An Analysis on the Vibration Modes of Circular Saw Blades

On the basis of the theory of elastic thin plates in small deflections and the theory of Bessel functions, the frequency equation and the mode functions of usual circular saw blades are derived with the effects of the centrifugal force neglected. The relations between the frequency equation and the mode functions, and the specific dimensions of the saw blades are removed by nondimensionalizing the frequency equation and the mode functions so as to make them more generalized.