A method for dynamic strength evaluation of ceramic beams containing small flaws was studied. (1) The critical frequency range was obtained with evaluating the strength of beams on the basis of the static-fatigue limit. (2) The critical frequency range increased slightly, with an increase of the equivalent crack length. (3) With an increase in the ratio of the breadth and depth, the eigenvalues increased, except for the fundamental eigenvalue. The eigenvalues increased monotonically, with an increase in the slenderness ratio and the stiffness of support. (4) For an increase in the damping ratio, the critical frequency range was constant, and then decreased. The fundamental critical frequency range was not affected by the damping ratio.