Modeling unbalanced rotor system with continuous viscoelastic shaft by frequency-dependent shape function  

作　　者：王书翰 郭伟 徐向阳 刘艳芳 黎文勇 

机构地区：[1]School of Transportation Science and Engineering, Beihang University [2]ITI GmbH

出　　处：《Journal of Central South University》2013年第12期3421-3430,共10页中南大学学报（英文版）

基　　金：Project(51105017)supported by National Natural Science Foundation of China;Project(2011BAG09B00)supported by the National Science and Technology Support Program,China;Project(2010DFB80020)supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China

摘　　要：A reduced-order dynamic model for an unbalanced rotor system is developed, taking the coupling between torsional and lateral vibrations into account. It is assumed that a shaft is regarded as a continuous viscoelastic shaft with unbalanced and small deformation properties. The equations of motion for the torsional and lateral vibrations are derived using Lagrange's approach with the frequency-dependent shape function. The rotor torsional vibration is coupled with the lateral vibrations by unbalance elements in a way of excitations. Simulation and experiment results show clearly that the torsional vibration has strong impact on the rotor lateral vibrations, and it causes subharmonic and superharmonic excitations through unbalance elements, which leads to the superharmonic resonances in the lateral vibrations. This model with low-order and high accuracy is suitable for rotor dynamic analysis in real time simulation as well as for active vibration control syntheses.A reduced-order dynamic model for an unbalanced rotor system is developed, taking the coupling between torsional and lateral vibrations into account. It is assumed that a shaft is regarded as a continuous viscoelastic shaft with unbalanced and small deformation properties. The equations of motion for the torsional and lateral vibrations are derived using Lagrange＇s approach with the frequency-dependent shape function. The rotor torsional vibration is coupled with the lateral vibrations by unbalance elements in a way of excitations. Simulation and experiment results show clearly that the torsional vibration has strong impact on the rotor lateral vibrations, and it causes subharmonic and superharmonic excitations through unbalance elements, which leads to the superharmonic resonances in the lateral vibrations. This model with low-order and high accuracy is suitable for rotor dynamic analysis in real time simulation as well as for active vibration control syntheses.

关 键 词：rotor dynamics distributed unbalance rotor shape function torsional and lateral vibrations coupling 

分 类 号：TH133.2[机械工程—机械制造及自动化]