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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2013, Volume 54, Issue 2, Pages 138–147
(Mi pmtf1206)
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This article is cited in 5 scientific papers (total 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.
Received: 26.06.2012
Citation:
S. D. Algazin, “Cosserat spectrum of the first boundary-value problem of elasticity”, Prikl. Mekh. Tekh. Fiz., 54:2 (2013), 138–147; J. Appl. Mech. Tech. Phys., 54:2 (2013), 287–294
Linking options:
https://www.mathnet.ru/eng/pmtf1206 https://www.mathnet.ru/eng/pmtf/v54/i2/p138
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