Supersonic flutter analysis of variable thickness blades in thermal environment by using isogeometric approach

Abstract

A modeling procedure is presented for the supersonic flutter analysis of variable thickness (VK) blade subjected to thermal environment in this paper. The considered blades which are made of temperature related FG materials have two different thickness variations. And the linear and nonlinear temperature conditions vary only along the thickness direction. Based on the combination of a refined plate theory (RPT) and isogeometric approach (IGA), the VK blade displacements and geometric formulations are accurately developed. The C1 continuity of RPT for basis functions is easily achieved by the IGA method. The aerodynamic effect is calculated by supersonic piston theory in which the yawed flow angle effect is taken into account. By comparing the present results with some existing data, the accuracy and stability of present modeling are proved. Finally, some parametric studies are carried out to explore the influence of two types of thickness variations, thermal conditions, yawed flow angles and material gradient parameters on the flutter behaviors of the blade.