Asymptotic analysis of the vibration spectrum of coupled Timoshenko beams with a dissipative joint

DOI10.1016/j.euromechsol.2010.03.004zbMath1475.74048OpenAlexW1964568446MaRDI QIDQ2034322

Matthew P. Coleman, Les Schaffer

Publication date: 21 June 2021

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.2010.03.004

zbMATH Keywords

eigenfrequencywave propagation methoddouble-branched vibration spectrumenergy-conserving end condition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Junctions (74K30)

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

Cites Work

• 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
• The Wave Propagation Method for the Analysis of Boundary Stabilization in Vibrating Structures
• Boundary Control of the Timoshenko Beam
• 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