航空学报 > 2009, Vol. 30 Issue (6): 1007-1011

限带白噪声过程雨流幅值分布

王明珠,姚卫星   

  1. 南京航空航天大学 飞行器先进设计技术国防重点学科实验室
  • 收稿日期:2008-04-16 修回日期:2008-06-23 出版日期:2009-06-25 发布日期:2009-06-25
  • 通讯作者: 姚卫星

Rainflow Amplitude Distribution of Limited Band White Noise Process

Wang Mingzhu, Yao Weixing   

  1. Key Laboratory of Fundamental Science for National DefenseAdvanced Design Technology of Flight Vehicles, Nanjing University of Aeronautics and Astronautics
  • Received:2008-04-16 Revised:2008-06-23 Online:2009-06-25 Published:2009-06-25
  • Contact: Yao Weixing

摘要: 为了在频域内解决限带白噪声载荷作用下结构的疲劳寿命估算问题,提出了限带白噪声过程的雨流幅值分布模型,并给出了参数估算方法。假设雨流幅值可以用双参数Weibull分布来描述,形状参数与带宽系数呈线性关系;尺度参数与均方根呈比例关系;比例因子与不规则因子呈线性关系。数值模拟结果表明:Weibull分布能够很好地描述限带白噪声过程的雨流幅值分布,分布参数能够根据随机过程的谱参数计算得出。

关键词: 结构疲劳, 随机过程, 限带白噪声, 雨流幅值分布, 功率谱密度

Abstract: This article presents a model of rainflow amplitude distribution of a limited band white noise process and an estimation method of parameters in an attempt to provide fatigue life prediction for a structure under limited band white noise loading in the frequency domain. The rainflow amplitude was assumed to conform to biparameter Weibull distribution; the shape parameter is linear with the bandwidth coefficient; the scale parameter exhibits a proportionate relationship with the root mean square, and the scale factor is linear with the irregular factor. The results of numerical simulation show that Weibull distribution can very well describe the rainflow amplitude distribution of a limited band white noise process and that the distribution parameters can be calculated using the spectral parameters.

Key words: structural fatigue, random processes, limited band white noise, rainflow amplitude distribution, power spectral density

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