Model order reduction for dynamic simulation of slender beams undergoing large rotations

In this paper a model order reduction technique for the dynamic simulation of beams undergoing large rotations is presented. The finite element model for the motion of such beams is based on the corotational formulation. The trajectory piecewise linear model order reduction (TPWLMOR) method with second order Krylov subspace is used to obtain the reduced order model from the finite element model. Improvements are suggested to improve the accuracy and the computational efficiency of the TPWLMOR model. Several numerical examples which include forced undamped and damped beams are presented to validate the proposed method.