A novel method for constructing a dynamics model with the flexible characteristics

Abstract

An accurate dynamics model is an essential part of ensuring the effectiveness of constructing flexible dynamical systems in the simulation. Finite element method is an effective method to build a flexible structural dynamics model, but this method will cause the model to have too many orders to increase the difficulty in the simulation. The reduction method based on the finite element principle is an effective method to build a streamlined model. This paper proposes a method that combines the critical modes of the structure and the reduction method based on the finite element model to construct an effective flexible dynamics model. Firstly, the determination of primary and secondary degrees of freedom is provided by the judgment of critical modes. Then, an adequate simulation model and an experimental setup are established respectively based on a flexible structure as an example. Finally, through the simulation comparison, the reduction model and the full-order model keep the same simulation results, but the simulation time consumed by the latter is 13 times of the former. In terms of experimental and simulation comparison, the simulation and the experimental results have the same transient oscillation frequency, and the steady-state angle deviation is 2 mrad.