Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters |
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Authors: | YM Chen JK LiuG Meng |
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Institution: | a Department of Mechanics, Sun Yat-sen University, 135 Xingangxi Road, Guangzhou 510275, China b State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, China |
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Abstract: | The limit cycle oscillation of a two-dimensional airfoil with parameter variability in an incompressible flow is investigated using the incremental harmonic balance (IHB) method. The variable parameters, such as the wind speed, the cubic plunge and pitch stiffness coefficients, are modeled as either bounded uncertain or stochastic parameters. In the solution process of the IHB method, the bounded parameters are considered as an active increment. Taking all values over the considered bounded regions of the active parameters provides us with a series of IHB solutions of limit cycle oscillations of the airfoil. With the aid of the attained solutions, the bounds and some statistical properties of the limit cycle oscillations are determined and compared with Monte Carlo simulation (MCS) results. Numerical examples show that the proposed approach is valid and effective for analyzing strongly nonlinear vibration problems with bounded uncertainties. |
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Keywords: | Nonlinear flutter Limit cycle oscillation Incremental harmonic balance method Uncertainty Statistic |
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