Aerothermoelastic topology optimization with flutter and buckling metrics

This work develops a framework for SIMP‐based topology optimization of a metallic panel structure subjected to design‐dependent aerodynamic, inertial, elastic, and thermal loads. Multi‐physics eigenvalue‐based design metrics such as thermal buckling and dynamic flutter are derived, along with their adjoint‐based design derivatives. Locating the flutter point (Hopf‐bifurcation) in a precise and efficient manner is a particular challenge, as is outfitting the optimization problem with sufficient constraints such that the critical flutter mode does not switch during the design process. Results are presented for flutter‐optimal topologies of an unheated panel, thermal buckling‐optimal topologies, and flutter‐optimality of a heated panel (where the latter case presents a topological compromise between the former two). The effect of various constraint boundaries, temperature gradients, and (for the flutter of the heated panel) thermal load magnitude are assessed. Off‐design flutter and thermal buckling boundaries are given as well.