This lesson covers the special cases of shells, focusing on the generalized governing equation and its application to different types of shells such as cylindrical, spherical, conical, and ellipsoidal shells. The lesson explains how to convert the general differential equation for special cases using an example of a plate. It also discusses the importance of solving a linear problem for a shell before tackling a non-linear problem. The lesson further elaborates on the process of assigning curvilinear parameters and finding the lame’s parameters for a body or geometry. The lesson concludes with the derivation of governing equations for a doubly curved shell and a circular cylindrical shell.

- The generalized governing equation can be applied to different types of shells.
- The process of converting the general differential equation for special cases involves assigning curvilinear parameters and finding the lame’s parameters.
- Solving a linear problem for a shell is a prerequisite for solving a non-linear problem.
- The governing equations for a doubly curved shell and a circular cylindrical shell can be derived from the generalized governing equation.

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