Large deflection analysis of flat plate using nonlinear programming theory. (2nd Report, Axisymmetric annular plates with constant thickness and clamped, outer-edge boundary conditions).

Abstract

The author reports the application of the large deflection of annular plates with various loads and boundary conditions using the nonlinear programming theory. This method is based on the optimization technique derived from the total potential energy. Four numerical examples are presented in the case that the outer boundary is clamped, and that the ring load at the inner edge of transverse uniform load is subjected to the plates. The numerical calculation is executed for the dimensionless load ratio P/P0, where the basic load P0 is defined as the one which yields the same maximum deflection that equals the thickness of the plate by the elastic small deformation theory. It is concluded that the distributions of the out-of-plane displacement under the same boundary conditions for the typical load ratios show analogous behavior, and that the distributions of in-plane bending stress show the same tendencies, while distributions of bending stress differed when the load condition is changed.