| | 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
Total articles in the database: | | 12804 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4760 |
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I. S. Astapov, N. S. Astapov, and E. L. Vasil'eva, "Quadratic approximation of large displacements of a flexible compressed beam," Mech. Solids. 38 (1), 133-138 (2003) |
Year |
2003 |
Volume |
38 |
Number |
1 |
Pages |
133-138 |
Title |
Quadratic approximation of large displacements of a flexible compressed beam |
Author(s) |
I. S. Astapov (Moscow)
N. S. Astapov (Moscow)
E. L. Vasil'eva (Novosibirsk) |
Abstract |
We consider examples of approximation of elliptic integrals which
demonstrate a method of quadratic approximation of functions
defined in terms of power series. This method is a modification of the
Padé rational approximation method. It is shown that the known formulas for
the approximation of the maximal deflection of a pinned flexible
beam subjected to longitudinal compression can be obtained by means
of the generalized Padé approximation of a complete elliptic integral of the
first kind. New simple formulas are obtained for the maximal deflection
and the shape of a flexible beam subject to plane bending. |
References |
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Mashinostroenie, Moscow, 1991. |
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"Approximate formulas for the deflection of compressed flexible beams,"
Zh. Prikl. Mekhaniki i Tekhn. Fiziki, Vol. 37, No. 4, pp. 135-138, 1996. |
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|
Received |
28 December 2000 |
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