Strange behavior of natural oscillations of an elastic body with a blunted peak

DOI10.3103/S0025654419050121zbMath1457.74083OpenAlexW3004501225MaRDI QIDQ2226230

Sergueï A. Nazarov

Publication date: 11 February 2021

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654419050121

zbMATH Keywords

chaosasymptotic solutioncontinuous spectrumdiscrete spectrumeigenfrequency

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65)

Related Items (1)

Abnormal behavior of eigenvalues of mixed boundary value problems for the Laplace operator in truncated, but long cylinders

Cites Work

• Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide
• Elliptic problems in domains with piecewise smooth boundaries
• Waves and radiation conditions in a cuspidal sharpening of elastic bodies
• On the spectrum of an elastic solid with cusps
• Umov-Mandelshtam radiation conditions in elastic periodic waveguides
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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