Abstract
On the basis of [1] and [2], this paper further extends the Reciprocal Theorem to the thin elastic circular plates and proposes a general convenient new method, which can easily solve the transverse displacement equations of the circular plates with various complex edges and loads.
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References
Fu Bao-lian, A new method for displacement equations, Proceedings of the Third Scientific Symposium of Northeast Heavy Mechinary Institute (1981,1). (in Chinese)
Fu Bao-lian, Applications of the Reciprocal Theorem to solve the equations of the deflection surface of the rectangular plates with various edges conditions,Applied Mathematics and Mechanics,3, 3 (1982).
Chien Wei-zang and Yeh Kai-yuan,Elastic Mechanics, Science Publishing House (1956). (in Chinese)
Timoshenko, S. and S. Woinowsky-Krieger,Theory of Plates and Shells, 2nd Edtion (1959).
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Communicated by Chien Wei-zang
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Nong, L., Bao-lian, F. Application of reciprocal theorem for calculating the transverse displacement equations of the thin elastic circular plates. Appl Math Mech 9, 891–898 (1988). https://doi.org/10.1007/BF02465733
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DOI: https://doi.org/10.1007/BF02465733