Vibrations of Plate Springs with Solid Friction Damping at their Ends

Abstract

On vibrations with solid friction damping there are Den Hartog's essays and the others, but these essays treat only the case that frictional forces are constant during the vibrations. On the contrary, as one of the cases that the frictional forces vary with the motion, the author investigated theoretically and experimentally the free and forced vibrations of plate springs consisted of one sheet with solid friction damping at their ends. The plate springs are circular arc shapes, the curvatures of which are comparatively large and the thicknesses are very small compared with the radii. The frictional forces consist in the return forces, the characteristic return force curve has two natural frequencies and the free and forced vibrations which are acted upon by a periodic disturbing force were solved theoretically. On the experimental measurements of the vibrations, models of the plate spring were made and the vibrations were measured by electro-magnetic ocsillograph. And the results of the experiment agreed with the calculations by the theory.