1. Influence of shaft torsional stiffness on natural characteristics of four-stage main transmission system in three-engine helicopter
- Author
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Ru Peng Zhu, Yuan Chen, Guang Hu Jin, and Yeping Xiong
- Subjects
0209 industrial biotechnology ,helicopter transmission system ,Differential equation ,lcsh:Mechanical engineering and machinery ,02 engineering and technology ,symbols.namesake ,020901 industrial engineering & automation ,0203 mechanical engineering ,natural characteristics ,Carrying capacity ,General Materials Science ,lcsh:TJ1-1570 ,Mathematics ,Variable (mathematics) ,business.industry ,Mechanical Engineering ,four-stage reducer ,Natural frequency ,Transmission system ,Structural engineering ,torsional stiffness ,Vibration ,020303 mechanical engineering & transports ,Fourier transform ,Modal ,symbols ,business - Abstract
Four-stage main helicopter transmission system occupies several strong points like good carrying capacity and is addressed by many scholars. However, the influence of variable parameters on natural characteristics in a three-engine helicopter, is not to be investigated, according to the limited published issues. Thus, in the study, a vibration model of the four-stage main helicopter transmission system is established through the lumped mass method. In the model, many factors, including time-varying meshing stiffness and torsional stiffness of gear shaft are considered. The differential equation of the system is solved via the Fourier method, 27-orders natural frequency and modal shape corresponded by each degree of freedom (DOF) of the system are obtained. The influence of the shaft torsional stiffness on the first five orders of the system natural frequency is studied. Besides, the impact of the matching relationship of key shafts’ torsional stiffness on the system stability is analyzed. These contributions would improve modification developments of four-stage deceleration helicopter in future.
- Published
- 2018