Transverse Vibrations of Viscoelastic Cylinders

概要

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The effect of shear stress on transverse vibrations of incompressible viscoelastic materials of the Voigt type is studied theoretically for vertical cylinders fixed on a horizontal vibrating plane.The displacement, inclination and shearing angle are calculated as functions of the position for various frequencies and cylinder diameters. It is shown that even if the mechanical loss tangent is much smaller than unity, the existence of viscosity plays a fundamental role. It is shown that when the cylinder is thick and short enough, vibrations can be thought of as almost purely shearing, and that when the cylinder becomes thin enough, vibrations can be considered almost as purely flexural. A brief discussion is made for the validity of the vibrating reed method,and the formulae for the method are corrected with respect to the shift of resonance frequency caused by viscosity.
社団法人応用物理学会の論文
1977-01-05