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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2010 Number 4(12), Pages 56–63 (Mi vtgu157)

This article is cited in 1 paper

MECHANICS

Torsion of an elastic rod with a multicircular cross-section

I. A. Alexandrov

Tomsk State University

Abstract: The problem of torsion of an elastic rod having a multicircular simple connected cross-section with rotational $n$-symmetry is solved by methods of elasticity theory and conformal mappings.

Keywords: twisting of a rod, conformal mapping, complex twisting function, circular polygon, Schwarz equation.

UDC: 519.632+531.252+517.54


Accepted: October 10, 2010



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