LINEAR AND NONLINEAR ANALYSIS OF SHELLS

The solution of problems involving static equilibrium, natural vibrations, and stability of arbitrary, stiffened shells of revolution, subjected to symmetric static loading is reviewed using a numerical integration technique combined with the direct stiffness method, and compared to solutions employing other numerical techniques, such as finite differences and finite elements. The numerical integration technique is extended to linear and nonlinear analysis of static equilibrium, stability, and vibrations under the influence of initial prestress, of arbitrary shells of revolution subjected to general unsymmetric (no line of symmetry) loadings. The coupling of the Fourier harmonics of the various shell functions in the case of nonlinear analysis are presented for a spherical cap subjected to unsymmetric static loading. Moreover, the classical buckling load is established for a prolate spheroid subject to hydrostatic pressure, and for an example shell of revolution of complex geometry subjected to a complex loading system.

• Corporate Authors:

  Polytechnic Institute of Brooklyn

  Department of Aerospace Engineering and Applied Mechanics
  Brooklyn, NY  United States  11201
• Authors:
  • Svalbonas, V
  • Armenakas, A E
• Publication Date: 1972-5

Media Info

• Pagination: 213 p.

Subject/Index Terms

• TRT Terms: Buckling; Finite element method; Shells (Structural forms)
• Old TRIS Terms: Shell theory; Spherical shells
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00040925
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: AFOSR-TR-72-1110
• Contract Numbers: F44620-69-C-0072
• Files: TRIS
• Created Date: Feb 23 1973 12:00AM