• Title/Summary/Keyword: Spherical distribution

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Buckling Analysis of Spherical Shells that Rigidity-Distribution has Periodicity (강성분포가 주기성을 갖는 구형쉘의 좌굴해석)

  • Park, Sang-Hoon
    • Journal of Korean Association for Spatial Structures
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    • v.2 no.4 s.6
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    • pp.45-52
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    • 2002
  • Research about spherical shells been applying most usually is achieved by many investigators already and generalized equation has been derived. But, existent research is limited in case that spherical shell's roof rigidity is isotropy or orthotropy, and research that consider periodicity of rigidity-distribution that can happen by doing spherical shell's roof system by lattice system is not gone entirely. The purpose of this paper is applying Galerkin method to spherical shell that model periodicity of roof rigidity distribution that appear by roof lattice form of large space structure and develop structural analysis program that formularize. Rigidity-model of this research selects that of spherical shell which has 2-way grid. In this paper, buckling-strength and deformation distribution of isotopic spherical shell and 2-way grid spherical shell obtained by developed program could confirm the reliability by comparison with result of existent research.

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Buckling Analysis of Spherical Shells With Periodic Stiffness Distribution (주기적인 강성분포를 갖는 구형쉘의 좌굴해석)

  • Jung, Hwan-Mok
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.4 s.14
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    • pp.77-84
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    • 2004
  • Researches on spherical shell which is most usually applied have been completed by many investigators already and generalized numerical formula was derived. But the existent researches are limited to those on spherical shell with isotropic or orthotropic roof stiffness, periodic distribution of roof stiffness that can be caused by spherical and latticed roof system is not considered. Therefore, the object of this study is to develop a structural analysis program to analyze spherical shells that have periodicity of roof stiffness distribution caused by latticed roof of large space structure, grasp buckling characteristics and behavior of structure.

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Buckling Analysis of Spherical Shells With Periodic Stiffness Distribution According to Shape Parameter (강성분포가 주기성을 갖는 구형쉘의 형상계수에 따른 좌굴해석)

  • Park, Sang-Hoon;Suk, Chang-Mok;Jung, Hwan-Mok;Kwon, Young-Hwan
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.169-175
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    • 2004
  • Researches on spherical shell which is most usually applied have been completed by many investigators already and generalized numerical formula was derived. But the existent researches are limited to those on spherical shell with isotropic or orthotropic roof stiffness, periodic distribution of roof stiffness that can be caused by spherical and latticed roof system is not considered. Therefore, this paper is to develop a structural analysis program to analyze spherical shells that have periodicity of roof stiffness distribution caused by latticed roof of large space structure, grasp buckling characteristics and behavior of structure.

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A Simple Chi-Squared Test of Spherical Symmetry

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.227-236
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    • 2005
  • A chi-squared test of spherical symmetry is suggested. This test is easy to apply in practice since it is easy to compute and has a limiting chi-squared distribution under spherical symmetry. The result of Park(1998) can be used to show that it has the limiting chi-squared distribution. A simulation study is conducted to study the accuracy, in finite samples, of the limiting distribution. Finally, a simulation study that compares the power of our test with those of other tests of spherical symmetry is performed.

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A Test Based on Euler Angles of a Rotationally Symmetric Spherical Distribution

  • Shin, Yang-Kyu
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.67-77
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    • 1999
  • For a orientation-shift model supported on the unit sphere, Euler angles are the conventional measure to parametrize orientation-shifts. The essential role which is played by rotationally symmetry of an underlying distribution is reviewed. In this paper we propose the inference procedure based on Euler angles for the rotationally symmetric spherical distribution. The likelihood ratio test(LRT) based on the Euler angles is worked out. The asymptotic distribution of the test under the null hypotheses and certain contiguous alternatives is obtained.

