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The research regards to the dynamic stability of a 2D viscoelastic tapered wing subjected to bending and torsion (as a result of aerodynamic forces) and a transverse follower force (represents the engine thrust).
1- setting up the governing equation of motion using newtons low or hamilton principle
2- solving the coupled equations(PDE's) using Galerkin's method to find the divergence speed, flutter speed, effect of viscoelasticity,.....
3- simulating the problem using FEA software like ansys or nastran, and comparing the analytical results to FEA result with acceptable agreement.
- related papers are available
- I have derived the PDE's, but they are required just to make sure
- chosing the viscoelastic material and model ( maxwell, kelvin,...) is up to you
- chosing the wing type ( Golland, AGARD,...) for the parametric study is up to you - Theodorson theory is used to model the aerodynamic forces