A LINEARIZED LARGE DEFORMATION, ANALYSIS FOR SHALLOW AXISYMMETRIC MEMBRANES.
POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
Pagination or Media Count:
Analysis of the nonlinear behavior of lightly loaded, initially curved, axisymmetric membrane shells where the nonlinearity is associated with either highly localized loads or points of attachment is investigated. The large deformation analysis is facilitated by employing a linearized representation of the original nonlinear equations. Thus, the governing equation is characterized by a second order ordinary linear differential equation with variable coefficients. The order of this equation is sufficient to permit satisfaction of physically realizable boundary conditions. Specific problems associated with technically important structural shapes have been examined in detail. These include the shallow spherical shell, complete cone, and a shallow toroidal cap. Only axisymmetric loadings have been considered, these being either a uniform internal pressure, a concentrated load applied to a pole or apex, or a combination of the two loads. Author