Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation

The study on stationary dynamic response of a gear transmission system with time-varying mesh stiffness subjected to stationary stochastic external excitation is carried out. A spur gear pair model with periodical time-varying mesh stiffness is built to include stochastic external force excitations....

Full description

Bibliographic Details
Main Authors: Junwei Shen, Heng Cheng
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2021-04-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.04.006
_version_ 1826881523570180096
author Junwei Shen
Heng Cheng
author_facet Junwei Shen
Heng Cheng
author_sort Junwei Shen
collection DOAJ
description The study on stationary dynamic response of a gear transmission system with time-varying mesh stiffness subjected to stationary stochastic external excitation is carried out. A spur gear pair model with periodical time-varying mesh stiffness is built to include stochastic external force excitations. In order to compute the stationary response of gear system, a very efficient method, called the iterative spectral method is used. This method is derived in the frequency domain and provides the explicit power spectral density(PSD) of the response. The PSD response is expressed as a function of the bispectrum which is the bilinear Fourier transform of the bitemporal impulse response of the parametric system.
first_indexed 2024-03-13T09:26:08Z
format Article
id doaj.art-607df996822d4816a56ae03a10593e3a
institution Directory Open Access Journal
issn 1004-2539
language zho
last_indexed 2025-02-17T02:46:29Z
publishDate 2021-04-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj.art-607df996822d4816a56ae03a10593e3a2025-01-10T14:53:45ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392021-04-014537408814099Investigation on the Stationary Response of Gear Time-varying System Under Stochastic ExcitationJunwei ShenHeng ChengThe study on stationary dynamic response of a gear transmission system with time-varying mesh stiffness subjected to stationary stochastic external excitation is carried out. A spur gear pair model with periodical time-varying mesh stiffness is built to include stochastic external force excitations. In order to compute the stationary response of gear system, a very efficient method, called the iterative spectral method is used. This method is derived in the frequency domain and provides the explicit power spectral density(PSD) of the response. The PSD response is expressed as a function of the bispectrum which is the bilinear Fourier transform of the bitemporal impulse response of the parametric system.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.04.006Gear transmissionParametric excitationPeriodic stiffnessStochastic excitation
spellingShingle Junwei Shen
Heng Cheng
Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation
Jixie chuandong
Gear transmission
Parametric excitation
Periodic stiffness
Stochastic excitation
title Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation
title_full Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation
title_fullStr Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation
title_full_unstemmed Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation
title_short Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation
title_sort investigation on the stationary response of gear time varying system under stochastic excitation
topic Gear transmission
Parametric excitation
Periodic stiffness
Stochastic excitation
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.04.006
work_keys_str_mv AT junweishen investigationonthestationaryresponseofgeartimevaryingsystemunderstochasticexcitation
AT hengcheng investigationonthestationaryresponseofgeartimevaryingsystemunderstochasticexcitation