Navier Solution for Infinite Shell Panels — Lesson 1

This lesson covers the solution for a cylindrical shell under cylindrical bending, also known as a cylindrical shell panel. It explains the meaning of a cylindrical shell panel, finite shell panel, and infinite shell panels. The lesson also discusses the concept of support, the theoretical concept of arc length, and the plane strain assumptions. It further explains the coordinate system, the concept of a reference surface, and the concept of a composite panel. The lesson concludes with the explanation of the strain displacement relations, the governing equations, and the concept of non-dimensionalization.

Video Highlights

01:22 - Closed shell and panel form
03:30 - Plane strain assumptions
07:53 - Infinite shell panel and finite shell panel
15:05 - Post-processing and its importance in getting accurate results
23:26 - Non-dimensionalized results and its benefits

Key Takeaways

- A cylindrical shell panel is a shell with all edges where boundary conditions can be provided.
- The solution for a cylindrical shell panel is different from a closed shell due to the ability to get the boundaries.
- The plane strain assumptions are used for infinite panels, also known as infinite cylindrical shell panels.
- The coordinate system used assumes x along the length, y along the circumference, and z along the thickness direction.
- The concept of a reference surface is crucial in developing the governing equation.
- The strain displacement relations and governing equations are key in understanding the behavior of the shell panel.
- Non-dimensionalization is important to reduce numerical instability during programming.