Reduced-order modeling of geometrically nonlinear rotating structures using the direct parametrisation of invariant manifolds

The direct parametrisation method for invariant manifolds is a nonlinear reduction technique which derives mappings and reduced-order dynamics that describe the evolution of dynamical systems along low-dimensional invariant-based span phase space. It can be directly applied to finite element problems. When development performed using an arbitrary order asymptotic expansion, it provides efficient modeling strategy geometrically structures. here case rotating structures featuring centrifugal effect. A cantilever beam with large amplitude vibrations first selected in highlight main features method. Numerical results show accurate models (ROMs) any rotation speed vibration interest single master mode, thus offering remarkable computational burden. hardening/softening transition fundamental flexural mode increasing then investigated detail ROM parametrised respect forcing frequencies detailed. twisted plate model representative fan blade, showing how handle more complex Hardening/softening also as well interpolation ROMs, highlighting efficacy