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Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system

โœ Scribed by M. Sh. Burlutskaya, V. P. Kurdyumov, A. P. Khromov


Book ID
114993255
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
366 KB
Volume
85
Category
Article
ISSN
1064-5624

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Asymptotic Formulas for the Eigenvalues
โœ Bruce Geist; Joyce R. McLaughlin ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

Asymptotic formulas are derived for the eigenvalues of a free-ended Timoshenko beam which has variable mass density and constant beam parameters ลฝ otherwise. These asymptotic formulas show how the eigenvalues and hence how . the natural frequencies of such a beam depend on the material and geometric