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

Junwei Shen; Heng Cheng

doi:10.16578/j.issn.1004.2539.2021.04.006

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

Theory·Reserach | 更新时间：2022-11-10

- Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation
- Journal of Mechanical Transmission Vol. 45, Issue 4, Pages: 37-40(2021)
- 作者机构：
  
  1.山西机电职业技术学院机械工程系，山西长治 046000
  2.太原理工大学机械工程学院，山西太原 030024
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.04.006
  CLC：
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申军伟,程珩.随机激励作用下的齿轮时变系统稳态响应研究[J].机械传动,2021,45(04):37-40.

Shen Junwei,Cheng Heng.Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation[J].Journal of Mechanical Transmission,2021,45(04):37-40.
申军伟,程珩.随机激励作用下的齿轮时变系统稳态响应研究[J].机械传动,2021,45(04):37-40. DOI： 10.16578/j.issn.1004.2539.2021.04.006.

Shen Junwei,Cheng Heng.Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation[J].Journal of Mechanical Transmission,2021,45(04):37-40. DOI： 10.16578/j.issn.1004.2539.2021.04.006.

摘要

在外部随机激励作用下，对齿轮传动系统时变啮合刚度的稳态动力响应进行了研究，建立了包含外部随机激励力的周期时变啮合刚度的直齿轮副模型。为了计算齿轮系统的响应，采用了一种非常有效的方法，称为迭代谱方法。该方法主要应用在频域中的推导，并且可提供响应的显式功率谱密度，功率谱密度响应可表示为双谱的函数，即参数系统双时相脉冲响应的双线性傅里叶变换。

Abstract

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.

关键词

齿轮传动参数激励周期刚度随机激励

Keywords

Gear transmissionParametric excitationPeriodic stiffnessStochastic excitation

references

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