Analytical-numerical models for flutter of cylindrical shells in supersonic flow

Abstract

This chapter discusses two analytical-numerical models to study the flutter behavior of laminated cylindrical shells in axial supersonic flow. The models are based on Donnell-type shell equations and can be used to investigate the influence of important parameters, such as geometric imperfections, static loading, and boundary conditions. These types of models provide the information necessary to set up more complicated (finite element) models. In the analysis performed, the outer surface of the shell was exposed to a high Mach number supersonic flow directed parallel to its axis. The Adams–Moulton method with variable step size was used for the numerical integration of the ordinary differential equations. The response was calculated by integrating over a sufficiently large time interval so that the transient effects die out. When the quiescent companion mode is not disturbed, one obtains a standing wave type flutter. Disturbance in the response with perturbations in the companion mode results in a coupled-mode (travelling-wave) response.