Proceedings of the Computational Structural Engineering Institute Conference (한국전산구조공학회:학술대회논문집)
- 2007.04a
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- Pages.513-518
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- 2007
Rotation-Free Plate Element Based on the Natural Element Method
자연요소법에 기초한 회전자유도가 없는 평판요소
- Published : 2007.04.12
Abstract
A polygon-wise constant curvature natural element approximation is presented in this paper for the numerical implementation of the abstract Kirchhoff plate model. The strict continuity requirement in the displacement field is relaxed by converting the area integral of the curvatures into the boundary integral along the Voronoi boundary. Curvatures and bending moments are assumed to be constant within each Voronoi polygon, and the Voronoi-polygon-wise constant curvatures are derived in a selective manner for the sake of the imposition of essential boundary conditions. The numerical results illustrating the proposed method are also given.
Keywords
- Kirchhoff plate element;
- $C^1$-continuity;
- Natural element method;
- Voronoi polygons;
- Constant curvatures and bending moments;
- Static and free vibration analyses