Generalized aerodynamic forces on an oscillating cylindrical shell

The present paper presents a mathematical and numerical solution for the problem of determining the aerodynamic forces on a harmonically oscillating cylindrical shell at supersonic speeds within the framework of the classical, linearized, potential flow theory. The method of solution is given in detail and extensive numerical results are presented to indicate the nature of the aerodynamic forces. Comparisons of the present results are made with those of simpler, but more approximate theories, such as the quasi-steady, two-dimensional theory and a (generalized) “slender-body” theory, to indicate where these may be used with confidence.