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Vibration of a beam with support damping.

Hiroyuki Yaguchi, Hideo Saitô

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Abstract

This study deals with the steady response of a beam with support inserts having material damping, including the effect of rotatory inertia and shear deformation. The Timoshenko beam theory is used and the displacements of a cantilever excited by the harmonic motion of the support are obtained. Numerical results are presented to show the effect of rotatory inertia and shear deformation and are compared with those obtained by classical analysis. The resonant frequencies obtained from the analysis are in fairly good agreement with those obtained by the experiment.

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This study deals with the steady response of a beam with support inserts having material damping, including the effect of rotatory inertia and shear deformation. The Timoshenko beam theory is used and the displacements of a cantilever excited by the harmonic motion of the support are obtained. Numerical results are presented to show the effect of rotatory inertia and shear deformation and are compared with those obtained by classical analysis. The resonant frequencies obtained from the analysis are in fairly good agreement with those obtained by the experiment.

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Available abstract

This study deals with the steady response of a beam with support inserts having material damping, including the effect of rotatory inertia and shear deformation. The Timoshenko beam theory is used and the displacements of a cantilever excited by the harmonic motion of the support are obtained. Numerical results are presented to show the effect of rotatory inertia and shear deformation and are compared with those obtained by classical analysis. The resonant frequencies obtained from the analysis are in fairly good agreement with those obtained by the experiment.

Key concepts: Cantilever, Timoshenko beam theory, Inertia, Vibration, Beam (structure), Rotary inertia, Excited state, Mechanics

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