Aeroelastic Response Analysis Of Supersonic Panels With Elastic Boundary Conditions

In this paper,the vibration and flutter of isotropic and orthotropic Kirchhoff panels and Mindlin panels are analyzed.Based on a modified Fourier series method(MFSM),the vibration analysis of panels with elastic boundary conditions is carried out.Then,the vibrational functions are combined with the supersonic piston theory to establish the aerodynamic elastic equation.The aeroelastic response analysis of the supersonic panels is obtained to study the flutter behaviors.The main work and conclusions of this paper are as follows:(1)Based on MFSM,the vibration analysis of isotropic and orthotropic Kirchhoff panels and Mindlin panels with elastic boundary conditions are carried out.According to the numerical calculation results,the MFSM has good convergence and accuracy.(2)The flutter behaviors of isotropic thin panels are analyzed by MFSM in time-domain and V-g method in frequency-domain,respectively.The flutter speed increases with the decreasing of width and the increasing of thickness.The flutter speed of the thin panel increases when the stiffness of the boundary spring increases.(3)The thermal flutter behaviors of isotropic Mindlin panels are analyzed based on the energy method.As the temperature rises,the panel flutters at lower flow speed.When the constraint stiffness of boundary spring increases,the critical aerodynamic pressure gradually increases,and the influence of elastic boundary is more obvious than that of temperature.(4)Based on the energy method,the vibration and flutter behaviors of orthogonal anisotropic panels are investigated.The flutter speed decreases with the decreasing of thickness and the increasing of width-length ratio,temperature and linear expansion coefficient.The flutter speed of the panels increases when the stiffness of the boundary spring increases.