Double-wall nanotube as vibrational system: Mathematical approach

DOI10.1002/mma.1001zbMath1184.35303OpenAlexW2068287290MaRDI QIDQ3537547

Miriam Rojas-Arenaza, Marianna A. Shubov

Publication date: 7 November 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1001

zbMATH Keywords

carbon nanotubesTimoshenko systemcompact resolventmatrix differential operatordynamics generator

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) One-parameter semigroups and linear evolution equations (47D06) Linear symmetric and selfadjoint operators (unbounded) (47B25) Applications of operator theory to differential and integral equations (47N20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items

On the completeness of root vectors generated by systems of coupled hyperbolic equations ⋮ Vibrational frequency distribution for nonconservative model of double-walled carbon nanotube

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• A structural mechanics approach for the analysis of carbon nanotubes
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
• The Shear Coefficient in Timoshenko’s Beam Theory