• Title, Summary, Keyword: Shallow Beam Geometry

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A 2-Node Strain Based Curved Beam Element (변형률에 근거한 2-절점 곡선보 요소)

  • Ryu, Ha-Sang;Sin, Hyo-Chol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.8
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    • pp.2540-2545
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    • 1996
  • It is well known that in typical displacement-based curved beam elements, the stiffness matrix is overestimated and as a result displacement predictions show gross error for the thin beam case. In this paper, a stain based curved beam element with 2 nodes is formulated based on shallow beam geometry. At the element level, the curvature and membrane strain fields are approximated independently and the displacement fields are obtained by integrating the strain fields. Three test problems are given to demonstrate the numerical performance of the element. Analysis results obtained reveal that the element is free for locking and very effectively applicable to deeply as well as shallowly curved beams.

The Effect of the Mass Matrix in the Eigenvalue Analysis of Curved Beam Elements (곡선보 요소의 고유치 해석에서 질량행렬의 영향)

  • Yu, Ha-Sang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.2
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    • pp.288-296
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    • 1997
  • Curved beam elements with two nodes based on shallow beam geometry and strain interpolations are employed in eigenvalue analysis. In these elements, the displacement interpolation functions and mass matrices are consistent with strain fields. To assess the quality of the element mass matrix in free vibration problems, several numerical experiments are performed. In these analysis, both the inconsistent mass matrices using linear displacement interpolation function and the consistent mass matrices are used to show the difference. The numerical results demonstrate that the accuracy is closely related to the property of the mass matrix as well as that of the stiffness matrix and that the mass matrix consistent with strain fields is very beneficial to eigenvalue analysis. Also, it is proved that the strain based elements are very efficient in a wide range of element aspect ratios and curvature properties.