粘弾性チモシェンコはりの強制振動の解析と実験

概要

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Abstract　A problem of the steady state forced vibrations of viscoelastic Timoshenko cantilever beams with external damping is solved by the application of the correspondence principle. Based on the experiments of the free vibrations of beams in a vacuum chamber, the constitute equation of beam material is represented by the atandard linear solid. The external damping force is introduced into the differential equation in the form of the equivalent viscous damping, which is treated as the velocity squared damping for the numerical evaluation. By letting the calculated resonance peak amplitude for the first mode vibration of beam be the equal of the corresponding experimental value, the coefficient of velocity squared damping is determined using the numerical method. The theoretically predicted responses for the second and third mode vibrations of the viscoelastic cantilever beams with external damping are compared with experiments. From these comparisons, it is confirmed that the external damping is due to a frictional force proportional to a square of velocity of the deflection of beam.
山形大学の論文
1985-01-20