Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters. (20th December 2016)

• Record Type: Journal Article
• Authors: Cui, C. C.; Liu, J. K.; Chen, Y. M.
• Other Names: Wang Shaoping Academic Editor.
• Is Part Of: International journal of aerospace engineering. Volume 2016(2016)
• Publication Date: 2016-12-20
• Subjects: Aerospace engineering -- Periodicals; 629.105
• DOI: 10.1155/2016/3049163
• Languages: English
• ISSNs: 1687-5966

Abstract

Abstract : This paper presents an analytical feature for limit cycle oscillation (LCO) in the nonlinear aeroelastic system of an airfoil, with major emphasis on its applications in LCO quantification. The nonlinear stiffness is modeled as the product of the p th power of vibration displacement and the q th power of velocity, with its coefficient as a stochastic parameter. One interesting finding is that the LCO amplitude is directly proportional to the 1 / ( 1 - p - q ) th power of the coefficient, whereas the frequency is independent of the coefficient. Based on this feature, the statistics and distribution functions of the LCO amplitude are obtained semianalytically, which are validated by Monte Carlo simulations. In addition, we discuss the possible influences of the nonlinear stiffness on flutter suppression of the airfoil subjected to Gaussian white noises. Surprisingly, increasing the nonlinear stiffness alone does not necessarily reduce the vibration amplitude as expected. Instead, it may sometimes induce disastrous subcritical LCOs with much higher vibration amplitudes.