This lesson covers the F-w formulation, which is a type of formulation that involves two coupled governing differential equations in terms of stress function and displacement. The lesson also delves into the concept of shell buckling, explaining how initial imperfections can significantly affect the buckling characteristics of cylindrical panels. The lesson further illustrates these concepts through an example of finding the post-buckling behavior of an axially compressed cylindrical shell panel using the Galerkin method. The lesson concludes by discussing the implications of these findings, particularly how the maximum load an initially imperfect panel can support is considerably less than the critical load given by classical theory.

- The F-w formulation involves two coupled governing differential equations in terms of stress function and displacement.
- Initial imperfections can significantly affect the buckling characteristics of cylindrical panels.
- The Galerkin method can be used to solve the governing differential equations to find the post-buckling behavior of an axially compressed cylindrical shell panel.
- The maximum load an initially imperfect panel can support is considerably less than the critical load given by classical theory.

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