Effective Use of the Incremental Stiffness Matrices in Nonlinear Geometric Analysis.
BROWN UNIV PROVIDENCE R I DIV OF ENGINEERING
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A study was made of the use of the incremental stiffness matrices in nonlinear elastic analysis. It was shown that its use in an iterative initial force method leads to convergence at loads below the buckling load. Eigenvalue formulations were then developed for nonlinear and linear buckling analysis. Numerical results were obtained for spherical caps and cylinders with imperfections. These results were in agreement with results in the literature. The shell imperfections were treated directly and were included in the description of the shell geometry. In the case of a cylinder with imperfections it was found that a linear buckling analysis was sufficient to give agreement with the results obtained from the Koiter theory. It was found necessary to include the initial displacement stiffness matrix in all cases investigated in this paper. Author