FREE VIBRATIONS OF CIRCULAR CYLINDRICAL WEB-STIFFENED SANDWICH SHELLS.
POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
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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 Hamiltons principle. Author
- Marine Engineering