Nonlinear flutter of laminated plates with in-plane force and transverse shear effects

摘要

Based on a simplified higher-order shear deformation plate theory (SDPT) and von Karman large deformation assumption, a high-precision higher-order triangular-plate element that can be used to deal with transverse shear effects is developed for the nonlinear flutter analysis of composite laminates. The element presents no shear-locking problem due to the assumption that the total transverse displacement of the plate is expressed as the sum of the displacement due to bending and that due to shear deformation. Quasi-steady aerodynamic theory is employed for the flutter analysis. Newmark numerical time integration method is applied to solve the nonlinear governing equation in time domain. Results show that the in-plane force on the plate will increase the maximum plate displacement but will not influence the maximum plate motion speed. However, the aerodynamic pressure will increase both the maximum displacement and velocity of the plate. The transverse shear will have profound influence on the flutter boundary for a thick plate and under certain conditions it will change the plate motion from buckled but dynamically stable to a limit-cycle oscillation.