Vibration control of a viscoelastic translational Euler-Bernoulli beam

DOI10.1007/s10883-017-9364-9zbMath1392.35040OpenAlexW2596447854MaRDI QIDQ1702972

Amirouche Berkani, Abdelkarim Kelleche, Nasser-eddine Tatar

Publication date: 1 March 2018

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

Full work available at URL: https://doi.org/10.1007/s10883-017-9364-9

zbMATH Keywords

relaxation functionmemory termarbitrary decay

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (11)

Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping ⋮ Long-time behaviour of a translational thermoelastic Timoshenko system with second sound ⋮ A new stability result for a flexible satellite system with viscoelastic damping ⋮ On stabilization of an axially moving string with a tip mass subject to an unbounded disturbance ⋮ Existence and exponential stabilization of an axial vibrations cable with time-varying length ⋮ Stabilisation of a viscoelastic flexible marine riser under unknown spatiotemporally varying disturbance ⋮ Uniform stabilization of a nonlinear axially moving string by a boundary control of memory type ⋮ VIBRATION CONTROL OF A VISCOELASTIC FLEXIBLE MARINE RISER WITH VESSEL DYNAMICS ⋮ Stabilization of a viscoelastic Timoshenko beam fixed into a moving base ⋮ BOUNDARY CONTROL AND STABILIZATION OF AN AXIALLY MOVING VISCOELASTIC STRING UNDER A BOUNDARY DISTURBANCE ⋮ Control of a thermo-viscoelastic translational Timoshenko beam

Cites Work

• Unnamed Item
• Unnamed Item
• On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation
• How far can relaxation functions be increasing in viscoelastic problems?
• Existence and exponential stability for a Euler-Bernoulli beam equation with memory and boundary output feedback control term
• Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
• A new class of kernels leading to an arbitrary decay in viscoelasticity
• Uniform decay for solutions of an axially moving viscoelastic beam
• Uniform stabilization of an axially moving Kirchhoff string by a boundary control of memory type
• Exponential decay for a viscoelastically damped Timoshenko beam
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping
• Oscillating kernels and arbitrary decays in viscoelasticity
• A MEMORY TYPE BOUNDARY STABILIZATION FOR AN EULER-BERNOULLI BEAM UNDER BOUNDARY OUTPUT FEEDBACK CONTROL
• Control of a viscoelastic translational Euler-Bernoulli beam
• Shear force feedback control of a single-link flexible robot with a revolute joint
• Existence and uniform decay for Euler–Bernoulli beam equation with memory term
• Foundations of Linear Viscoelasticity
• Polynomial stability without polynomial decay of the relaxation function
• A nonlinear feedback controller for a single-link flexible manipulator based on a finite element model
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• Arbitrary decays in linear viscoelasticity
• Lyapunov-Based Vibration Control of Translational Euler-Bernoulli Beams Using the Stabilizing Effect of Beam Damping Mechanisms

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