Modal and response bound predictions of uncertain rectangular composite plates based on an extreme value model

An extreme value (EV) model is constructed to predict statistical bounds of low, mid and high frequency free and forced vibration responses of symmetrically-laminated rectangular composite plates with random orientation angles, boundary conditions and damping ratios. Sample data fed to the EV model is generated by the discrete singular convolution (DSC) method through performing Monte Carlo simulations. The DSC has already proved itself as an accurate method particularly at high frequency region in which many numerical methods suffer from computational expense and efficiency. In the study, the DSC method is initially verified by comparison with classical laminated plate theory for simple supported, six-layered, specially-orthotropic composite plates for modal and response analysis throughout a broad frequency range. The uncertainties in plate rigidity, internal damping and assembling conditions of the composite plate are modelled using normal distribution of orientation angles, damping loss factors and boundary conditions. Modal and frequency response bounds are then predicted based on an EV based model considering a small number of samples of simulated uncertain data.