Residue Harmonic Balance for Two-Degree-of-Freedom Airfoils with Cubic Structural Nonlinearity

AIAA Journal ◽  
2011 ◽  
Vol 49 (12) ◽  
pp. 2607-2615 ◽  
Author(s):  
A. Y. T. Leung ◽  
Zhongjin Guo
Keyword(s):  
Harmonic Balance ◽  
Degree Of Freedom ◽  
Structural Nonlinearity ◽  
Two Degree Of Freedom

Modified Harmonic Balance Method for Nonlinear Aeroelastic Analysis of Two Degree-of-Freedom Airfoils in Supersonic Flow

2018 ◽  
Vol 18 (06) ◽  
pp. 1871006 ◽  
Author(s):  
Yaobin Niu ◽  
Zhongwei Wang
Keyword(s):  
Harmonic Balance ◽  
Harmonic Balance Method ◽  
Current Method ◽  
Degree Of Freedom ◽  
Balance Method ◽  
Aerodynamic Load ◽  
Nonlinear Aeroelasticity ◽  
Unsteady Aerodynamic ◽  
Aeroelastic Analysis ◽  
Two Degree Of Freedom

In this paper, a new modified harmonic balance method is presented for the nonlinear aeroelastic analysis of two degree-of-freedom airfoils. Using this method, the nonlinear problem is first translated into a minimization problem, and the Particle Swarm Optimization which has high calculation efficiency is adopted to solve the problem. The proposed method is used to solve the nonlinear aeroelastic behavior of supersonic airfoil, with the unsteady aerodynamic load evaluated by the piston theory. Three examples of nonlinear aeroelasticity with significantly different coefficients are prepared, in which the frequencies and amplitudes of the limit cycles are obtained. The results show that the present current method is computationally more efficient.

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