Spectral operators generated by Timoshenko beam model

DOI10.1016/S0167-6911(99)00072-9zbMath0985.93012OpenAlexW2059493338MaRDI QIDQ5958816

Marianna A. Shubov

Publication date: 3 March 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(99)00072-9

zbMATH Keywords

Timoshenko beamspectral asymptoticsnonselfadjoint operatorsgeneralized eigenvectorsoperator pencilRiesz basis in a Hilbert spacespectral operators

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Vibrations in dynamical problems in solid mechanics (74H45) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Wave equation (35L05) Operator-theoretic methods (93B28) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of partial differential operators (47F05) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (9)

Approximate Controllability of Infinite Dimensional Systems of the n-th Order ⋮ 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 ⋮ Controllability of a slowly rotating Timoshenko beam ⋮ Unnamed Item ⋮ Spectral properties of non-homogeneous Timoshenko beam and its rest-to-rest controllability ⋮ Asymptotics of eigenfrequencies and eigenmodes of non-homogeneous inextensible filament with an end load ⋮ Asymptotic representations for root vectors of nonselfadjoint operators and pencils generated by an aircraft wing model in subsonic air flow ⋮ Stabilisation of Timoshenko beam system with a tip payload under the unknown boundary external disturbances ⋮ Ullrich conditions and smoothness of reachable states of a rotating beam

Cites Work

• Exact boundary and distributed controllability of radial damped wave equation
• Analysis of vibration spectrum of a Timoshenko beam with boundary damping by the wave method
• Modeling, analysis and control of dynamic elastic multi-link structures
• Spectral operators generated by damped hyperbolic equations
• Optimal energy decay rate in a damped Rayleigh beam
• Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string
• Exact controllability of damped Timoshenko beam
• Boundary Control of the Timoshenko Beam
• Spectral decomposition method for controlled damped string reduction of control time
• Asymptotic Locations of Eigenfrequencies of Euler–Bernoulli Beam with Nonhomogeneous Structural and Viscous Damping Coefficients
• Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams
• The rate at which energy decays in a damped String
• Nonselfadjoint operators generated by the equation of a nonhomogeneous damped string
• Eigenvalue formulas for the uniform Timoshenko beam: the free-free problem
• The rate at which energy decays in a string damped at one end
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral operators generated by Timoshenko beam model