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A new mathematical modeling method for four-stage helicopter main gearbox and dynamic response optimization

A new mathematical modeling method for four-stage helicopter main gearbox and dynamic response optimization
A new mathematical modeling method for four-stage helicopter main gearbox and dynamic response optimization
A new mathematical modeling method, namely the finite element method and the lumped mass method (LMM-FEM) mixed modeling, is applied to establish the overall multi-node dynamic model of a four-stage helicopter main gearbox. The design of structural parameters of the shaft is the critical link in the four-stage gearbox, it affects the response of multiple input and output branches; however, only the meshing pairs were frequently shown in the dynamic model in previous research. Therefore, each shaft is also treated as a single node and the shaft parameters are coupled into the dynamic equations in this method, which is more accurate for the transmission chain. The differential equations of the system are solved by the Fourier series method, and the dynamic response of each meshing element is calculated. The sensitivity analysis method and parameter optimization method are applied to obtain the key shaft parameters corresponding to each meshing element. The results show that the magnitude of dynamic response in converging meshing pair and tail output pair are higher than that of other meshing pairs, and the wall thickness has great sensitivity to rotor shaft. In addition, the sensitivity analysis method can be used to select the corresponding shaft node efficiently and choose parameters appropriately for reducing the system response.
1-14
Chen, Yuan
05bcc581-b03f-44a8-b0e0-f27f889ec994
Zhu, Rupeng
4b626b92-10d5-4e6a-82b4-7f80b5f095fb
Jin, Guanghu
dedf2548-7411-4577-ac22-49aa7e937a60
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49
Chen, Yuan
05bcc581-b03f-44a8-b0e0-f27f889ec994
Zhu, Rupeng
4b626b92-10d5-4e6a-82b4-7f80b5f095fb
Jin, Guanghu
dedf2548-7411-4577-ac22-49aa7e937a60
Xiong, Yeping
51be8714-186e-4d2f-8e03-f44c428a4a49

Chen, Yuan, Zhu, Rupeng, Jin, Guanghu and Xiong, Yeping (2019) A new mathematical modeling method for four-stage helicopter main gearbox and dynamic response optimization. Complexity, 2019, 1-14, [5274712]. (doi:10.1155/2019/5274712).

Record type: Article

Abstract

A new mathematical modeling method, namely the finite element method and the lumped mass method (LMM-FEM) mixed modeling, is applied to establish the overall multi-node dynamic model of a four-stage helicopter main gearbox. The design of structural parameters of the shaft is the critical link in the four-stage gearbox, it affects the response of multiple input and output branches; however, only the meshing pairs were frequently shown in the dynamic model in previous research. Therefore, each shaft is also treated as a single node and the shaft parameters are coupled into the dynamic equations in this method, which is more accurate for the transmission chain. The differential equations of the system are solved by the Fourier series method, and the dynamic response of each meshing element is calculated. The sensitivity analysis method and parameter optimization method are applied to obtain the key shaft parameters corresponding to each meshing element. The results show that the magnitude of dynamic response in converging meshing pair and tail output pair are higher than that of other meshing pairs, and the wall thickness has great sensitivity to rotor shaft. In addition, the sensitivity analysis method can be used to select the corresponding shaft node efficiently and choose parameters appropriately for reducing the system response.

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Complexity Accepted manuscript Chen & Xiong - Accepted Manuscript
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More information

Accepted/In Press date: 4 September 2018
e-pub ahead of print date: 26 February 2019
Published date: 26 February 2019

Identifiers

Local EPrints ID: 425278
URI: http://eprints.soton.ac.uk/id/eprint/425278
PURE UUID: 02c9edcf-c7cb-4507-ac81-e6f95913a1fd
ORCID for Yeping Xiong: ORCID iD orcid.org/0000-0002-0135-8464

Catalogue record

Date deposited: 12 Oct 2018 16:30
Last modified: 07 Oct 2020 06:10

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