Firstly write the Lagrangian equation of motion and then covert the 2nd order ODE equations in to 1st order ODE equations i.e state space representation and finally plot the graphs in MATLAB
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I very am interested in this subject. I am professor of aeroelasticity. I worked at Embraer in aeroelasticity of airplanes and in gas turbine field. Lets have a meeting to talk about your project.