Lyapunov-Based Vibration Control of Translational Euler-Bernoulli Beams Using the Stabilizing Effect of Beam Damping Mechanisms

DOI10.1177/1077546304042070zbMath1078.74029OpenAlexW2042381064MaRDI QIDQ5706706

Mohsen Dadfarnia, Bin Xian, Darren M. Dawson, Nader Jalili

Publication date: 21 November 2005

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546304042070

zbMATH Keywords

exponential stabilityasymptotic stability

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control, switches and devices (``smart materials) in solid mechanics (74M05) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items

Control of a viscoelastic translational Euler-Bernoulli beam, Long-time behaviour of a translational thermoelastic Timoshenko system with second sound, Modeling and active control of chatter vibrations of piezoelectric stacked machining arm in micro-turning process, Control of a flexible satellite with an internal nonlinear disturbance, Stabilization of an Euler-Bernoulli beam with a tip mass under the unknown boundary external disturbances, Existence and exponential stabilization of an axial vibrations cable with time-varying length, Vibration control of a viscoelastic translational Euler-Bernoulli beam, Feedback stabilisation of an Euler–Bernoulli beam with the boundary time-delay disturbance, Boundary stabilization of non-classical micro-scale beams, Stabilization of a viscoelastic Timoshenko beam fixed into a moving base, Stabilization of an Euler-Bernoulli beam with distributed damping under time delays in the boundary, Control of a thermo-viscoelastic translational Timoshenko beam, A piezoelectric Euler-Bernoulli beam with dynamic boundary control: stability and dissipative FEM

Cites Work

• Unnamed Item
• Stability analysis of a hybrid system arising from feedback control of flexible robots
• Vibration analysis of viscoelastic beams by separation of variables and model analysis
• Stability and stabilization of infinite dimensional systems with applications
• VIBRATION CONTROL OF A ROTATING EULER–BERNOULLI BEAM
• Shear force feedback control of a single-link flexible robot with a revolute joint
• On Damping Mechanisms in Beams
• A nonlinear feedback controller for a single-link flexible manipulator based on a finite element model