Abstract
The bending of the thin elastic semicircular plates, because of its complicated boundary conditions, brings some difficulties, for us to obtain its solution. This paper applies, the reciprocal theorem to propose a general simple convenient method to obtain the transverse deflectional equations of the plates.
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References
Chien Wei-zang and Yeh Kai-yuan,Mechanics of Elasticity, Science Press (1965). (in Chinese)
Timoshenko, S. and S. Woinowsky-Krieger,Theory of Plates and Shells, 2nd Ed. (1959).
Fu Bao-lian, Application of the reciprocal theorem to solving the transverse displacement equations of the thin elastic rectangular plates with complex boundary conditions,Appl. Math. and Mech. (English Ed.),3, 3 (1982), 353–364.
Li Nong and Fu Bao-lian, Application of the reciprocal theorem for calculating the transverse displacement equations of the thin elastic circular plates,Appl. Math. and Mech. (English Ed.),9, 19 (1988), 891–898.
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Communicated by Pan Li-zhou
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Nong, L. A method using the reciprocal theorem to solve the bending of thin elastic semicircular plates. Appl Math Mech 13, 1127–1131 (1992). https://doi.org/10.1007/BF02456153
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DOI: https://doi.org/10.1007/BF02456153