Dynamic stability of non-linear antisymmetrically laminated angle-ply plates (Q1261576)

The dynamic stability problem is solved for rectangular plates compressed by time-dependent deterministic or stochastic membrane forces. The angle- ply antisymmetrically laminated plates with a twisting-extensional coupling are considered. Moderately large deflection equations taking into account a coupling of in-plane and transverse motion are used. The asymptotic stability and almost sure asymptotic stability criteria involving a damping coefficient and loading parameters are derived using Lyapunov's direct method.