Abstract
A closed series solution is proposed for the bending of point-supported orthotropic rectangular thin plates. The positions of support points and the distribution of transverse load are arbitrary. If the number of simply supported points gradually increases the solution can infinitely approach to Navier's solution. For the square plate simply supported on the middle of each edge and free at each corner, the results are very close to the numerical solutions in the past.
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Thorne, C. J., Square plates fixed at points,ASME Journal of Applied Mechanics,15 (1948), 420–425.
Yoshiki, M., and T. Kawai, On the method of application of energy principles to problems of elastic plates,Proceedings of Eleventh International Congress of Applied Mechanics, Munich (1966), 461–468.
Rajaiah, K. and A. K. Rao, Collocation solution for point-supported square plates,ASME Journal of Applied Mechanics,45 (1978), 424–425.
Wu, Z. Q., Y. K. Cheung and S. C. Fan,The Spline Finite Strip Method in Structural Analysis, Guangdong Science Technology Press (1986). (in Chinese)
Timoshenko, S. and S. Woinowsky-Krieger,Theory of Plates and Shells, 2nd ed., McGraw-Hill, New York (1959).
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Communicated by Cheng Da-peng
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Zhi-qing, J., Jin-xi, L. An exact solution for the bending of point-supported orthotropic rectangular thin plates. Appl Math Mech 13, 547–557 (1992). https://doi.org/10.1007/BF02451518
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DOI: https://doi.org/10.1007/BF02451518