This study offers the first-of-its-kind three-dimensional vibration data for circular cylinders having V-notches. The V-notch has tri-axial stress singularities along its sharp edge due to the three-dimensional vibratory motion. In the present work, a single-field Ritz procedure is employed, which incorporates a complete set of algebraic - trigonometric polynomials in conjunction with an admissible set of edge functions that explicitly model the three-dimensional stress singularities which exist along a terminus edge of the V-notch. Convergence studies demonstrate the necessity of adding the edge functions to achieve accurate frequencies. Accurate natural frequencies are presented for a wide spectrum of notch angles and notch depths. The first known frequencies for sectorial, semi-circular, and segmented cylinders are also given as special cases of the title problem.
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