Stabilization of a laminated beam with interfacial slip by boundary controls

DOI10.1186/s13661-015-0432-3zbMath1338.35037OpenAlexW2132785700WikidataQ59428960 ScholiaQ59428960MaRDI QIDQ283617

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Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0432-3

zbMATH Keywords

boundary controlexponential stabilizationmultiplier techniquevibration reductionslip dynamicTimoshenko system

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (41)

Uniform stability of a laminated beam with structural damping and second sound ⋮ Dynamics of laminated Timoshenko beams ⋮ Exponential stability for laminated beams with intermediate damping ⋮ On the stabilization of viscoelastic laminated beams with interfacial slip ⋮ Optimal stability results for laminated beams with Kelvin-Voigt damping and delay ⋮ Laminated Timoshenko beams with viscoelastic damping ⋮ On the stability of a thermoelastic laminated beam ⋮ Quasi-stability and attractor for a laminated-Coleman-Gurtin beam without structural damping ⋮ Boundary control of laminated beams with interfacial slip ⋮ Exponential and polynomial stabilization of laminated beams with two history memories ⋮ General decay for laminated beams with structural memory and modified thermoelasticity of type III ⋮ Exponential stabilization of laminated beams with history memories ⋮ Stability for a composite of Timoshenko laminated beams ⋮ Existence of solution and uniform decay for a contact problem in laminated beam ⋮ Nonuniform laminated beam of Lord–Shulman type ⋮ Uniform stability for laminated beams with time‐dependent boundary conditions ⋮ Exponential stability of a laminated beam system with thermoelasticity of type III and distributed delay ⋮ Decay rates of strongly damped Infinite laminated beams ⋮ Laminated Timoshenko beams with interfacial slip and infinite memories ⋮ Stability analysis of laminated beams with Kelvin–Voigt damping and strong time delay ⋮ Optimal polynomial stability for laminated beams with Kelvin–Voigt damping ⋮ Laminated Timoshenko beam without complementary dissipation ⋮ New exponential stability result for thermoelastic laminated beams with structural damping and second sound ⋮ A general and optimal stability result for a laminated beam ⋮ Memory-type boundary control of a laminated Timoshenko beam ⋮ On the stabilization of laminated beams with delay. ⋮ Stability result of Laminated beam with internal distributed delay ⋮ On the decay rates for two Cauchy thermoelastic laminated Timoshenko problems of type III with interfacial slip ⋮ Exponential stability of laminated Timoshenko beams with boundary/internal controls ⋮ On the stability of a laminated Timoshenko problem with interfacial slip in the whole space under frictional dampings or infinite memories ⋮ Stabilization for partially dissipative laminated beams with non-constant coefficients ⋮ Stability and instability results for Cauchy laminated Timoshenko-type systems with interfacial slip and a heat conduction of Gurtin-Pipkin's law ⋮ Asymptotic stability for a laminated beam with structural damping and infinite memory ⋮ EXPONENTIAL STABILITY OF LAMINATED BEAM WITH CONSTANT DELAY FEEDBACK ⋮ Exponential stability for laminated beams with a frictional damping ⋮ Polynomial and exponential decay rates of a laminated beam system with thermodiffusion effects ⋮ Stabilization of the laminated beams by internal and boundary dampings ⋮ On the internal and boundary control of the laminated beams ⋮ Exponential stability of laminated beam with neutral delay ⋮ Asymptotic behavior of a laminated beam with nonlinear delay and nonlinear structural damping ⋮ Exponential stability for a thermoelastic laminated beam with nonlinear weights and time-varying delay

Cites Work

• Boundary feedback stabilization of the undamped Timoshenko beam with both ends free
• Analyticity and dynamic behavior of a damped three-layer sandwich beam
• Boundary feedback stabilization of Timoshenko beam with boundary dissipation
• Asymptotic behavior of Timoshenko beam with dissipative boundary feedback
• Exponential decay rate for a Timoshenko beam with boundary damping
• Sliding mode control to stabilization of cascaded heat PDE-ODE systems subject to boundary control matched disturbance
• Easy test for stability of laminated beams with structural damping and boundary feedback controls
• Stability of an interconnected system of euler−bernoulli beam and heat equation with boundary coupling
• Exponential Stabilization ofLaminated Beams with Structural Damping and Boundary Feedback Controls
• Boundary Control of the Timoshenko Beam
• Boundary control of a Timoshenko beam attached to a rigid body: planar motion
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Riesz basis property of the generalized eigenvector system of a Timoshenko beam
• Boundary feedback exponential stabilization of a Timoshenko beam with both ends free
• Boundary feedback stabilization of nonuniform Timoshenko beam with a tipload

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