Modal Derivatives based Reduction Method for Finite Deflections in Floating Frame

摘要: Model order reduction techniques are widely applied in the floating frame of reference. The use linear vibration modes, however, is not applicable when elastic deformations become finite. In this paper, non-linear formulation, where higher-order terms will be included strain energy expression to consider bending-stretching coupling effect, case, complexity formulation diminishes advantages reference because relatively high computational cost. Therefore, basis modes augmented with relevant modal derivatives accurately reproduce nonlinear deformation on reduced basis. numerical results presented paper demonstrate that proposed approach can investigate problems featuring arbitrary large rigid body rotations and finite displacements.