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NOTE: in part c the curve labeled WEINITSCHKE (28) was later corrected by Weinitschke and found to agree with the results of Huang (7).
FROM:
Walter E. Backus and Raymond M. Mello (The Boeing Company, Seattle, Washington), “Some applications of finite element analysis to shell buckling prediction”, AFFDL-TR-68-150, 1968
ABSTRACT: The application of the direct stiffness method in the solution of doubly curved shell stability problems is demonstrated. Discussed first are the modifications nexessary to the basic linear matrix displacement approach of structural analysis to solve large deflection and stability problems. The resulting nonlinear system of equations is solved using the piecewise linearization technique. Buckling loads are predicted for several shallow spherical shells of varying geometry and compared to known solutions. Finally, the method is applied to a radome shell with nonuniform surface loads and the critical buckling load is established.
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