 | | 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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| K. Majidzadeh, M.M. Mutallimov, and A.A. Niftiyev, "The problem of optimizing the torsional rigidity of a prismatic body about a cross section," J. Appl. Math. Mech. 76 (4), 482-485 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
4 |
Pages |
482-485 |
| Title |
The problem of optimizing the torsional rigidity of a prismatic body about a cross section |
| Author(s) |
K. Majidzadeh (Baku, Azerbaijan, kambiz823@yahoo.com)
M.M. Mutallimov (Baku, Azerbaijan, mutallim@mail.ru)
A.A. Niftiyev (Baku, Azerbaijan, aniftiyev@yahoo.com) |
| Abstract |
Some extremal problems, related to the torsional rigidity of a homogeneous body, are investigated. The problem of optimizing the torsional rigidity of a cylindrical body about a cross section is solved by determining the variation of the region when using the one-to-one correspondence between bounded convex regions and continuous positive-homogeneous convex functions. Using this approach a formula is obtained for the torsional rigidity, and conditions are also obtained characterizing the optimum region and the maximum value of the functional. |
| Received |
27 August 2010 |
| Link to Fulltext |
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