Abstract
In this paper, the axisymmetric buckled states of an annular sandwich plate (Reissner-type sandwich plate) with the clamped inner edge which is subjected to a uniform radial compressive thrust at the clamped outer edge are studied. Firstly, the basic equation of the buckled problem is derived. Secondly, the critical loads for some parameters are obtained by using the shooting method. Finally, we discuss the existence of the buckled states in the vicinity of the critical loads and obtain the asymptotic expansions of the buckled states.
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References
Leissa, A. W., A review of laminated composite plate buckling,Appl. Mech. Rev.,40, 5 (1987).
He Lu-wu, Buckling and bifurcation of sandwich plates, A Thesis Submitted for the Degree of Science, Lanzhou University (1990). (in Chinese)
Cheng Chang-jun and Zhu Zheng-you,Buckling and Bifurcation on Structures, Lanzhou University Press (1991). (in Chinese)
Cheng Chang-jun and Zhu Zheng-you, The buckled states of annular plates.,Science Sinica, Series A, 3 (1986), 956–965.
Zhu Zheng-you and Cheng Chang-jun,Numerical Methods on Bifurcation Problems, Lanzhou University Press (1989). (in Chinese)
Roberts, S. M. and J. S. Shipman,Two-point Boundary Value Problems: Shooting Methods, American Elsevier Publishing Company, Inc. (1972).
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Communicated by Chien Wei-zang
The project supported by the National Natural Science Foundation of China
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Lu-wu, H., Chang-jun, C. The buckled states of annular sandwich plates. Appl Math Mech 13, 623–628 (1992). https://doi.org/10.1007/BF02456085
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DOI: https://doi.org/10.1007/BF02456085