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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Main Authors: Kong Xia, Zhang Jielu, Cai Yunlong
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2015-01-01
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
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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