Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball Transmission
A torsional vibration model of the K- H- V cycloid steel ball transmission system is established with considering the direction changing of engagement force and the multi- balls engagement in transmission process. By analyzing the position relationships of each engagement force and the displacement...
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Language: | zho |
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Editorial Office of Journal of Mechanical Transmission
2015-01-01
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Series: | Jixie chuandong |
Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.09.034 |
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author | Kong Xia Zhang Jielu Cai Yunlong |
author_facet | Kong Xia Zhang Jielu Cai Yunlong |
author_sort | Kong Xia |
collection | DOAJ |
description | A torsional vibration model of the K- H- V cycloid steel ball transmission system is established with considering the direction changing of engagement force and the multi- balls engagement in transmission process. By analyzing the position relationships of each engagement force and the displacement relationships of each component,the governing differential equations of the system and the dimensionless equivalent engagement rigidities of each transmission disc are derived. And then,the frequency spectrum of the engagement rigidity excitation is analyzed,and the influences of the system transmission ratio and the cycloid curtate coefficient to the engagement rigidity excitation are discussed. At last,the natural frequency,the principal mode and the steady- state response of system are calculated. The results show that the cycloid steel ball transmission system is a parametric vibration system. The engagement rigidity excitation between the center disc and the planetary disc is a periodic and time- variant function,and the high- order harmonic components are included in the frequency spectrum. |
format | Article |
id | doaj-art-87787accf453468d96b437b09c772f56 |
institution | Kabale University |
issn | 1004-2539 |
language | zho |
publishDate | 2015-01-01 |
publisher | Editorial Office of Journal of Mechanical Transmission |
record_format | Article |
series | Jixie chuandong |
spelling | doaj-art-87787accf453468d96b437b09c772f562025-01-10T14:04:46ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392015-01-013913614129919032Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball TransmissionKong XiaZhang JieluCai YunlongA torsional vibration model of the K- H- V cycloid steel ball transmission system is established with considering the direction changing of engagement force and the multi- balls engagement in transmission process. By analyzing the position relationships of each engagement force and the displacement relationships of each component,the governing differential equations of the system and the dimensionless equivalent engagement rigidities of each transmission disc are derived. And then,the frequency spectrum of the engagement rigidity excitation is analyzed,and the influences of the system transmission ratio and the cycloid curtate coefficient to the engagement rigidity excitation are discussed. At last,the natural frequency,the principal mode and the steady- state response of system are calculated. The results show that the cycloid steel ball transmission system is a parametric vibration system. The engagement rigidity excitation between the center disc and the planetary disc is a periodic and time- variant function,and the high- order harmonic components are included in the frequency spectrum.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.09.034 |
spellingShingle | Kong Xia Zhang Jielu Cai Yunlong Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball Transmission Jixie chuandong |
title | Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball Transmission |
title_full | Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball Transmission |
title_fullStr | Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball Transmission |
title_full_unstemmed | Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball Transmission |
title_short | Analysis of the Torsional Vibration Modeling and Rigidity Excitation of K-H-V Cycloid Steel Ball Transmission |
title_sort | analysis of the torsional vibration modeling and rigidity excitation of k h v cycloid steel ball transmission |
url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.09.034 |
work_keys_str_mv | AT kongxia analysisofthetorsionalvibrationmodelingandrigidityexcitationofkhvcycloidsteelballtransmission AT zhangjielu analysisofthetorsionalvibrationmodelingandrigidityexcitationofkhvcycloidsteelballtransmission AT caiyunlong analysisofthetorsionalvibrationmodelingandrigidityexcitationofkhvcycloidsteelballtransmission |