An asymptotic and numerical analysis of the vibration spectrum of two Timoshenko beams coupled by general linear dissipative joints

DOI10.1016/j.euromechsol.2017.02.001zbMath1408.74028OpenAlexW2588672870MaRDI QIDQ1658712

Laura A. McSweeney, Matthew P. Coleman

Publication date: 15 August 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2017.02.001

zbMATH Keywords

beamspectrumvibrationjointTimoshenko

Mathematics Subject Classification ID

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

Cites Work

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• Asymptotic solution of eigenvalue problems
• Asymptotic eigenfrequency distributions for the \(N\)-beam Euler-Bernoulli coupled beam equation with dissipative joints
• Analysis of vibration spectrum of a Timoshenko beam with boundary damping by the wave method
• Asymptotic analysis of the vibration spectrum of coupled Timoshenko beams with a dissipative joint
• Exact controllability of damped Timoshenko beam
• The Wave Propagation Method for the Analysis of Boundary Stabilization in Vibrating Structures
• Analysis, Designs, and Behavior of Dissipative Joints for Coupled Beams
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
• DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
• THE EFFECTS OF SHEAR FLEXIBILITY AND ROTATORY INERTIA ON THE BENDING VIBRATIONS OF BEAMS

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