Aeroelastic stability analysis via multiparameter eigenvalue problems
This paper presents a new method of identifying and analysing stability boundaries in parametric systems using multiparameter spectral theory. Considering our driving application, the analysis of aeroelastic flutter instability, we identify methods by which the location of the stability boundary be expressed as a multiparameter eigenvalue problem and thus solved. This approach yields far-reaching results, including direct solvers for arbitrarily large polynomial problems, iterative and approximate direct solvers for systems that are strongly nonlinear in the frequency domain, and a novel method of system visualisation. These solvers and methods are tested on two aeroelastic section models and the Goland wing benchmark model, and their advantages and limitations are explored.