ON FREE OSCILLATIONS OF A CIRCULAR CYLINDRICAL AND HOLLOW SHELLS REINFORCED BY A NETWORK OF RIBS,
Abstract
The author studies the effect of a small number of longitudinal and transverse stiffening ribs on the free oscillations of a circular cylindrical and shallow shells. The potential and kinetic energies of an elastic, system consisting of shells and ribs are written by means of Dirac's delta functions. Differential equations of free oscillations of the stiffened shell are obtained from the Hamilton-Ostrogradsky variational principle. A feature of the differential equations is that their solutions have to satisfy only kinematic conditions on the ribs. The construction of these solutions, which at the same time satisfy the conditions on the edges of the shell, does not differ from the construction of similar solutions for a smooth shell. Thus it becomes possible to apply the Bubnov-Galerkin method to shells reinforced by a small number of ribs. In the paper the case of a hinged-mobile support of the shell is discussed. On the basis of the formulae obtained, calculations are performed which make it possible to estimate the effect of the ribs on free oscillations of the shell. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 28, 1965
- Accession Number
- AD0610799
Entities
People
- M. O. Nazarov
Organizations
- National Air and Space Intelligence Center