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Cohomology of flat vector bundles

  • Kim, Hong-Jong
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.391-405
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    • 1996
  • In this article, we calculate the cohomology groups of flat vector bundles on some manifolds.

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ON THE NONVANISHING OF TOR

  • Choi, Sang-Ki
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.785-790
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    • 1998
  • Using spectral sequences we calculate the hightest non-vanishing index of Tor for modules of finite projective dimension.

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A Study on Program Development for Static Design Factor of Automotive Suspension System (자동차 현가장치의 정적설계인자 계산을 위한 프로그램 개발에 관한 연구)

  • Kim, Kwang-Suk
    • Journal of the Korea Convergence Society
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    • v.8 no.12
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    • pp.283-289
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    • 2017
  • In this study, a general program has been developed to calculate the static design factor of a vehicle suspension system. The partial derivatives of Jacobians for constraint equations are calculated using the symbolic technique. In the commercial program, finite difference method is used to calculate the Jacobian matrix of Jacobian. But in this study, it is calculated by using the symbol calculation method to precisely consider it. The calculated Jacobian matrix for the system has proved its accuracy through the solution of the numerical example. A simulation was performed for a double wishbone suspension of a 1/4 vehicle. The result can be used to calculate the static design factor of the suspension, and also add a convergence module that can perform virtual tests.

Development of a Computer Program to Analyze Stability of Slopes Reinforced by the Earth Retention System (활동억지시스템으로 보강된 사면의 안정해석 프로그램 개발)

  • Hong Won-Pyo;Song Young-Suk
    • The Journal of Engineering Geology
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    • v.16 no.1 s.47
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    • pp.45-58
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    • 2006
  • A new computer program SLOPILE(Ver 3.0) is developed to analyze stability of slopes containing an earth retention system composing of piles, nails and anchors. SLOPILE(Ver 3.0) can calculate the slope stability for both planar failure surfaces in infinite slopes and arc failure surfaces. In order to investigate a design adaptability of SLOPILE(Ver 3.0), analysis results of TALREN and SLOPE/W programs are compared with that of SLOPILE(Ver 3.0). SLOPILE(Ver 3.0) can calculate the slopes reinforced by earth retention system such as piles, nails and anchors. But, TALREN and SLOPE/W can not calculate the slope reinforced by piles. As a analysis result of the example case, SLOPILE(Ver 3.0) is accuracy and suitable program for the stability analysis of slopes reinforced by earth retention system. Therefore, SLOPILE(Ver 3.0) is the most suitable program to analyze the slope reinforced by the earth retention system.