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A Note on Eigen Transformation of a Correlation-type Random Matrix

  • Kim, Kee-Young;Lee, Kwang-Jin
    • Journal of the Korean Statistical Society
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    • v.22 no.2
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    • pp.339-345
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    • 1993
  • It is well known that distribution of functions of eigen values and vectors of a certain matrix plays an important role in multivariate analysis. This paper deals with the transformation of a correlation-type random matrix to its eigen values and vectors. Properties of the transformation are also considered. The results obtained are applied to express the joint distribution of eigen values and vectors of the correlation matrix when sample is taken from a m-variate spherical distribution.

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Stress Analysis of the S-CVT using Finite Element Method (FEM을 이용한 구체무단변속기의 응력해석)

  • Kim, J.Y.
    • Journal of Power System Engineering
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    • v.12 no.2
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    • pp.41-47
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    • 2008
  • This article deals with the stress analysis of the friction drive, which transmits the power via the rolling resistance on the contract area between the two rotating bodies. On the contact area, friction drives are normally involved with shear stress due to the transmitted force, as well as normal stress. Thus the stress analysis including the shear stress is necessary for the design of the friction drive. Hertzian results can be used to estimate the normal stress distribution and elastic deflection of the contact area, although the shear stress distribution is not well defined. In order to investigate the shear stress distribution and its effects in a friction drive, we have performed the stress analysis of the spherical continuously variable transmission(CVT) using finite element method. The spherical CVT is one of friction drives, which is used in small power applications. The numerical results show that the normal stress distribution is not affected by the transmitted shear force, and the maximal shear stress is increased in small amount along with the shear force.

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A Test for Spherical Symmetry

  • Park, Cheol-Yong
    • 한국데이터정보과학회:학술대회논문집
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    • 2005.04a
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    • pp.182-184
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    • 2005
  • In this study, we propose a chi-squared test of spherical symmetry. The advantage of this test is that the test statistic and its asymptotic p-value are easy to compute. A simulation study is conducted to study the accuracy, in finite samples, of the limiting distribution of the test statistic under spherical symmetry. The power of our test is compared with those of other tests for spherical symmetry in various alternative distributions via simulation.

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3D Magnetic Analysis of Permanent Magnets in Spherical Configuration

  • Oner, Yusuf;Kesler, Selami
    • Journal of Electrical Engineering and Technology
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    • v.11 no.1
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    • pp.93-99
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    • 2016
  • The present study aims to increase the amount of surface flux by changing the magnetic directions of a spherical magnet (NdFeB) consisting of four poles. For this purpose, the magnetic directions of quartile spherical slices constituting the spherical magnet are manipulated and their three-dimensional analyses are carried out by using finite-element method via Maxwell environment. The analysis of the magnetic quartile spheres with four different magnetic directions are compared to the each other, and then the quartile sphere with the best surface flux distribution is suggested for rotor structure. It is clear emphasized that the induced torque of the spherical motor, in which such a rotor is used, will be improved as well.

Temperature effect on spherical Couette flow of Oldroyd-B fluid

  • Hassan, A. Abu-El;Zidan, M.;Moussa, M.M.
    • Korea-Australia Rheology Journal
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    • v.19 no.4
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    • pp.201-209
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    • 2007
  • The present paper is concerned with non-isothermal spherical Couette flow of Oldroyd-B fluid in the annular region between two concentric spheres. The inner sphere rotates with a uniform angular velocity while the outer sphere is kept at rest. Moreover, the two spherical boundaries are maintained at fixed temperature values. Hence, the fluid is effect by two heat sources; namely, the viscous heating and the temperature gradient between the two spheres. The viscoelasticity of the fluid is assumed to dominate the inertia such that the latter can be neglected. An approximate analytical solution of the energy and momentum equations is obtained through the expansion of the dynamical fields in power series of Nahme number. The analysis show that, the temperature variation due to the external source appears in the zero order solution and its effect extends to the fluid velocity distribution up to present second order. Viscous heating contributes in the first and second order solutions. In contrast to isothermal case, a first order axial velocity and a second order stream function fields has been appeared. Moreover, at higher orders the temperature distribution depends on the gap width between the two spheres. Finally, there exist a thermal distribution of positive and negative values depend on their positions in the domain region between the two spheres.