Bending-torsion vibration model with two-end energy dissipation

DOI10.1016/J.AMC.2004.06.046zbMath1123.74315OpenAlexW2031710847MaRDI QIDQ556049

Marianna A. Shubov

Publication date: 13 June 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.046

zbMATH Keywords

SpectrumRiesz basis propertyCompletenessMatrix differential operatorMinimalityRoot vectors

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) General theory of partial differential operators (47F05) Applications of operator theory to differential and integral equations (47N20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Remarks on the application of the Keldysh theorem on the completeness of root subspace of non-self-adjoint operators and comments on ``Spectral operators generated by Timoshenko beam model

Cites Work

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• Damping performance of strain actuated beams
• Asymptotic analysis of aircraft wing model in subsonic air flow
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
• Subsonic flutter suppression using self-straining actuators
• Asymptotics of aeroelastic modes and basis property of mode shapes for aircraft wing model.
• Asymptotic representations for root vectors of nonselfadjoint operators and pencils generated by an aircraft wing model in subsonic air flow

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