Dynamic Strength Evaluation of Ceramic Circular Beams Containing Small Flaws

Abstract

A method for the dynamic strength evaluation of ceramic beams containing small flaws was studied, and the following were observed: (1) With an increase in the taper ratio, the eigenvalue of the first order decreases, while the eigenvalues of the second, third and fourth orders increase. With an increase in the opening angle, the eigenvalue decreases monotonically. (2) The critical frequency range is obtained by evaluating the beam strength on the basis of the static fatigue limit. (3) The critical frequency range increases gradually with an increase in the equivalent crack length. (4) With an increase in the damping ratio, the critical frequency range of each order is nearly constant, and then decreases until it disappears. The critical frequency range of lower order is less affected by the damping ratio.