A Timoshenko beam with tip body and boundary damping

DOI10.1016/j.wavemoti.2003.08.003zbMath1163.74526OpenAlexW2000140863MaRDI QIDQ2387672

N. F. J. van Rensburg, A. J. van der Merwe, Lizette Zietsman

Publication date: 5 September 2005

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2003.08.003

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items (16)

Stabilization of the Timoshenko beam system with restricted boundary feedback controls ⋮ Boundary stabilization of a Bresse-type system ⋮ Comparison of linear beam theories ⋮ Well-posedness and asymptotic behavior of Timoshenko beam system with dynamic boundary dissipative feedback of fractional derivative type ⋮ Elastic waves in a Timoshenko beam with boundary damping ⋮ Asymptotic Behaviour of a Viscoelastic Transmission Problem with a Tip Load ⋮ Nonlocal Timoshenko simply supported beam: Second spectrum and modes ⋮ The lack of exponential stability of the hybrid Bresse system ⋮ Natural frequencies and modes of a Timoshenko beam ⋮ Graphical representation of Timoshenko beam modes for clamped-clamped boundary conditions at high frequency: beyond transverse deflection ⋮ Waves in a vibrating solid with boundary damping ⋮ A difference scheme for solving the Timoshenko beam equations with tip body ⋮ Rates of decay to non homogeneous Timoshenko model with tip body ⋮ Modeling and control of resonance effects in steel casting mold oscillators ⋮ Uniform stability for the Timoshenko beam with tip load ⋮ Decay rate of the Timoshenko system with one boundary damping

Cites Work

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• Natural frequencies and modes of a Timoshenko beam
• Exact boundary controllability of a hybrid system of elasticity
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• Analysis of vibration spectrum of a Timoshenko beam with boundary damping by the wave method
• The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions
• Modeling, Stabilization and Control of Serially Connected Beams
• Boundary Control of the Timoshenko Beam
• BOUNDARY STABILIZATION FOR THE EXTENSIBLE BEAM WITH ATTACHED LOAD
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
• Well-posedness of the equations governing the motions of a one-dimensional hybrid thermo-elastic structure

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