Abstract
In this paper, a new analytical method for free vibration problem of a simply supported rectangular plate with a crack is proposed. Features of the obtained theoretical solution for a plate are that only the deflection has a gap of the finite Fourier series shape along a crack line, and it continues along the other line.
The natural period according to some past research results has been compared in order to verify the effectiveness of this study. As some numerical examples, the following have been illustrated: Deflection surface of a plate , cross sectional forces[Mx(y), Rx(y)]along a crack line and the natural period with eccentricity and transfer of a crack line.
