Study of Vibration Characteristics of Cantilever Rectangular Plate with Side Crack
In this paper, the vibration characteristics of the cantilever rectangular plate with side crack are studied in the way of analysis, which including natural frequency and mode shape. The influences of different parameters of crack, such as the locations and lengths of crack, to the vibration characteristics of the cantilever rectangular plate are investigated. The modal function of the crack plate consists two parts, which are (1) the modal function of intact cantilever rectangular plate from beam functions combination method and (2) corner functions presenting the discontinuity of displacement and slope along the crack. The natural frequencies and modal shapes can be obtained when taking the modal function into the method of Ritz. At last, the effects of the crack location and crack length on the vibration characteristics are investigated, and it could provide the theoretical basis for engineering application and the relevant study.
Chunliang Zhang and Paul P. Lin
L. H. Chen et al., "Study of Vibration Characteristics of Cantilever Rectangular Plate with Side Crack", Applied Mechanics and Materials, Vols. 226-228, pp. 113-118, 2012