基于联合概率密度的随机声疲劳寿命估算方法
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    摘要:

    针对燃烧室火焰筒结构随机声疲劳问题,根据有限带宽高斯白噪声载荷作用下结构振 动响应功率谱密度得到雨流循环均值幅值条件概率的计算式,结合雨流循环幅值概率密度Dirlik经验公式推导出雨流循环均值幅值联合概率密度函数,克服了在疲劳寿命估算中只考虑幅值、忽略雨流循环均值影响的局限性。根据Miner线性累积损伤理论, 运用获得的联合概率密度函数建立声疲劳寿命的估算方法。以某型航空发动机燃烧室火焰筒结构为例,利用耦合的有限元和边界元方法进行振动响应计算分析。基于应力响应结果,运用 提出的方法对火焰筒结构进行疲劳寿命估算,并分析不同声压级的声载荷对火焰筒结构 疲劳寿命的影响。研究表明,该方法对航空薄壁结构声疲劳寿命分析具有适用性。

    Abstract:

    For random sonic fatigue problem of thin-walled structures, this paper put the calculation formula for mean-amplitude conditional probability of rain flow loop based on the vibrational response power spectral density(PSD) of structures subjected to acoustic loadings, combined with Dirlik experience formula for the amplitude probability density of a rain flow loop, the practical algorithm is derived for calculating the joint mean-amplitude probability density of rain flow loop, which effectively overcome the limitation caused by that only the amplitude can be considered for fatigue life estimation, and the mean values of rain flow loop are ignored. According to Miner linear cumulative damage theory, the estimation method for sonic fatigue life is build up by applying the obtained joint probability density. As an numerical example, an aeroengine combustor liner structure is selected, the vibrational response is simulated by using coupled finite element method (FEM) and boundary element method (BEM), and based on the results of stress response, the sonic fatigue life of the liner is estimated by applying the proposed method. The influences of different sound pressure levels on fatigue life of the liner are emphatically analyzed. The results show that the method proposed in this paper is of adaptability for sonic fatigue life analys is of aero-thin-walled structures.

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  • 在线发布日期: 2012-05-16
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