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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (11): 1279-1285.

• 论文 • 上一篇    下一篇

ON THE REPEATED NATURAL FREQUENCIES FOR TORSIONAL VIBRATION OF SHAFTS

陈奎孚, 焦群英   

  1. College of Engineering Sciences, China Agriculture University, Beijing 100083, P. R. China
  • 收稿日期:1998-06-04 修回日期:1999-05-23 出版日期:1999-11-18 发布日期:1999-11-18

ON THE REPEATED NATURAL FREQUENCIES FOR TORSIONAL VIBRATION OF SHAFTS

Chen Kuifu, Jiao Qunying   

  1. College of Engineering Sciences, China Agriculture University, Beijing 100083, P. R. China
  • Received:1998-06-04 Revised:1999-05-23 Online:1999-11-18 Published:1999-11-18

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摘要： To investigate the repeated frequency condition (RFC) for torsional vibration of shafts’ system, the transfer matrix method was adopted. Firstly, the transfer relationship from the boundary to engaging disks of double shafts’ system(DSS) was constructed. Secondly, the RFC of DSS was deduced out and the methods to select mode shape were presented. Finally, the relationship was extended to multilevel transmission system (MTS), and the RFC of this system was explored. The conclusions is this: 1) the necessary RFC requires the existence of joint engaging couple (JEC);2) for DSS, the sufficient is the number of boundary transfer factors (fB) larger than 2;3) the whole system can be split into independent groups, the total multiplicity is the sum of independent solution number of every group, the latter is the number of independent fB=0 inside the group minus 1.

关键词: vibration, natural frequency, torsional vibration, shaft system

Abstract: To investigate the repeated frequency condition (RFC) for torsional vibration of shafts’ system, the transfer matrix method was adopted. Firstly, the transfer relationship from the boundary to engaging disks of double shafts’ system(DSS) was constructed. Secondly, the RFC of DSS was deduced out and the methods to select mode shape were presented. Finally, the relationship was extended to multilevel transmission system (MTS), and the RFC of this system was explored. The conclusions is this: 1) the necessary RFC requires the existence of joint engaging couple (JEC);2) for DSS, the sufficient is the number of boundary transfer factors (fB) larger than 2;3) the whole system can be split into independent groups, the total multiplicity is the sum of independent solution number of every group, the latter is the number of independent fB=0 inside the group minus 1.

Key words: vibration, natural frequency, torsional vibration, shaft system

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