 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 75, Issue 4 / 2011 | Next article >> |
| V.M. Aleksandrov and V.Yu. Salamatova, "The bending of a circular membrane on a linearly deformed foundation," J. Appl. Math. Mech. 75 (4), 472-475 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
4 |
Pages |
472-475 |
| Title |
The bending of a circular membrane on a linearly deformed foundation |
| Author(s) |
V.M. Aleksandrov (Moscow, Russia)
V.Yu. Salamatova (Moscow, Russia, salamatova@inbox.ru) |
| Abstract |
The axisymmetric problem of the bending of a circular transversely-loaded membrane (i.e., a thin plate having no flexural stiffness), which lies without friction on a linearly deformed foundation, where there is contact over the whole area of the membrane, is considered. The problem is reduced to the combined investigation of a differential equation for the bending of the membrane and an integral equation of the first kind with an irregular kernel in the unknown contact pressure. The method of special orthonormalized polynomials and the regular asymptotic "large λ" method are used to solve the problem. |
| Received |
03 September 2009 |
| Link to Fulltext |
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