Bending of Square Plates with Mixed Conditions between Clamped and Free Edges
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Abstract
A rather limited amount of analytical solutions is available in the case of plates with mixed boundary conditions between clamped and free edges, because the clamped and free edge conditions do not have a common boundary condition. Therefore, the aim of the present study is to deal with the numerical finite element determination for the deflection responses of square plates having mixed conditions between clamped and free edges under a uniformly distributed load. The obtained results are provided for the deflection distri-butions along the middle line, along the diagonal line, and along the free edge of the plates. In addition, the deflection surface and its contour are also graphically demonstrated herein
Article Details
Copyright @2021 Engineering Transactions
Faculty of Engineering and Technology
Mahanakorn University of Technology
References
S.P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells. 2nd ed., McGraw-Hill, Singapore, 1959.
M. Kurata, “Bending of simply supported rectangular plates with clamped portions along arbitrary sections of the edges”, Ingenieur-Archiv, vol. 27, pp. 385-416, 1960.
K. Kiattikomol, L.M. Keer and J. Dundurs, “Application of dual series to rectangular plates”, Journal of the Engineering Mecha-nics Division, vol. 100, pp. 433-444, 1974.
Y. Sompornjaroensuk and K. Kiattikomol, “Exact analytical solutions for bending of rectangular plates with a partial internal line support”, Journal of Engineering Mathematics, vol. 62, pp. 261-276, 2008.
N.J. Salamon, T.P. Pawlak and F.F. Mahmoud, “Plates in uni-lateral contact with simple supports: pressure loading”, Journal of Applied Mechanics, vol. 53, pp. 141-145, 1986.
V.K. Papanikolaou and I.N. Doudoumis, “Elastic analysis and application tables of rectangular plates with unilateral contact support conditions”, Computers & Structures, vol. 79, pp. 2559-2578, 2001.
ANSYS, Inc., ANSYS Mechanical APDL Theory Reference, Release 14.5, 2012.
W. Niamnin, S. Khwakhong, J. Vibooljak and Y. Sompornjaroensuk, “Numerical investigation on symmetrical bending of uniformly strip loaded square plates with different support conditions”, Advanced Studies in Theoretical Physics, vol. 9, pp. 395-410, 2015.
W. Boonchareon, S. Boonyachut, D. Dy and Y. Sompornjaroensuk, “An experimental investigation of uniformly loaded square plates with mixed support conditions on four edges”, International Journal of Materials & Structural Reliability, vol. 11, pp. 117-145, 2013.
ANSYS, Inc., ANSYS Mechanical APDL Element Reference, Release 14.5, 2012.
T.J.R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Inc., New Jersey, 1987.
SigmaPlot 9.0 User’s Guide, Systat Software, Inc., California, 2004.