Analysis of vibration spectrum of a Timoshenko beam with boundary damping by the wave method

DOI10.1016/0165-2125(93)90003-XzbMath0776.73036MaRDI QIDQ1261567

Hankun Wang, Matthew P. Coleman

Publication date: 16 September 1993

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

zbMATH Keywords

asymptotic estimateswave propagation methoddissipative conditionsLegendre-tau spectral method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items

Approximate Controllability of Infinite Dimensional Systems of the n-th Order ⋮ A Timoshenko beam with tip body and boundary damping ⋮ An asymptotic and numerical analysis of the vibration spectrum of two Timoshenko beams coupled by general linear dissipative joints ⋮ On the completeness of root vectors generated by systems of coupled hyperbolic equations ⋮ Timoshenko beam theory: a perspective based on the wave-mechanics approach ⋮ Elastic waves in a Timoshenko beam with boundary damping ⋮ Natural frequencies and modes of a Timoshenko beam ⋮ On the completeness of root vectors of a certain class of differential operators ⋮ Exponential decay rate for a Timoshenko beam with boundary damping ⋮ Boundary feedback exponential stabilization of a Timoshenko beam with both ends free ⋮ Spectral operators generated by Timoshenko beam model ⋮ Asymptotic analysis of the vibration spectrum of coupled Timoshenko beams with a dissipative joint

Cites Work

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• Modeling, Stabilization and Control of Serially Connected Beams
• Boundary Control of the Timoshenko Beam
• Boundary controllability of nonlinear beams to bounded states
• THE EFFECTS OF SHEAR FLEXIBILITY AND ROTATORY INERTIA ON THE BENDING VIBRATIONS OF BEAMS