AEROELASTIC ANALYSIS OF COMBINED CONICAL - CYLINDRICAL SHELLS

This paper addresses the dynamic behaviour of combined conical-cylindrical shells containing the internal fluid and subjected to the supersonic flow. The hybrid finite element model developed in this paper is based on a combination of the finite element method and classical shell theory. The displacement functions are derived from exact solution of Sanders' shell equations. The linearized first-order piston theory is used in modelling the aerodynamic interaction effect. Dynamic pressure of internal liquid is calculated using the velocity potential, Bernoulli's equation, and applying the impermeability condition to ensure the permanent contact at the fluid-solid interface. Initial stress stiffening due to axial compression and/or radial pressure is also taken into consideration and is presented by an additional stiffness matrix. Results of this work are compared with those of other theories and experiments, good agreement is found.