Paper number 200

THEORY OF ELLIPTICAL SANDWICH CYLINDRICAL SHELLS WITH DISSIMILAR FACINGS

Victor Birman¹ and George J. Simitses²

1University of Missouri-Rolla
Engineering Education Center
8001 Natural Bridge Road, St. Louis, Missouri 63121, USA
2Department of Aerospace Engineering and Engineering Mechanics
University of Cincinnati, Ohio 45221-0070, USA

Summary

The Sanders-type theory of elliptical sandwich shells with dissimilar facings is formulated. The governing equations account for transverse shear strains and for rotations about the normal to the middle surface of the shell. The constitutive equations correspond to a sandwich shell where each facing is formed of regular symmetrically laminated layers. Accordingly, the matrix of extensional, coupling and bending stiffnesses is fully populated, except for the elements A16 and A26 that are equal to zero. The governing equations for the elliptical sandwich shell are reduced to the corresponding results for a circular cylindrical shell if the radius of curvature of the shell is constant.

Keywords

sandwich structures, elliptical shells, Sanders shell theory.