Why is a aerofoil modeled by attached torsional and linear spring in a wing flutter analysis.The model does not even satisfy the boundary condition of zero displacement of wing at point of attachment to fuselage. I am considering the pitch plunge model as shown in figure.
Because what you are simulating is not a wing, but an aerofoil at an arbitrary $y$ station along the wing. The linear spring simulates the wing bending and the torsional one its torsion about the elastic axis. The constants would of course be of the type $k_{e}=f(y)$.
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$\begingroup$ how does this help us analyse a real world airplane flutter case? $\endgroup$ – Mihir Salot Nov 26 '18 at 14:09
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1$\begingroup$ you can adjust the constants of those springs to study a specific wing section, which is good enough for the level this preliminary study. More importantly, it already exhibits some of the crucial properties of flutter, like torsional divergence above a certain $U_{\infty}$. Though you should really refine your question, this is just my offhand remark to your initial overly broad query. $\endgroup$ – AEhere supports Monica Nov 26 '18 at 14:15