• Title/Summary/Keyword: cone theory

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Uncertainy Analysis of Shear Strength Characteristics of Marine Soils (해성점토의 강도특성에 대한 불확실성 분석)

  • 이강운;채영수;윤길림;백세환
    • Proceedings of the Korean Geotechical Society Conference
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    • 2001.03a
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    • pp.215-222
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    • 2001
  • Uncertainty study of shear strength characteristics of the marine clays was carried out based ell In-situ tests and laboratory tests on tile south-east coastal region of the Korean peninsula. Theoretical analyses were studied using both tile spherical cavity expansion theory in finite soil mass and the strain path method to determine tile cone factor using the undrained shear strengths obtained by in-situ tests, and the empirical methods in accordance with the ultimate resistance theory were also discussed. Analysis show that the empirical methods suggest more reasonable value than that of theoretical methods in terms of comparing the cone factor estimated using linear regression and frequency distribution analyses. The cone factors obtained by the empirical methods are 18, 15, and 6 respectively, from the results of total cone resistance, effective cone resistance, and excess porewater cone resistance method, and the estimated were similar to those of previous researcher's.

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Torsional vibration analysis of bi-directional FG nano-cone with arbitrary cross-section based on nonlocal strain gradient elasticity

  • Noroozi, Reza;Barati, Abbas;Kazemi, Amin;Norouzi, Saeed;Hadi, Amin
    • Advances in nano research
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    • v.8 no.1
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    • pp.13-24
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    • 2020
  • In this paper, for the first time based on the nonlocal strain gradient theory the effect of size dependency in torsional vibration of bi-direction functionally graded (FG) nonlinear nano-cone is study. The material properties were assumed to vary according to the arbitrary function in radial and axial directions. The Navier equation and boundary conditions of the size-dependent bidirectional FG nonlinear nano-cone were derived by Hamilton's principle. These equations were solved by employing the generalized differential quadrature method (GDQM). The presented model can turn into the classical model if the material length scale parameters are taken to be zero. The effects of some parameters, such as inhomogeneity constant, cross-sectional area parameter and small-scale parameters, were studied. As an essential result of this study can be stated that an FG nano-cone model based on the nonlocal elasticity theory behaves softer and based on the strain gradient theory behaves harder.

FIXED POINT THEOREMS FOR GENERALIZED NONEXPANSIVE SET-VALUED MAPPINGS IN CONE METRIC SPACES

  • Kim, Seung-Hyun;Lee, Byung-Soo
    • East Asian mathematical journal
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    • v.27 no.5
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    • pp.557-564
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    • 2011
  • In 2007, Huang and Zhang [1] introduced a cone metric space with a cone metric generalizing the usual metric space by replacing the real numbers with Banach space ordered by the cone. They considered some fixed point theorems for contractive mappings in cone metric spaces. Since then, the fixed point theory for mappings in cone metric spaces has become a subject of interest in [1-6] and references therein. In this paper, we consider some fixed point theorems for generalized nonexpansive setvalued mappings under suitable conditions in sequentially compact cone metric spaces and complete cone metric spaces.

Study on Design of Cone-Shaped Magnetic Bearing Spindle System for High Speed Internal Grinding (고속 내면 연삭기 주축용 원추형 자기베어링 설계 연구)

  • 노승국;경진호;박종권;최언돈;양승준;이재응;김남용;이동주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.79-83
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    • 2001
  • A cone-shaped active magnetic bearing spindle system for high speed internal grinding is designed and tested. The cone-shaped AMB system consists of only 4 couples of magnet, it can be smaller and lighter than conventional radial-axial-type AMB system. In this paper, the cone-shaped electromagnets are designed by magnetic circuit theory, and de-coupled direct feedback PID controller is applied to control the coupled magnetic bearings. The designed cone-shaped AMB spindle system is built and constructed with a digital control system, and tested its stbility and dynamic performances. As the results of the tests, this spindle runs up to 40,000 rpm with about 5 ${\mu}{\textrm}{m}$ of runout, and the AMB system provides high damping ratio eliminating overshoot and resonance speed.

