On new types of vibrations of thick cascade junctions with concentrated masses

DOI10.1134/S1064562413010389zbMath1267.74057MaRDI QIDQ352179

Gregory A. Chechkin, T. A. Mel'nik

Publication date: 4 July 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• Homogenization of a boundary value problem in a thick cascade junction
• Local problems for vibrating systems with concentrated masses: a review
• Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses
• Asymptotic expansions of eigenvalues and eigenfunctions of an elliptic operator in a domain with many “light” concentrated masses situated on the boundary. Two-dimensional case
• VIBRATIONS OF A THICK PERIODIC JUNCTION WITH CONCENTRATED MASSES
• A skin effect for systems with many concentrated masses
• Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions

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