FREE VIBRATIONS OF CIRCULAR CYLINDRICAL WEB-STIFFENED SANDWICH SHELLS.
Abstract
An analysis is presented of the free vibrations of simply-supported and clamped, web-stiffened, circular, cylindrical sandwich shells. The mathematical model formulated includes the effect of translatory and rotatory inertia in each layer of the sandwich, and treats the two face layers as thin shells in which the classical (Donnell) theory of shells applies. Shear deformations, however, are permitted in the core, which is treated as a layer of inhomogeneous, orthotropic material. In the analysis, the discrete nature of the webs is maintained, except for the inclusion of an average secondary shear modulus induced by the bending of the webs and faces. Equations are also developed for the free vibrations of the corresponding homogeneously cored sandwich shells, in order to investigate the effect of smearing-out or averaging a given web-stiffened core. A Galerkin procedure is employed to determine the natural frequencies from a variational functional generated by means of Hamilton's principle. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0699532
Entities
People
- David Ranlet
- Joseph Kempner
- Youl-nan Chen
Organizations
- New York University Tandon School of Engineering