Dynamic instability of rectangular plate with an edge crack

Effect of thermal environment on free vibration of cracked rectangular plate: An analytical approach

“…The work in Refs. [20][21][22][23][24][25][26][27][28][29] shows that the presence of crack either partial or through, affects the vibration characteristics and dynamic stability of plates. Literature research (Refs.…”

Exact free vibration study of rectangular Mindlin plates with all-over part-through open cracks

“…By applying the Galerkin's method to von Karman's plate theory, Wu and Shih [27] determined natural frequencies of simply supported square and rectangular cracked plates subjected to the pulsating in-plane forces by using incremental harmonic balance method. Hu and Fu [28] introduced linear free vibration of viscoelastic simply supported rectangular plates with a crack using the Galerkin's method.…”

Effects of all-over part-through cracks on the aeroelastic characteristics of rectangular panels

“…In addition, it is assumed that the plate is simply supported at the two parallel sides, and it has arbitrary boundary conditions at the two other edges. Wu and Shih [15] theoretically analyzed the dynamic instability and the non-linear response of the cracked plates subjected to period in-plane load. By applying the Galerkin's method to the dynamic analogy of the Von Kármán plate equations, the governing equation of a cracked plate is reduced to a time-dependent Mathieu equation.…”