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Theoretical Study on the Conformations of Homooxacalix[4]arenes

  • Ham, Si-Hyun
    • Bulletin of the Korean Chemical Society
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    • v.25 no.12
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    • pp.1911-1916
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    • 2004
  • The conformational preference of tetrahomodioxacalix[4]arenes with three different para substituents on the phenolic ring has been investigated by using ab initio molecular orbital theory (RHF/6-31$G^{\ast}$) and density functional theory (B3LYP/6-31$G^{\ast}$). The stability order is predicted to be cone > C-1,2-alternate > partial cone > 1,3-alternate > COC-1,2-alternate. The distorted cone conformation is found to be most stable in a gas phase and the calculated results are in agreement with the reported $^1$H NMR and X-ray experimental observations. The substitution of methylene with dimethyleneoxa bridges increases the size of the annulus of the molecule, its conformational mobility, and the number of hydrogen bonding patterns. The thermodynamic stability and the conformational characteristics of tetrahomodioxacalix[4]arenes are discussed in regards of the number of phenolic hydrogen bonding patterns and the polarity of a molecule. The substituent effects on the para position of the phenolic ring are also introduced.

Electron Microburst Generation by Wave Particle Interaction

  • Lee, Jae-Jin;Hwang, Jung-A;Parks, George K.;Min, Kyoung-Wook;Lee, En-Sang
    • Bulletin of the Korean Space Science Society
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    • 2009.10a
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    • pp.43.2-43.2
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    • 2009
  • Electron microbursts are the intense electron precipitation which durations are less than one second. We measured the energy spectra of the microbursts from 170 keV to 340 keV with solid state detectors aboard the low-altitude (680km), polar-orbiting Korean STSAT-1 (Science and Technology SATellite). The data showed that the loss cone at these energies is empty except when microbursts abruptly appear and fill the loss cone in less than 50 msec. This fast loss cone filling requires pitch angle diffusion coefficients larger than ~ 10-2rad2/sec, while ~10-5 rad2/sec was proposed by a wave particle interaction theory. We recalculated the diffusion coefficient, and reviewed of electron microburst generation mechanism with test particle simulations. This simulation successfully explained how chorus waves make pitch angle diffusion within such short period. From considering the resonance condition between wave and electrons, we also showed ~ 100 keV electrons could be easily aligned to the magnetic field, while ~ 1MeV electrons filled loss cone partially. This consideration explained why precipitating microbursts have lower e-folding energy than that of quasi-trapped electrons, and supports the theory that relativistic electron microbursts that have been observed by satellite in-situ measurement have same origin with ~100 keV electron microbursts that have been usually observed by balloon experiments.

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A INSULATING DESIGN OF $SF_6$ GAS SEALING END OF CONDENSER CONE TYPE USED FOR 345KV OF CABLE (콘덴서 콘 방식의 345KV OF 케이블용 $SF_6$ 가스중 종단접속함의 절연 설계)

  • Kim, H.J.;Lee, S.C.;Oh, O.J.;Lee, H.S.
    • Proceedings of the KIEE Conference
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    • 1994.07b
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    • pp.1553-1555
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    • 1994
  • In this paper, we describes the research in condenser cone of $SF_6$ gas sealing end for 345KV oil-filled cable. The designed of condenser cone based on the results electric field analysis by electrostatics theory ana FEM. As a results. we have been designed the condenser cone and the inner insulation part of $SF_6$ seating end, the width and length, the number of condenser, the length of stress relief slope, the total length of condenser cone.

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Development of Alternative Interpolation method of CPT Data using Fractal Theory (플랙탈 이론을 활용한 콘관입시험 결과의 새로운 보간법 개발)

  • Yu, Chan;Jung, Sung-Mo;Jung, Kyoung-Sik
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.179-188
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    • 2006
  • In this study, R/S analysis which was proposed by Mandelbrot & Wallis(1969) was applied to evaluate the presence of the fractal property in the cone tip resistance of in-situ CPT data. Hurst exponents(H) were evaluated in the range of $0.660\sim0.990$ and the average was 0.875. It was confirmed that a cone tip resistance data had the characteristic of fractals and it was expected that cone tip resistance data sets are well approximated by a fBm process with an Hurst exponent near 0.875. It was also observed that the boundary between layers were obviously identified as a result of R/S analysis and it will be usage in practices.

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A STUDY ON THE DESIGN, JOINTING, CHARACTERISTIC OF CONDENSER CONE OF SEALING-END FOR 154KV OF CABLE (154KV OF 종단 접속함용 CONDENSER CONE의 설계.접속.특성에 관한 연구)

  • Lee, H.S.;Oh, E.J.;Lee, K.B.
    • Proceedings of the KIEE Conference
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    • 1993.07b
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    • pp.621-623
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    • 1993
  • This paper describes the research in condenser cone of sealing-end for 154kV oil-filled underground cable. We conducted the design based on the results of electric field analysis by electrostatics theory and FEM. In case that condenser cone type EB-A was compared with bell mouth type EB-A, the results of the AC and lightening impulse voltage test showed improvment of 10 percents.

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