 | | 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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| I.P. Getman, M.I. Karyakin, and Yu.A. Ustinov, "Analysis of the non-linear behaviour of circular membranes with an arbitrary radial profile," J. Appl. Math. Mech. 74 (6), 654-662 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
6 |
Pages |
654-662 |
| Title |
Analysis of the non-linear behaviour of circular membranes with an arbitrary radial profile |
| Author(s) |
I.P. Getman (Rostov-on-Don, Russia, igor.getman@pcm.endress.com)
M.I. Karyakin (Rostov-on-Don, Russia, karyakin@math.sfedu.ru)
Yu.A. Ustinov (Rostov-on-Don, Russia, ustinov@math.sfedu.ru) |
| Abstract |
Equations are presented and a numerical-analytical algorithm is constructed for analysing the non-linear behaviour of a circular membrane with an arbitrary meridional profile. The branch points are determined and the supercritical behaviour is investigated in the case of a specific membrane. In the case of membranes with a relatively high initial flexure due to the choice of the shape of the profile, it is established that it is possible, instead of snapping (popping) the membrane, to obtain a smooth stable transition from one axisymmetric state to a subsequent non-contiguous state through a non-axisymmetric shape deformation step proportional to the cosine of the angular coordinate. |
| Received |
28 March 2010 |
| Link to Fulltext |
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