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随机激励作用下的齿轮时变系统稳态响应研究

Investigation on the Stationary Response of Gear Time-varying System Under Stochastic Excitation
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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。 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 com⁃pute 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 re⁃sponse.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.
作者 申军伟 程珩 Shen Junwei;Cheng Heng(Department of Mechanical Engineering,Shanxi Institute of Mechanical and Electrical Engineering,Changzhi 046000,China;College of Mechanical Engineering,Taiyuan University of Technology,Taiyuan 030024,China)
出处 《机械传动》 北大核心 2021年第4期37-40,87,共5页 Journal of Mechanical Transmission
关键词 齿轮传动 参数激励 周期刚度 随机激励 Gear transmission Parametric excitation Periodic stiffness Stochastic excitation
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