On the repeated natural frequencies for torsional vibration of shafts |
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Authors: | Chen Kuifu Jiao Qunying |
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Institution: | College of Engineering Sciences, China Agriculture University, Beijing 100083, P. R. China |
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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. |
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Keywords: | vibration natural frequency torsional vibration shaft system |
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