Abstract
A theoretical analysis is presented for the snap-buckling behaviour of dished shallow shells under uniform loads. By means of the modified iteration method, the second approximate formula of elastic behaviour and a set of numerical solutions are given. And effects of parameters β and k on the snap-buckling behaviour are discussed.
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References
C. Y. Chia,Nonlinear Analysis of Plates, New York (1980).
Chen Shanlin, Elastic behaviour of uniformly loaded circular corrugated plate with sineshaped shallow waves in large deflection.Appl. Math. and Mech.,1, 2 (1980), 279–291.
Wang Hu and Wang Junkuei, Snap-buckling on thin shallow conincal shells,Eng. Mech.,7, 1 (1990), 27–33. (in Chinese).
J. Famili, Asymmetric buckling of finitely deformed conical shells,AIAA.,3, 8 (1965), 1456–1461.
L. K. Charg and S. Y. Lu, Nonlinear thermal buckling of conical shells,Nuclear Engng. and Design,7 (1968), 159–169.
M. Baruch, K. Harari and J. Singer, Low buckling loads of axially compressed concial shells,J. Appl. Mech.,37 (1970), 384–392.
J. Tani and N. Yamaki, Buckling of truncated conical shells under axial compression,AIAA J.,8 (1970), 568–570.
C. C. Forster, Axially compression buckling of conical and cylindrical shells,Experimental Mechanics (1987), 255–261
S. Timoshenko and S. Woinowsky-Krieger,Theory of Plate and Shells, Science Press, Beijing (1977), (Chinese version)
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Project supported by the National Natural Science Foundation of China
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Dong, L., Shanlin, C. Snap-buckling of dished shallow shells under uniform loads. Appl Math Mech 18, 29–36 (1997). https://doi.org/10.1007/BF02457498
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DOI: https://doi.org/10.1007/BF02457498