• Title/Summary/Keyword: Non-linear Equation

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Progressive Inelastic Deformation Characteristics of Cylindrical Structure with Plate-to-Shell Junction Under Moving Temperature Front

  • Lee, Hyeong-Yeon;Kim, Jong-Bum
    • Journal of Mechanical Science and Technology
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    • v.17 no.3
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    • pp.400-408
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    • 2003
  • A study on the progressive inelastic deformation behavior of the 316 L stainless steel cylindrical structure with plate-to-shell junction under moving temperature front was carried out by structural test and analysis. The structural test intends to simulate the thermal ratcheting behavior occurring at the reactor baffle of the liquid metal reactor as free surface of hot sodium pool moves up and down under plant transients. The thermal ratchet load that heats the specimen up to 550$^{\circ}C$ was applied repeatedly and residual deformation was measured. The thermal ratcheting test was carried out with two types of cylindrical structures, one with plate to-shell junction and the other without the junction to investigate the effects of the geometric discontinuities on the global ratcheting deformation. The temperature distributions of the test specimens were measured and were used for the ratcheting analysis. The ratchet deformations were analyzed with the constitutive equation of the non-linear combined hardening model. The analysis results were in good agreement with those of the structural tests.

Core-loss reduction on PM for IPMSM with concentrated winding (집중권을 시행한 영구자석 매입형 동기전동기의 철손 저감)

  • Lee, Hyung-Woo;Park, Chan-Bae;Lee, Byung-Song;Kim, Nam-Po
    • Proceedings of the KSR Conference
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    • 2011.10a
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    • pp.1832-1837
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    • 2011
  • This paper presents the optimal permanent magnet shape on the rotor of an interior permanent magnet motor to reduce the core losses and improve the performance. As permanent magnet has conductivity inherently, it causes huge amount of eddy current losses by the slot harmonics with concentrated winding. This loss is roughly 100 times larger than that of distributed winding in high speed operation and it cannot be ignored, especially on traction motors. Each eddy current loss on permanent magnet has been investigated in detail by using FEM(Finite Element Method) instead of EMCNM(Equivalent Magnetic Circuit Network Method) in order to consider saturation and non-linear magnetic property. Simulation-based DOE(Design Of Experiment) is also applied to avoid large number of analyses according to each design parameter and consider expected interactions among parameters. Consequently, the optimal design to reduce the core loss on the permanent magnet while maintaining or improving motor performance is proposed by an optimization algorithm using regression equation derived and lastly, the core loss reduction on the proposed shape of the permanent magnet is verified by FEM.

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Characteristics of a direct system parameter estimation method (시스템 매개변수 직접추정법의 특성)

  • Ju, Young-Ho;Jo, Gwang-Hwan;Lee, Gun-Myung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.9
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    • pp.1480-1490
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    • 1997
  • A method by which the system parameter matrices can be estimated from measured time data of excitation force and acceleration has been studied. The acceleration data are integrated numerically to obtain the velocities and displacements, and the systm parameters are estimated from these data by solving equations of motion. The characteristics of the method have been investigated through its application to simulated data of 1 DOF and 2 DOF systems and experimental data measured from a simple structure. It was found that the method is very sensitive to measurement noise and the accuracy of the estimated parameters can be improved by averaging the repeatedly measured data and removing the noise. One of the main advantages of the parameter estimation method is that no a priori information about the system under test is required. The method can be easily extended to non-linear parameter estimation.

Free Vibration Analysis of Elliptic Strip Foundation (타원형 띠기초의 자유진동 해석)

  • Lee Tae-Eun;Kang Hee-Jong;Kim Gwon-Sik;Lee Byoung-Koo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.548-555
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    • 2005
  • Since soil-structure interactions are one of the most important subjects in the structural/foundation engineering, much study concerning the soil-structure interactions had been carried out. One of typical structures related to the soil-structure interactions is the strip foundation which is basically defined as the beam or strip rested on or supported by the soils. At the present time, lack of studies on dynamic problems related to the strip foundations is still found in the literature. From these viewpoint, this paper aims to theoretically investigate dynamics of the elliptic strip foundations and also to present the practical engineering data for the design purpose. Differential equations governing the free, out-of-plane vibrations of such sap foundations we derived, in which effects of the rotatory and torsional inertias and also shear deformation are included although the warping of the cross-section is excluded. Governing differential equations subjected to the boundary conditions of free-free end constraints are numerically solved for obtaining the natural frequencies and mode shapes by using the numerical integration technique and the numerical method of non-linear equation.

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Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium

  • Akbas, Seref D.
    • Smart Structures and Systems
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    • v.18 no.6
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    • pp.1125-1143
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    • 2016
  • Forced vibration analysis of a simple supported viscoelastic nanobeam is studied based on modified couple stress theory (MCST). The nanobeam is excited by a transverse triangular force impulse modulated by a harmonic motion. The elastic medium is considered as Winkler-Pasternak elastic foundation.The damping effect is considered by using the Kelvin-Voigt viscoelastic model. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero. The considered problem is investigated within the Timoshenko beam theory by using finite element method. The effects of the transverse shear deformation and rotary inertia are included according to the Timoshenko beam theory. The obtained system of differential equations is reduced to a linear algebraic equation system and solved in the time domain by using Newmark average acceleration method. Numerical results are presented to investigate the influences the material length scale parameter, the parameter of the elastic medium and aspect ratio on the dynamic response of the nanobeam. Also, the difference between the classical beam theory (CBT) and modified couple stress theory is investigated for forced vibration responses of nanobeams.

