Meshless analysis for modal properties and stochastic responses of heated laminated rectangular/sectorial plates in supersonic airflow

Abstract

The object of this work is to develop a general meshless vibration model for analyzing the modal properties and stochastic responsesof laminated rectangular and sectorial plates subjected to stationary/nonstationary base acceleration random excitation in an aero-thermal environments. The supersonic piston theory is combined with the thermo-elastic theory to consider the thermal and aerodynamic effects of the laminated plate, and the Hamilton's principle is employed for formulating the complete governing equations of the structure system. The displacement components related to dynamic equations and the boundary conditions are characterized by a set of Chebyshev meshless shape functions with orthogonal properties. Then, the vibration behaviors for laminated rectangular/sectorial plates subjected to various boundary constraints are solved, where the pseudo excitation method (PEM) is adopted for performing the stationary/non-stationary stochastic analysis. The accuracy and stability of the present meshless solutions are validated by implementing some convergence checks and verification studies, in which the available results of FEM simulation models as well as the archived literature are provided as reference data. Also, physical insights into the effects of boundary stiffness, thermal/aerodynamic loads and different random excitations on the vibration mechanisms of laminated rectangular/sectorial plates are given, which might serve as the helpful guides for structural dynamic design.