This article is cited in 5 papers

Cosserat spectrum of the first boundary-value problem of elasticity

S. D. Algazin

Ishlinskii Institute for Problem in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia

Abstract: The three-dimensional problem of calculating the Cosserat spectrum of the first boundary-value problem of elasticity for a body of revolution is considered. Using grids containing 900 and 3600 nodes, it is shown that the sequence of eigenvalues for a sphere found by E. Cosserat and F. Cosserat does not describe the entire range of eigenvalues.

Keywords: Cosserat spectrum, eigenvalue problem, numerical algorithm without saturation.

UDC: 519.6

Received: 26.06.2012

 English version: Journal of Applied Mechanics and Technical Physics, 2013, 54:2, 287–294

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