Governing equations for large deflections of sandwich plates

Abstract

A theory was developed for subsonic flow past slowly oscillating pointed bodies of revolution. By properly expanding the first-order velocity potential, correction terms to slender-body theory could be derived which account for thickness and compressibility effects. This work is an extension of previous approaches by Adams and Sears, Laitone, and Schultz-Piszachich for flow past bodies at steady angle of attack, and the equivalence of these approaches is pointed out. The numerical results show good agreement between Revell's second-order slender-body theory and the present theory for the static stability derivatives of parabolic spindles. Thus it gives confidence in the use of this much simpler theory for slender bodies. Further experiments are required to assess the reliability of the dynamic stability predictions of both theories. References