• Title/Summary/Keyword: 평균2승잔차법

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Dynamic Characteristics of Revolution Shells (회전쉘의 동적 특성에 관한 연구)

  • Park, Sung-Jin
    • Journal of the Society of Disaster Information
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    • v.10 no.1
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    • pp.123-140
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    • 2014
  • This paper proposes a simple and effective method for determining the dynamic characteristics of revolution shells. This is a weighted residual method in which the collocation points are taken at the roots of orthogonal polynomial. In this paper the collocation method is employed to replace a partical differential eqations by a system of ordinary differential equations in time, and the resulting equations are solved by two different numerical methods of time integration : an implicit method and an explicit method. The proposed approach is formulated in some detail. The versatility and accuracy are illustrated through several numerical examples. The method appears to be relatively easy to set up and gives satisfactory results.

Three-Dimensional Free Vibration Analysis of Orthotropic Plates (직교이방성판의 3차원 자유진동 해석에 관한 연구)

  • Park, Sung-Jin
    • Journal of the Society of Disaster Information
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    • v.10 no.1
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    • pp.1-14
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    • 2014
  • This paper presents the three-dimensional stress analysis of orthotropic thick plates using the three-dimensional spline strip method based on the theory of elasticity. The orthotropic plates are made of Aragonite crystal and sitka spruce. To demonstrate the convergence and accuracy of the present method, several examples are solved, and results are compared with those obtained by other exact and numerical methods based on the theory of elasticity. Good convergence and accuracy are obtained. The effects of thickness/width ratio, aspect ratio and boundary conditions on normal stress distributions of Aragonite crystal plates and sitka spruce plates are investigated. Moreover, the difference of weak orthotropic and strong orthotropic properties given to the characteristics of stress distributions are also shown.