Vibrarfon of Cracked Rectangular Plates

Abstract

The present paper deals with vibration problems of cracked rectangular plates. The two opposite edges perpendicular to the line of the crack are assumed to be simply supported in these plates. Therefore, the Levy-Nadai's form of solution is used. Fulfilment of mixed boundary conditions on the line of the crack are formulated by means of the weighted residual methods. Numerical calculations are carried out for three examples; In the first example two opposite edges parallel to the crack are assumed to be simply supported, in the second, free, and in the last example clamped. Results of calculation are compared with the works of other investigators.