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Structural Engineering and Mechanics Volume 7, Number 3, March 1999 , pages 289-302 DOI: https://doi.org/10.12989/sem.1999.7.3.289 |
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Elastic bending analysis of irregular-shaped plates |
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Sakiyama T, Huang M
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| Abstract | ||
| An approximate method for analyzing the bending problems of irregular-shaped plates is proposed. In this paper irregular-shaped plates are such plates as plate with opening, circular plate, semi-circular plate, elliptic plate, triangular plate, skew plate, rhombic plate, trapezoidal plate or the other polygonal plates which are not uniform rectangular plates. It is shown that these irregular-shaped plates can be considered finally as a kind of rectangular plates with non-uniform thickness. An opening in a plate can be considered as an extremely thin part of the plate, and a non-rectangular plate can be translated into a circumscribed rectangular plate whose additional parts are extremely thin or thick according to the boundary conditions of the original plate. Therefore any irregular-shaped plate can be replaced by the equivalent rectangular plate with non-uniform thickness. For various types of irregular-shaped plates the convergency and accuracy of numerical solution by proposed method are investigated. | ||
| Key Words | ||
| irregular-shaped plate, bending problem, equivalent rectangular plate, discrete solution | ||
| Address | ||
| Sakiyama T, Nagasaki Univ, Grad Sch Marine Sci & Engn, Nagasaki 852, Japan Nagasaki Univ, Grad Sch Marine Sci & Engn, Nagasaki 852, Japan | ||