Periodic response analysis of a misaligned rotor system by harmonic balance method with alternating frequency/time domain technique  

作　　者：LI HongLiang CHEN YuShu HOU Lei ZHANG ZhiYong 

机构地区：[1]School of Astronautics, Harbin Institute of Technology [2]School of Science, Nanjing University of Science and Technology

出　　处：《Science China(Technological Sciences)》2016年第11期1717-1729,共13页中国科学（技术科学英文版）

基　　金：supported by the National Basic Research Program of China("973" Project)(Grant No.2015CB057400);the National Natural Science Foundation of China(Grant No.11302058)

摘　　要：A dynamic model is established for an offset-disc rotor system with a mechanical gear coupling, which takes into consideration the nonlinear restoring force of rotor support and the effect of coupling misalignment. Periodic solutions are obtained through harmonic balance method with alternating frequency/time domain(HB-AFT) technique, and then compared with the results of numerical simulation. Good agreement confirms the feasibility of HB-AFT scheme. Moreover, the Floquet theory is adopted to analyze motion stability of the system when rotor runs at different speed intervals. A simple strategy to determine the monodromy matrix is introduced and two ways towards unstability are found for periodic solutions: the period doubling bifurcation and the secondary Hopf bifurcation. The results obtained will contribute to the global response analysis and dynamic optimal design of rotor systems.

关 键 词：rotor system coupling misalignment harmonic balance method with alternating frequency/time domain（HB-AFT） technique Floquet theory stability BIFURCATION 

分 类 号：TH17[机械工程—机械制造及自动化]