대한기계학회논문집 (Transactions of the Korean Society of Mechanical Engineers)
- 제17권11호
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- Pages.2694-2703
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- 1993
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- 1225-5963(pISSN)
DOI QR Code
곡률 보요소에 의한 Timoshenko 보의 고유치 문제 해석
The Analysis of Eigenvalue Problems of Timoshenko Beams Using Curvature-based Beam Elements
초록
In the vibration analysis of Timoshenko beams by the finite element method, it is necessary to use a large number of elements or higher-order elements in modeling thin beams. This is because the overestimated stiffness matrix due to the shear locking phenomenon when lower-order displacement-based elements are used yields poor eigensolutions. As a result, the total number of degrees of freedom becomes critical in view of computational efficiency. In this paper, the curvature-based formulation is applied to the vibration problem. It is shown that the curvaturebased beam elements are free of shear locking and very efficient in the vibration analysis.
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