Boundary stabilization of a nonhomogeneous beam with rotatory inertia at the tip

DOI10.1016/S0377-0427(99)00284-8zbMath0969.74033OpenAlexW1965953231MaRDI QIDQ1970382

Kangsheng Liu, Zhuangyi Liu

Publication date: 2 October 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00284-8

zbMATH Keywords

rotatory inertiamultiplier techniqueboundary stabilizationgeneralized eigenfunctions\(C(0)\)-groupfrequency-domain multiplier methodnonhomogeneous Euler-Bernoulli beamuniform decay of energy

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55)

Related Items (15)

Boundary control of nonlinear elastic systems ⋮ Boundary feedback stabilization of the undamped Timoshenko beam with both ends free ⋮ Optimal energy decay for a nonhomogeneous flexible beam with a tip mass ⋮ Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping ⋮ Modelling and boundary control of slender curved beams ⋮ Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems ⋮ Stabilisation of large motions of Euler–Bernoulli beams by boundary controls ⋮ On boundary feedback stabilization of Timoshenko beam with rotor inertia at the tip ⋮ Stabilization of nonuniform Euler-Bernoulli beam with locally distributed feedbacks ⋮ On the stabilization of elastic plates with dynamical boundary control ⋮ Stabilization of coupled nonuniform Timoshenko beam system ⋮ Stabilization of a constrained one-link flexible arm with boundary disturbance ⋮ Analiticity of the type III thermoelastic Euler Bernoulli model with tip ⋮ Spectral analysis of Euler–Bernoulli beam model with distributed damping and fully non-conservative boundary feedback matrix ⋮ A simple approach to dynamic stabilization of a rotating body-beam

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Stabilization of a hybrid system of elasticity by feedback boundary damping
• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space
• Stabilization of Elastic Plates with Dynamical Boundary Control
• Uniform Stabilization of a Hybrid System of Elasticity
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