire system is developed using nonlinear ordinary differential equations. The finite difference method and trial and error procedures are used to obtain a solution.

On the design of a stewart platform-based universal hand-controller (스튜어트 플랫폼형 범용 수동조작기의 설계연구)

  • 김상범;최용제
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.150-160
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    • 1995
  • The practical design and construction of a Stewart Platform-based unilateral universal hand-controller is presented. It is also presented that such a design concept could be implemented by developing a technical method of determining the forward kinematics of a Stewart Platform in real time. In this work, the forward kinematics of a Stewart Platform has been determined in real time using three additional displacement sensors which eliminate the computational burden of solving the forward kinematics described in nonlinear simultaneous equations. The workspace of the Stewart Platform via inverse kinematics has been analyzed numerically and used as a design guide for the determination of the mechanism dimensions such as the sizes of the upper and base platforms and the minimum and maximum lengths of the legs. The hardware of the hand-controller has been constructed and tested to demonstrate the feasibility of the design concept.

Variable Structure Control Design of Windmill Power Systems

  • Long, Youjiang;Yamashita, Katsumi;Miyagi, Hayao
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.395-398
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    • 2000
  • The method of Variable Structure Control (VSC) design of windmill power systems is proposed. In the design of sliding mode control, we use Riccati equations arising in linear H$\^$$\infty$/ control to decide a stable sliding surface. Then the reachability to the sliding surface is realized by designing a nonlinear controller for the windmill power system. The capability of the proposed controller to damp out the oscillations of power and the robustness with respect to the system parameter variations and model errors are evaluated in the simulation study.

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Global Existence and Ulam-Hyers Stability of Ψ-Hilfer Fractional Differential Equations

  • Kucche, Kishor Deoman;Kharade, Jyoti Pramod
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.647-671
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    • 2020
  • In this paper, we consider the Cauchy-type problem for a nonlinear differential equation involving a Ψ-Hilfer fractional derivative and prove the existence and uniqueness of solutions in the weighted space of functions. The Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the Cauchy-type problem is investigated via the successive approximation method. Further, we investigate the dependence of solutions on the initial conditions and their uniqueness using 𝜖-approximated solutions. Finally, we present examples to illustrate our main results.

Static Strength Evaluation Equations of ㄱType Perfobond Rib Shear Connectors (ㄱ형 perfobond 리브 전단열결재의 정적 강도평가식)

  • Lee Heung-Su;Chung Chul-Hun;Sohn You-Shik
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05a
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    • pp.451-454
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    • 2005
  • The ㄱ type perfobond rib shear connector is a ㄱ type flat steel plate with a number of holes punched through. This connector can be effectively used in girder with high shear. The ㄱ type perfobond rib shear connector exhibit very stiff behaviour under service load conditions and also had the characteristic of retaining a significant amount of load after the attainment of ultimate capacity. A regression analysis, which is based on a model that takes into account the contributions of concrete dowels formed by the rib holes, the transverse reinforcement, the strength of concrete in front of the rib, and the ㄱ type plate as well as a nonlinear finite element analysis, is used in the derivation. An empirical equation for the design of ㄱ type perfobond rib shear connector is proposed.

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Pull - out Capacity of Ground Anchor in Weathered Rock (풍화암 지반에 정착된 앵커의 인발저항 특성)

  • 이승환;황의석;이봉열;김학문
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.10a
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    • pp.435-442
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    • 2002
  • Fluid Confirmation Tests(FCT) on 1500 ground Anchors install in weathered rock were carried out to investigate upper and lower limit of elastic elongation, frictional resistant of fixed anchor body, mobilized angle between anchor body and soil. All the measured data were analysed and compared with theoretical equations. The frictional angles of diaphragm wall and anchorage system in weathered rock showed nonlinear curve between upper and lower limit of standard elongation. The FCT results indicated that the frictional resistant angles increased with higher values of surcharge load. The quality assurance on the fixed anchor location was investigated by means of measuring elastic elongation during the FCT, and comparing these with theoretical design length, the quality of anchors in this particular site found to be above average standard. The results of this research works with provide valuable guide line on quality assurance of anchors system as well as resonable prediction of friction resistance between the fixed anchor body and the weathered rock.

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Adsorption Characteristic of Hydrogen and Methane on Activated Carbon (활성탄에 대한 수소화 메탄의 흡착특성)

  • Jin, Yinzhe;Choi, Dae-Ki;Row, Kyung-Ho
    • Journal of Hydrogen and New Energy
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    • v.16 no.4
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    • pp.307-314
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    • 2005
  • In this work, a static volumetric method was experimentally implemented to measure the adsorption isotherm of hydrogen and methane by the activated carbon. The equilibrium data of stationary phase and mobile phase were correlated into the Langmuir, Freundlich, Langmuir-Freundlich, and Toth isotherms, respectively. In addition, the comparison between prediction and experimental data was made. By a nonlinear regression analysis, the experimental parameters in the equilibrium isotherms were estimated and compared. Then, the linear and quadratic equations for pressure and temperature to adsorption amounts were expressed. The adsorption amounts were increased with the pressure increase and the temperature decrease.

Sensorless Vector Control of IPMSM Using Reduced Order Observer (저감 차수 관측기를 이용한 IPMSM의 센서리스 벡터제어)

  • Lee, Hong-Gyun;Lee, Jung-Chul;Chung, Dong-Hwa
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.52 no.4
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    • pp.161-166
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    • 2003
  • This paper proposes a sensorless vector control of interior permanent magnet synchronous motor(IPMSM) using a reduced order observer. This method introduce the auxiliary control inputs that can eliminate the nonlinear term in the electrical equations and realize the linearization of the motor model. The rotor speed estimate with the observer that needs only the q-axis current. The rotor position calculate using the estimated rotor speed. The speed and position control implement with the estimated value. The validity of the proposed scheme is confirmed by various response characteristics.