Harmonic Balance Methodology for Meshless Particle-Based Methods

Two novel Time Reduced-Order Models (TROMs) for time-periodic problems, the High-Dimensional Harmonic Balance method and Harmonic Multiple Shooting method, are developed in the context of the meshless, particlebased methods. The use of such techniques can greatly reduce the computational time for problems that can be considered time-periodic, which is frequently observed in aeroelastic problems such as flutter, limit cycle oscillations (LCO), etc. These algorithms will be implemented into the comprehensive aeroservothermoelasticity and propulsion modeling and simulation tool - ASTE-P that has been developed by Advanced Dynamics Inc. One of the important modules for aeroelastic modeling and simulation in ASTE-P is based upon the particle-based method which can efficiently and accurately handle fluid-structural interactions with large structural deformation and/or motions. The results obtained for both ROMS of particle-based harmonic balance methods were found to be encouraging.