Aero Elasticity

This learning track covers a wide range of topics in aero elasticity, structural analysis, aerodynamics, and vibrations. The first course focuses on the study of aero elasticity and structural analysis, covering fundamentals like the Wright brothers' biplane design and the concept of deformation and energy formulation in structural analysis. Concepts such as Hamilton's Principle and Lagrange's Equation are discussed in the context of aeroelastic problems. The second course emphasizes Eigen value problems in vibrations, exploring boundary conditions, admissible functions, and Eigen functions. It covers the process of obtaining solutions for vibration problems and introduces various techniques to solve aeroelastic equations. The third course dives into the impact of aero elasticity on aircraft design, from static aeroelasticity to torsional deformation in wings. It also discusses the effects of aeroelasticity on aircraft during different flight conditions and the complexities of bending and torsional deformations. The fourth course introduces dynamic aeroelasticity and aerodynamics, using a simple 2D model of a wing section. It explores the flutter problem, unsteady aerodynamics, and ends with an in-depth explanation of Small Disturbance Potential Theory. The fifth course offers an in-depth study of aerodynamics, focusing on supersonic, subsonic, and two-dimensional flows. It explores mathematical equations related to supersonic flow, the concept of aerofoil pressure, and the application of subsonic flow in aerodynamics. The final course examines the mathematical relationships in aerodynamics, the flutter problem in elastic bodies, and introduces finite state models. It concludes with the flutter analysis of a wing with a large aspect ratio.