An investigation on the stochastic thermal vibration behaviors for laminated combined composite plate systems

Abstract

The present work aims to study the stationary and nonstationary stochastic thermal vibration properties of the laminated combined plate structures using meshless method. The combined system structure consists of several rigidly connected laminated rectangular plates, where the thermal effect of each subplate is considered according to the thermo-elastic theory. The Hamilton’s principle combined with the first-order shear deformation theory (FSDT) is adopted for generating the vibration formulas of the divided plates. The boundary and rigid compatibility conditions of the combined plates are imposed by massless springs with variable stiffness. The displacement components of the subplate system are approximated by 2D Chebyshev meshfree shape functions and the stochastic acceleration excitation is taken into account by introducing the pseudo excitation method (PEM). The modal behaviors and the stochastic dynamic solutions of laminated combined plates subjected to thermal loads are then successfully obtained. A considerable number of computational examples on the free vibration and random responses of the combined laminated plates are carried out to verify the convergence, accuracy and efficiency of the presented meshless model. Finally, systematic parametric studies are conducted to investigate the effects of thermal factor, acceleration excitations and boundary constraints on the free vibration and random dynamic characteristics of the laminated combined plates.