Formulation for Swept Wings — Lesson 5

This lesson covers the formulation for swept wings, focusing on chord-wise rigid models. It explains the concept of resolving oncoming velocity into two components and how to calculate distributed lift and distributed torque. The lesson also discusses the bending and torsion equations and how to resolve them. It further explains the coupling between bending and torsion in chord-wise rigid formulation. The lesson concludes with an example problem on how to apply the Galerkin method for determining the divergence of a wing.

Video Highlights

00:59 - Explanation of the model including the elastic axis, aerodynamic center, and masses.
05:46 - Explanation of the bending equation and torsion equation.
12:54 - Explanation of the coupling between bending and torsion in the chord wise rigid formulation.
15:17 - Explanation of the divergence speed for the wing and the application of the galerkin method.
27:08 - Discussion on the example problem of a straight wing with a spring.
56:28 - Explanation of the application of the galerkin method for swipe technique problems.

Key Takeaways

- The formulation for swept wings involves resolving oncoming velocity into two components, calculating distributed lift and distributed torque, and understanding bending and torsion equations.
- The coupling between bending and torsion in chord-wise rigid formulation is different from stream-wise rigid formulation.
- The Galerkin method can be applied to determine the divergence of a wing. This involves setting up the equation, choosing the function that satisfies the boundary conditions, and solving the equation.
- The Galerkin method results in an error, which can be minimized by choosing the right function that satisfies the boundary conditions.