Abstract
The buckling of a round orthotropic flexible plate vf variable thickness is studied. The sagging of the plate under both contour loading and nonuniform heating is considered. Algebraic polynomials are used as coordinate functions to construct approximate solutions of the corresponding equations.
Similar content being viewed by others
References
I. S. Berezin and N. P. Zhidkov,Computational Methods [in Russian], Vol. 1, Fizmatgiz, Moscow (1969).
A. D. Kovalenko,Plates and Shells in the Rotors of Turbomachines [in Russian], Izd. Akad. Nauk Ukr. SSR, Kiev (1955).
I. A. Motovilovets, “The stability of a heated plate,”Prikl. Mekh.,31, No. 1, 79–86 (1995).
I. A. Motovilovets, “The stability of a locally heated plate,”Prikl. Mekh.,32, No. 9, 72–79 (1996).
I. A. Motovilovets, “The stermomechanical behavior of an orthotropic round plate of variable thickness,”Prikl. Mekh.,34, No. 7, 78–83 (1998).
I. A. Motovilovets, “The thermomechanical behavior of a flexible orthotropic round plate,”Prikl. Mekh.,35, No. 4, 95–100 (1999).
The Theory of Flexible Round Plates, Izd. Inostr. Lit., Moscow (1957).
S. P. Timoshenko,Stability of Elastic Systems [in Russian], GITTL, Moscow (1955).
Additional information
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 2, pp. 115–123, February, 2000.
Rights and permissions
About this article
Cite this article
Motovilovets, I.A. The thermomechanical behavior of a flexible orthotropic round plate of variable thickness. Int Appl Mech 36, 251–260 (2000). https://doi.org/10.1007/BF02682001
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02682001