Volume 13, Issue 15 (Third Special Issue 2014)                   Modares Mechanical Engineering 2014, 13(15): 116-125 | Back to browse issues page

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Irani S, Sazesh S, Shayanmehr M. Jump Phenomenon and Flutter Analysis of Nonlinear Airfoil with Stochastic Approach. Modares Mechanical Engineering 2014; 13 (15) :116-125
URL: http://mme.modares.ac.ir/article-15-2727-en.html
1- Faculty/ K.N. Toosi University of technology
2- Khaje Nasir Toosi University of Technology
Abstract:   (5520 Views)
In this study a new approach for investigating the flutter speed of nonlinear aeroelastic systems is proposed. In this approach, the compatibility of nonlinear random vibration analysis based on the statistical properties of response is used and extended to the nonlinear aeroelastic systems to analyze the instability of these systems with using neither time domain analysis nor limit cycle oscillations. To this aim a 2-degree nonlinear airfoil with cubic torsional spring under quasi steady flow is considered as an aeroelastic system. At first, one random Gaussian white noise is added to the aerodynamic lift force then the statistical linearization and the random vibration analysis of the nonlinear systems are used to obtain a nonlinear map of response-variance with flow velocity as the control parameter. This nonlinear map leads to a nonlinear algebraic equation which consists of two parameters as the flow velocity and variance of the response. By solving this nonlinear equation for various flow velocities, the flutter speed is considered as the maximum of response-variance. Finally the jump phenomenon is also investigated where tangent bifurcation occurs.
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Article Type: Research Article | Subject: Vibration|Aerospace Structures
Received: 2013/04/3 | Accepted: 2013/08/28 | Published: 2014/02/20

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