 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
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| B. V. Nerubailo, L. G. Smirnov, and O. A. Strukova, "To the solution of the thermoelasticity problem for conical shells," Mech. Solids. 43 (4), 610-612 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
4 |
Pages |
610-612 |
| DOI |
10.3103/S0025654408040092 |
| Title |
To the solution of the thermoelasticity problem for conical shells |
| Author(s) |
B. V. Nerubailo (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993, Russia, borisn@km.ru)
L. G. Smirnov (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993, Russia)
O. A. Strukova (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993, Russia, olga544@bk.ru) |
| Abstract |
We consider the stress-strain state of thin conical shells in the case of arbitary distribution of the temperature field over the shell. We obtain equations of the general theory based on the classical Kirchhoff-Love hypotheses alone. But since these equations are very complicated, attempts to construct exact solutions by analytic methods encounter considerable or insurmountable difficulties. Therefore, the present paper deals with boundary value problems posed for simplified differential equations. The total stress-strain state is constructed by "gluing" together the solutions of these equations. Such an approach (the asymptotic synthesis method) turns out to be efficient in studying not only shells of positive and zero curvature [1, 2] and cylindrical shells [3] but also conical shells [4, 5]. Here we illustrate it by an example of an arbitrary temperature field, and the problem is reduced to solving differential equations with polynomial coefficients and with right-hand side containing the Heaviside function, the delta function, and their derivatives. |
| Received |
28 May 2007 |
| Link to Fulltext |
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