Asymptotic behavior of Timoshenko beam with dissipative boundary feedback

DOI10.1016/S0022-247X(02)00036-7zbMath1030.93032MaRDI QIDQ1614678

Qing-xu Yan, De-Xing Feng, Shui-Hung Hou

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

well-posednessTimoshenko beams\(C_0\) semigroupasymptotic decay of the energydissipative boundary feedbackTimoshenko plates

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Control/observation systems in abstract spaces (93C25)

Related Items (16)

Stabilization of a laminated beam with interfacial slip by boundary controls ⋮ Polynomial decay for the Timoshenko system with dynamical boundary conditions ⋮ Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping ⋮ Boundary stabilization of a Bresse-type system ⋮ A finite difference scheme for solving the Timoshenko beam equations with boundary feedback ⋮ Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping ⋮ Uniformly exponentially stable approximations for Timoshenko beams ⋮ The lack of exponential stability of the hybrid Bresse system ⋮ Viscoelastic Timoshenko beams with occasionally constant relaxation functions ⋮ A contact problem for a thermoelastic Timoshenko beam ⋮ Stabilization of a viscoelastic Timoshenko beam ⋮ Exponential stability of laminated Timoshenko beams with boundary/internal controls ⋮ Stabilization of the Timoshenko beam by thermal effect ⋮ Rates of decay to non homogeneous Timoshenko model with tip body ⋮ Stabilization of a viscoelastic Timoshenko beam fixed into a moving base ⋮ About the stability to Timoshenko system with pointwise dissipation

Cites Work

• Boundary Control of the Timoshenko Beam
• Boundary control of a Timoshenko beam attached to a rigid body: planar motion
• Feedback stabilization of a Timoshenko beam with an end mass
• Direct strain feedback control of flexible robot arms: new theoretical and experimental results
• Initial-boundary value problem and exponential decay for a flexible-beam vibration with gain adaptive direct strain feedback control
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