Study of the conditions that cause chaotic motion in a two-dimensional airfoil with structural nonlinearities in subsonic flow

Piecewise constrained optimization harmonic balance method for predicting the limit cycle oscillations of an airfoil with various nonlinear structures

“…The simulation case l 2 ðαÞ is borrowed from Li et al (2012) and l 3 ðαÞ is simplified from Eq. (5).…”

“…In and Cui et al (2015), bifurcation and LCOs of the aeroelastic systems with freeplay nonlinearity are analyzed and a predictor-corrector algorithm based on the precise integration method is proposed to determine the switching points of the piecewise nonlinearity system. Chaotic response of a two-Dof airfoil in subsonic flow with structural nonlinearities was predicted by Li et al (2012). The rational polynomials have been introduced to properly approximate both the freeplay and hysteresis nonlinearities.…”

“…The rational polynomials have been introduced to properly approximate both the freeplay and hysteresis nonlinearities. To overcome these computational limitations for approximation of the nonlinear forces in Li et al (2012) and Liu et al (2012), a new approach using piecewise integration is proposed in the present contribution.…”

Energy harvesting by means of flow-induced vibrations on aerospace vehicles

“…flutter, limit cycle oscillations, and dynamic response to atmospheric turbulence) and their performance (e.g. decreased control effectiveness and manoeuvrability, increased drag) [7][8][9][10][11][12]. A large body of work on flutter control of aeroelastic systems is available [13][14][15][16][17][18][19].…”

A Highly Accurate Approach for Aeroelastic System with Hysteresis Nonlinearity

“…And the freeplay and hysteresis are the typical nonsmooth nonlinearities arising from aeroelastic systems. They can result in complex nonlinear dynamic responses, such as limit cycle oscillations (LCOs), bifurcations, and chaos [12][13][14][15][16].…”