• 제목/요약/키워드: spherical curve

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무거운 헤일로를 가진 구형 은하의 역학 모형 (DYNAMICAL MODELS OF SPHERICAL GALAXIES WITH MASSIVE HALO)

  • 천문석;고훈성;손영종
    • Journal of Astronomy and Space Sciences
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    • 제20권1호
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    • pp.63-82
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    • 2003
  • Schwarzschild의 선형 계획법을 사용하여 평형상태에서의 구형은하를 기술하는 비 충돌 볼쯔만 방정식의 일반적인 해를 얻었다. 이 계산으로부터 de Vaucouleurs의 광도 법칙을 만족하고 무거운 헤일로를 포함하는 등방성 구형은하의 존재를 확인할 수 있었다. 타원은하에서 속도 분산 곡선이 편평하거나 서서히 증가하는 현상은 암흑물질에 의한 질량대 광도비의 증가로 해석할 수 있다. 이런 경우 암흑물질의 밀도 분포는 core반경이 은하의 유효반경보다 훨씬 작은 값을 갖는다는 사실을 확인할 수 있었다.

임펄스전압에 의한 수증방전특성의 분석 (Analysis of Underwater Discharge Characteristics Caused by Impulse Voltages)

  • 최종혁;안상덕;이복희
    • 조명전기설비학회논문지
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    • 제22권2호
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    • pp.128-133
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    • 2008
  • 이 논문은 반구형 수조에 설치되어 있는 침전극과 구형전극에 표준뇌임펄스전압을 인가하였을 때 나타나는 수중 방전현상과 절연파괴특성을 나타낸다. 이 논문의 목적은 뇌서지에 대한 과도접지임피던스와 관련된 기본적인 특성을 파악하는데 있다. 인가전압의 극성과 물의 저항률에 따른 방전광을 촬영하였고 절연파괴전압의 의존성을 측정하였다. 침전극과 구형전극의 끝단에서 스트리머코로나가 발생하였고 접지된 수조를 향하여 단계적으로 진전하였다. 저항률에 따른 절연파괴전압은 V자 형태를 나타내며, 구형전극의 절연파괴전압-시간곡선이침전극보다 높게 나타났다.

구형 압입이론에 관한 고찰 (Some Remarks on the Spherical Indentation Theory)

  • 이진행;이형일;송원근
    • 대한기계학회논문집A
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    • 제25권4호
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    • pp.714-724
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    • 2001
  • In this work, some inaccuracies and limitation of prior indentation theory, which is based on the deformation theory of plasticity and experimental observations, are first investigated. Then effects of major material properties on the configuration of indentation load-deflection curve are examined via incremental plasticity theory based finite element analyses. It is confirmed that subindenter deformation and stress-strain distribution from the deformation theory of plasticity are quite dissimilar to those from incremental theory of plasticity. We finally suggest the optimal data acquisition location, where the strain gradient is the least and the effect of friction is negligible. This data acquisition point increases the strain range by a factor of five.

Torque Calculation Method of a Permanent Magnet Spherical Motor

  • Lee, Hyung-Woo;Kang, Dong-Woo;Lee, Ju
    • Journal of Electrical Engineering and Technology
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    • 제5권3호
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    • pp.431-434
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    • 2010
  • This paper presents the torque calculation method of a permanent magnet spherical motor. To calculate using the finite element method (FEM), three-dimensional (3D) FEM must be used. However, since the method requires excessive time and memory, an easier torque calculation method is hereby presented. In the proposed method, it is very important to obtain the approximation function of the torque profile curve. We present the approximation method of the torque profile curve and show that the torque calculation result can approximate the torque obtained by 3-D FEM.

