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Variable Thickness Supersonic Airfoil Post flutter with plunging and pitching free play and Non-linear Damping and Stiffness

Hamid Moosazadeh

¹

Behzad Ghadiri Dehkordi

^1*

Puria Zarifian

²

1- Department of Aerospace Engineering, Tarbiat Modares University, Tehran, Iran 2- Department of Aerospace Engineering, Amirkabir University, Tehran, Iran

P.O.B. 14115-143 Tehran, Iran, [email protected]

A RTICLE I NFORMATION A BSTRACT

Original Research Paper Received 29 December 2014 Accepted 25 February 2015 Available Online 25 April 2015

The application of wing and stabilizer in aerospace vehicle is vitaly important to stability and flight motion. In this study nonlinear 2D wind is estimated. Nonlinear damping and stiffness with freeplay in plunging and pitching motion is assumed. 2

^nd

order Damping nonlinearity and 3

^rd

order stiffness nonlinearity in pitching and plunging motion is assumed. Fully nonlinear structure with nonlinear 3

^rd

order piston theory aerodynamic is assumed for the first time and result evaluated with different references. The equations are defined with Hamilton principle with the use of kinetic and potential energy and virtual work. They are solved in the state space via the ruge-kuta numerical method to determine chaotic and limit cycle oscillation motion of supersonic airfoil. The result show that as the speed increases, the behavior of 2D wing is softening type with the use of nonlinear rotational stiffness. But, It shows hardening type with the use of transversal nonlinear stiffness. The effect of transversal and rotational freeplay is more complicated than other parameters and increases instability in low speed. In other hand the stability increases with freeplay in high speed. As shown, increased velocity decrease damping effect in post flutter behavior.

Keywords:

Non-linear stiffness Non-linear damping Freeplay

Limit cycle

double-wedge airfoil

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