CIP method on Triangular Meshes (비격자메쉬에서의 고차오더 대류 방정식 해결방법)

  • Heo, Nam-Bin;Ko, Hyeong-Seok
    • Journal of the Korea Computer Graphics Society
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    • v.15 no.1
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    • pp.1-6
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    • 2009
  • This paper presents a new CIP method for unstructured mesh to reduce the numerical dissipation. To reflect precise physical characteristics, CIP method updates both the physical quantity and the derivative information. The proposed method uses the Finite Volume Method(FVM) to solve the non-advection term of CIP equation. And we performed several experiments to improve the accuracy of third-order interpolation. Our result shows that our algorithm has less numerical dissipation than that of linear advection solver.

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Individual Determinants of Hospital Days m Community-dwelling Elders (지역사회 노인의 입원기간에 영향을 주는 개인요인의 분석)

  • Kim Jung Hee
    • Journal of Korean Public Health Nursing
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    • v.13 no.2
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    • pp.12-25
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    • 1999
  • This study examines individual determinants of hospital days in community-dwelling elders by estimating a linear structural equation model based upon Andersen's behavioral model. Data were collected through a national survey of elders in Korea in 1994. The subjects for this secondary data analysis were 1687 non-institutionalized elders aged 60 years or older. Except for the effect of age and gender on family help. the predisposing components had direct effects on the enabling components. Of the effects of the enabling components. family help had a direct effect on self-evaluated health; economic status had a direct effect on chronic disease and self-evaluated health; and access had a direct effect on chronic disease. functional health status and self-evaluated health. Of the enabling components. residence and family help directly affected hospital days. Self-evaluated health revealed the greatest direct effect on hospital days followed by functional health. Overall. the effects of the predisposing components and the enabling components on hospital days were not prominent. Since the model explained only $4\%$ of the variance in hospital days. the magnitude of the effect of the need components cannot be judged in terms of equity of distribution of health services. In particular. the effect of family help in the model reveals the importance of family support in health management of elders. The implications of these analyses for improving the proposed model of hospital days were discussed.

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Investigation on the Developing Turbulent Flow In a Curved Duct of Square Cross-Section Using a Low Reynolds Number Second Moment Turbulence Closure (2차모멘트 난류모형을 이용한 정사각 단면 곡덕트 내 발달하는 난류유동 변화에 대한 고찰)

  • Chun, Kun-Ho;Choi, Young-Don;Shin, Jong-Keun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.8
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    • pp.1063-1071
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    • 1999
  • Fine grid calculations are reported for the developing turbulent flow in a curved duct of square cross-section with a radius of curvature to hydraulic diameter ratio ${\delta}=Rc/D_H=3.357 $ and a bend angle of 720 deg. A sequence of modeling refinements is introduced; the replacement of wall function by a fine mesh across the sublayer and a low Reynolds number algebraic second moment closure up to the near wall sublayer in which the non-linear return to isotropy model and the cubic-quasi-isotropy model for the pressure strain are adopted; and the introduction of a multiple source model for the exact dissipation rate equation. Each refinement is shown to lead to an appreciable improvement in the agreement between measurement and computation.

Numerical Optimization of a Multi-blades Centrifugal Fan for High-efficiency Design (원심다익송풍기의 고효율 설계를 위한 수치최적설계)

  • Seo, Seoung-Jin;Kim, Kwang-Yong
    • The KSFM Journal of Fluid Machinery
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    • v.7 no.3 s.24
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    • pp.32-38
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    • 2004
  • Shape of a multi-blades centrifugal fan is optimized by response surface method based on three-dimensional Navier-Stokes analysis. For numerical analysis, Reynolds-averaged Navier-Stokes equations with standard $k-{epsilon}$ turbulence model are transformed into non-orthogonal curvilinear coordinate system, and are discretized with finite volume approximations. Due to the large number of blades in this centrifugal fan, the flow inside of the fan is regarded as steady flow by introducing the impeller force models for economic calculations. Optimizations with and without constraints are carried out. Design variables, location of cur off, radius of cut off, expansion angle of scroll and width of impeller were selected to optimize the shapes of scroll and blades. Data points for response evaluations were selected by D-optimal design, and linear programming method was used for the optimization on the response surface. As a main result of the optimization, the efficiency was successfully improved. The correlation of efficiency with relative size of inactive zone at the exit of impeller is discussed as well as with average momentum fluxes in the scroll.

Frequency determination for beam command in rotating phase and frequency scan radar systems (회전 위상-주파수 주사 레이다 시스템의 빔 명령을 위한 주파수 결정)

  • 이민준;박정순;송익호;김광순;장태주
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.5
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    • pp.1319-1324
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    • 1998
  • The phase and frequency commands of a ratating radar system that utilizes frequency scanning to steer the beam in the azimuth direction and phase shifters in the elevation direction are derived in terms of the angles of the groung based coordinate system. The antenna type considered is slotted arrays that are easy to construct at such high microwave frequency as the X band. The frequency that has non-linear characteristics as a functio ofthe elevation angle is plotted and the derived frequency equation is aproximated to be a simple form to reduce the calculation time for real time multi-function radar systems. It is shown that the approximated frequency command is in good agreement with the exact one if the range of azimuth scanning is limited by ${\pm}10^{\circ}$.

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