On the Repeated Natural Frequencies for Torsional Vibration of Shafts

Chen Kuifu; Jiao Qunying

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Chen Kuifu, Jiao Qunying. On the Repeated Natural Frequencies for Torsional Vibration of Shafts[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1187-1192.

Citation:

Chen Kuifu, Jiao Qunying. On the Repeated Natural Frequencies for Torsional Vibration of Shafts[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1187-1192.

Citation:

Chen Kuifu, Jiao Qunying. On the Repeated Natural Frequencies for Torsional Vibration of Shafts[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1187-1192.

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On the Repeated Natural Frequencies for Torsional Vibration of Shafts

College of Engineering Sciences, China Agriculture University, Beijing 100083, P R China

Received Date: 1998-04-06
Rev Recd Date: 1999-05-23
Publish Date: 1999-11-15

Abstract

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 (f_B) 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 f_B=0 inside the group minus 1.
- vibration,
- natural frequency,
- torsional vibration

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References(10)

References

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