Vibrations of rectangular plates with internal cracks or slits

Free Vibration Analysis of Rhombic Plate with Central Crack

“…Table 5 shows that the frequency parameters of a square plate with central crack under simply supported edge condition are in very close agreement with those obtained by Bechene et al 27 and Stahl and Keer 24 and agree well with those given by Huang et al, 26 and Liew et al 31 Huang et al 26 and Liew et al 31 have adopted Ritz method and domain decomposition method, respectively, to investigate the vibration of crack plate. Their results are slightly on the higher side.…”

“…Vibration of cracked rectangular and square plates was studies by various researchers but the literature on vibration of cracked skew plate is merely available. Stahl and Keer, 24 Huang and Leissa, 25 Huang et al, 26 Bachene et al, 27 and Liew et al 31 studied the vibration of cracked rectangular and square plate with central crack, side crack and inclined crack under different boundary conditions by different methods that include the Ritz method, Rayleigh-Ritz method and finite element method. Recently, Israr et al, 28 Ismail and Cartmell, 29 and Joshi et al 30 presented closed form solution for the vibration of cracked rectangular plate.…”

Post-buckling analysis of cracked multilayered composite plates by pb-2 Rayleigh–Ritz method

“…From this point of view, the framework provided by the Rayleigh-Ritz method could provide appealing analysis tools and some research activities have been devoted to its application especially for free vibrations of cracked plates. Yuan and Dickinson [33] and Liew et al [34] proposed to model the cracked plate by decomposing it into several domains connected by artificial springs along the non-cracked edges, so that regular admissible functions can be used in the discretization; Kumar and Paik [35] estimated the buckling loads of plates with cracks by using displacement functions approximated by the hierarchical trigonometric functions; Huang et al [36,37] presented a solution for free vibrations of cracked plates where special displacement functions are employed; more recently Dang and Kapania [38] carried out the buckling analysis of stiffened cracked plates based on the use of local trigonometric trial functions. These approaches have been generally formulated and proposed for isotropic or homogeneous plates under the CLPT hypotheses.…”

An analysis of the effects of the orientation angle of a surface crack on the vibration of an isotropic plate

“…Only a few papers [3][4][5][6] have investigated the vibration analysis of a plate with a crack which is not parallel along one side of the plate. However, no literature contains any substantial references to the study of a plate with cracks of variable orientation undergoing forced vibration.…”