Accession Number : AD0695634

Title :   FINITE AXISYMMETRIC DEFORMATION AND ASYMMETRIC BUCKLING OF TRUNCATED SPHERICAL SHELLS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Wu,M. T. ; Cheng,S.

Report Date : MAY 1968

Pagination or Media Count : 63

Abstract : The paper is concerned with the theoretical study of buckling of truncated spherical shells. Sander's nonlinear equations for deep shells are used and equations of equilibrium are expressed in terms of displacements for spherical shells. Based on these equations, analyses are made for calculating prebuckling axisymmetric equilibrium positions and then examining these equilibrium states for points of bifurcation into asymmetric buckling deformations. An eigenvalue problem is formulated and the buckling loads for truncated spherical shells of different geometrical parameters are obtained numerically. The numerical results both for the prebuckling axisymmetric deformations and the points of bifurcation for the asymmetric buckling are plotted in figures. (Author)

Descriptors :   (*ELASTIC SHELLS, *BUCKLING), (*PARTIAL DIFFERENTIAL EQUATIONS, *NUMERICAL ANALYSIS), NONLINEAR DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, STABILITY

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE