Spectral estimates of vibration frequencies of anisotropic beams.

DOI10.21136/AM.2021.0057-21OpenAlexW3176795095MaRDI QIDQ2685395

Yanyan Li

Publication date: 21 February 2023

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/am.2021.0057-21

zbMATH Keywords

spectral geometrytheory of beamscomparison of spectradeformation of cross section

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75)

Cites Work

• Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds
• Estimation of vibration frequencies of linear elastic membranes.
• Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary
• Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II
• A linear theory of beams with deformable cross section
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral estimates of vibration frequencies of anisotropic beams.