Structural Modeling and Deformation — Lesson 2

This lesson covers the analysis of structural models, focusing on the deformation of structures and influence coefficients. It explains the concept of aeroelastic problems, which consist of structural modeling, aerodynamic modeling, and inertia modeling. The lesson delves into the concept of influence coefficients, which are used to understand the relationship between load and deflection. It also discusses the principle of superposition and its applicability in linear problems. The lesson further explains the concept of strain energy, which is the energy stored in a structure due to deformation. It also introduces the concept of flexibility and stiffness influence coefficients and their relationship. The lesson concludes with a detailed explanation of how to calculate the strain energy of a structure under distributed loads.

Video Highlights

00:16 - Introduction to the analysis of structural models and the concept of deformation of structures and influence coefficients.
08:11 - Discussion on the concept of flexibility influence coefficient and its relation with the stiffness matrix.
17:54 - Discussion on the concept of stiffness influence coefficient matrix.
44:30 - Explanation of the Euler Bernoulli beam theory and its application in structural modeling.
66:55 - Discussion on the concept of structural operator, inertia operator, and aerodynamic operator.

Key Takeaways

- Structural modeling is a crucial part of aeroelastic problems, which also include aerodynamic and inertia modeling.
- Influence coefficients provide a linear relationship between load and deflection in a structure.
- The principle of superposition, which states that the total deflection in a structure is the sum of the individual deflections, is applicable in linear problems.
- Strain energy is the energy stored in a structure due to deformation. It can be calculated using the flexibility or stiffness influence coefficients.
- The flexibility and stiffness influence coefficients are inversely related. The flexibility influence coefficient represents the deflection due to a unit load, while the stiffness influence coefficient represents the load in terms of deflection.
- The strain energy of a structure under distributed loads can be calculated using the flexibility influence coefficient and the principle of superposition.