Session: 02-02-01: Aero-, Servo-, Thermo-Elastic Modeling and Optimization of Aerial Vehicles

Paper Number: 138268

138268 - Adjoint-Based Hopf-Bifurcation Instability Sensitivity and Suppression 

Dynamical systems frequently display limit cycle oscillations (LCOs), which are self-sustaining oscillations with limited amplitude. These oscillations can be categorized as either supercritical or subcritical. The supercritical response is considered harmless, while the subcritical response may be bi-stable and demonstrate a hysteretic behavior. To enhance design optimization and avoid subcritical responses, it is advisable to enforce LCO stability. Direct computing LCO can be expensive. This instability can be efficiently captured by the Lyapunov component at the Hopf-bifurcation point. We propose to use the adjoint method to efficiently compute the derivative of the Lyapunov exponent to enable large-scale design optimization. We demonstrate the proposed method with several aeroelastic system where the subcritical bifurcation is suppressed.

Presenting Author: Sicheng He University of Tennessee, Knoxville

Presenting Author Biography: Sicheng He is an assistant professor of the University of Tennessee, Knoxville. He obtained his PhD degree from the University of Michigan, Ann Arbor in 2021. He conducted postdoc research at MIT.