随机声载荷作用下的复杂薄壁结构Von Mises应力概率分布研究

沙云东;郭小鹏;廖连芳;解丽娟

振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 137-141.

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PDF(1270 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 137-141.
论文

随机声载荷作用下的复杂薄壁结构Von Mises应力概率分布研究

  • 沙云东1; 郭小鹏2; 廖连芳2; 解丽娟2
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Research on the probability distribution of Von Mises stress for complex thin-walled structures undergoing random acoustic loadings

  • Sha Yundong 1; Guo Xiaopeng 2; Liao Lianfang2; Xie Lijuan2
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摘要

随机声载荷作用下的某些复杂薄壁结构的振动疲劳属于多轴疲劳,Von Mises 应力准则是多轴疲劳损伤分析的一条有效途径。本文通过对有限带宽高斯白噪声载荷作用下结构Von Mises应力概率分布研究,分析提出Von Mises应力服从双参数Weibull分布或Lognormal分布,并且给出了估算这两种概率分布参数的方法,进而得到了Von Mises应力峰值概率密度函数,从而为结构的疲劳损伤寿命估算提供依据。在工程应用中采用耦合的有限元和边界元方法计算了某型航空发动机燃烧室火焰筒薄壁结构在随机声载荷作用下的振动应力响应功率谱密度,着重分析了Von Mises应力响应的概率分布特征,并对分析结果采用Kolmogorov-Smirnov (K-S)检验进行了比较验证。




Abstract

The vibratory fatigue of some complex thin-walled structures undergoing random acoustic loadings is typically of multiaxial fatigue problems, and it is an effective approach to conduct the multiaxial fatigue damage analysis with Von Mises stress criterion. The probability distribution of Von Mises stress is investigated in this paper for structures under band-limited Gaussian white noise loadings. The hypothesis are proposed that Von Mises stress obey two-parameter Weibull distribution or Lognomal distribution, and the method for estimating the parameters of the two kinds of probability distribution are developed. As a result, the peak value probability desenty functions of Von Mises stress can be calculated, and these functions can be used as the basis for estimating the structural fatigue life. In the engineering application, by using coupled FEM/BEM method, the power spectrum density (PSD) of the vibrational stress response of thin-walled structures of an aeroengine combustor liner under random acoustic loadings is calculated, the probability distribution charactoristics of Von Mises stress are analyzed emphatically, and the results are comparetively validated by Kolmogorov-Smirnov(K-S) test.

关键词

火焰筒 / 薄壁结构 / 声疲劳 / Von Mises应力 / 概率密度

Key words

combustor liner / thin-walled structure / sonic fatigue / Von Mises stress / probability density

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沙云东;郭小鹏;廖连芳;解丽娟. 随机声载荷作用下的复杂薄壁结构Von Mises应力概率分布研究[J]. 振动与冲击, 2011, 30(1): 137-141
Sha Yundong;Guo Xiaopeng;Liao Lianfang;Xie Lijuan. Research on the probability distribution of Von Mises stress for complex thin-walled structures undergoing random acoustic loadings[J]. Journal of Vibration and Shock, 2011, 30(1): 137-141

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