Assessment of Equivalent Elastic Modulus of Perforated Spherical Plates

  • JUMA, Collins;NAMGUNG, Ihn
    • 한국압력기기공학회 논문집
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    • 제15권1호
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    • pp.8-17
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    • 2019
  • Perforated plates are used for the steam generator tube-sheet and the Reactor Vessel Closure Head in the Nuclear Power Plant. The ASME code, Section III Appendix A-8000, addresses the analysis of perforated plates, however, this analysis is only limited to the flat plate with a triangular perforation pattern. Based on the concept of the effective elastic constants, simulation of flat and spherical perforated plates and their equivalent solid plates were carried out using Finite Element Analysis (FEA). The isotropic material properties of the perforated plate were replaced with anisotropic material properties of the equivalent solid plate and subjected to the same loading conditions. The generated curves of effective elastic constants vs ligament efficiency for the flat perforated plate were in agreement with the design curve provided by ASME code. With this result, a plate with spherical curvature having perforations can be conveniently analyzed with equivalent elastic modulus and equivalent Poisson's ratio.

A semi-analytical solution to spherical cavity expansion in unsaturated soils

  • Tang, Jianhua;Wang, Hui;Li, Jingpei
    • Geomechanics and Engineering
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    • 제25권4호
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    • pp.283-294
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    • 2021
  • This paper presents a rigorous solution for spherical cavity expansion in unsaturated soils under constant suction condition. The hydraulic behavior that describes the saturation-suction relationship is modeled by a void ratio-dependent soil-water characteristic curve, which allows the hydraulic behavior to fully couple with the mechanical behavior that is described by an extended critical state soil model for unsaturated soil through the specific volume. Considering the boundary condition and introducing an auxiliary coordinate, the problem is formulated to a system of first-order differential equations with three principal stress components and suction as basic unknowns, which is solved as an initial value problem. Parameter analyses are conducted to investigate the effects of suction and the overconsolidation ratio on the overall expansion responses, including the pressure-expansion response, the distribution of the stress components around the cavity, and the stress path of the soil during cavity expansion. The results reveal that the expansion pressures and the distribution of the stress components in unsaturated soils are generally higher than those in saturated soils due to the existence of suction.

Spherical cavity expansion in overconsolidated unsaturated soil under constant suction condition

  • Wang, Hui;Yang, Changyi;Li, Jingpei
    • Geomechanics and Engineering
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    • 제29권1호
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    • pp.1-11
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    • 2022
  • A semi-analytical solution to responses of overconsolidated (OC) unsaturated soils surrounding an expanding spherical cavity under constant suction condition is presented. To capture the elastoplastic hydro-mechanical property of OC unsaturated soils, the unified hardening (UH) model for OC unsaturated soil is adopted in corporation with a soil-water characteristic curve (SWCC) and two suction yield surfaces. Taking the specific volume, radial stress, tangential stress and degree of saturation as the four basic unknowns, the problem investigated is formulated by solving a set of first-order ordinary differential equations with the help of an auxiliary variable and an iterative algorithm. The present solution is validated by comparing with available solution based on the modified Cam Clay (MCC) model. Parametric studies reveal that the hydraulic and mechanical responses of spherical cavity expanding in unsaturated soils are not only coupled, but also affected by suction and overconsolidation ratio (OCR) significantly. More importantly, whether hydraulic yield will occur or not depends only on the initial relationship between suction yield stress and suction. The presented solution can be used for calibration of some insitu tests in OC unsaturated soil.

The effect of fly ash/slag on the property of reactive powder mortar designed by using Fuller's ideal curve and error function

  • Hwang, C.L.;Hsieh, S.L.
    • Computers and Concrete
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    • 제4권6호
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    • pp.425-436
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    • 2007
  • This study is mainly focused on applying Fuller's ideal gradation curve to theoretically design blended ratio of all solid materials of a reactive powder mortar (RPM), also known as reactive powder concrete (RPC), with the aid of error function, and then to study the effect of fly ash/slag on the performance of RPM. The solid particle is assumed to be spherical particles. Then, the void volume of paste ($V_{\nu}$) and the paste content with specific quality can be obtained. As conclusion, under Fuller's ideal grading curve, the amount of fly ash/slag mixture is higher than that with silica fume along due to it better filled the void within solid particle and obtains higher packing density.