Weak stability of a laminated beam

DOI10.3934/mcrf.2018035zbMath1421.35023OpenAlexW2889622112WikidataQ129109042 ScholiaQ129109042MaRDI QIDQ2001556

Zhuangyi Liu, Yang Wang, Yan-Fang Li

Publication date: 3 July 2019

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2018035

zbMATH Keywords

exponential stabilityoptimal decay ratepolynomial stabilitytwo wave equationsone Euler-Bernoulli beam equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (13)

Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam ⋮ On the stability of a thermoelastic laminated beam ⋮ Stability results for a laminated thermoviscoelastic system with Fourier's law ⋮ Polynomial decay rate of C₀ semigroup in Hilbert spaces ⋮ Polynomial stability of the Rao-Nakra beam with a single internal viscous damping ⋮ Long-time behavior of a nonlinearly-damped three-layer Rao-Nakra sandwich beam ⋮ Rao-Nakra model with internal damping and time delay ⋮ Analysis of exponential stabilization for Rao-Nakra sandwich beam with time-varying weight and time-varying delay: multiplier method versus observability ⋮ Stability results for a laminated beam with Kelvin-Voigt damping ⋮ On the stability of a linear Cauchy Rao-Nakra sandwich beam under frictional dampings ⋮ Stabilization of the generalized Rao‐Nakra beam by partial viscous damping ⋮ Sharp polynomial decay rate of multi-link hyperbolic-parabolic systems with different network configurations ⋮ Stability of solution for Rao-Nakra sandwich beam model with Kelvin-Voigt damping and time delay

Cites Work

• Unnamed Item
• Unnamed Item
• Uniform stabilization of a multilayer Rao-Nakra sandwich beam
• Analyticity of a multilayer mead-Markus plate
• Analyticity and optimal damping for a multilayer Mead-Markus sandwich beam
• Exponential stability for a structure with interfacial slip and frictional damping
• Optimal polynomial decay of functions and operator semigroups
• Modeling and analysis of a laminated beam.
• Exponential Stabilization ofLaminated Beams with Structural Damping and Boundary Feedback Controls
• Vibrations of unsymmetrical sandwich beams and plates with viscoelastic cores
• The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions

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