Accession Number : AD0745967

Title :   Linear and Nonlinear Analysis of Shells,

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s) : Svalbonas,Vytas ; Armenakas,Anthony E.

Report Date : MAY 1972

Pagination or Media Count : 213

Abstract : 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. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), LOADS(FORCES)), BODIES OF REVOLUTION, VIBRATION, RESONANT FREQUENCY, BUCKLING, STABILITY, RINGS, HYDROSTATIC PRESSURE, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION, MATRICES(MATHEMATICS), FOURIER ANALYSIS, SERIES(MATHEMATICS)

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE