Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape

DOI10.1007/S00526-022-02325-1zbMath1502.35068OpenAlexW4308261787WikidataQ115385933 ScholiaQ115385933MaRDI QIDQ2093426

Erika Ushikoshi, Hiromasa Yoshihara, Shuichi Jimbo

Publication date: 8 November 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-022-02325-1

zbMATH Keywords

linearized elasticity eigenvalue problems

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Second-order elliptic equations (35J15)

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