平均应力对非高斯随机振动疲劳损伤的影响研究OA
The influence of mean stress on fatigue damage assessment of non-Gaussian random vibration
疲劳破坏是工程结构的主要失效模式之一,频域法虽然能快速估计疲劳损伤率,但在处理非高斯随机载荷时难以有效考虑每个应力循环均值的影响.为此,系统性探究平均应力对非高斯随机振动疲劳损伤的影响十分重要.首先,采用三角级数法生成高斯随机过程,并利用非线性变换模型引入非高斯特性,得到非高斯随机过程;其次,综合考虑功率谱形状、带宽、偏度、峰度、全局平均应力及应力循环均值;最后,通过数值模拟探究各条件下平均应力对非高斯疲劳损伤计算的影响.结果表明,对于高斯及零偏度非高斯荷载,考虑全局平均应力的频域法可以有效预测疲劳损伤;但在承受较大偏度的非高斯荷载时,应力循环均值分布受偏度与峰度耦合作用影响,此时有必要用时域法考虑每个应力循环的均值.
Fatigue failure represents one of the primary failure modes in engineering structures.Although the frequency domain method can quickly estimate the fatigue damage rate,it struggles to effectively consider the influence of the mean of each stress cycle when dealing with non-Gaussian random loads.Therefore,systematically investigating the influence of mean stress on fatigue damage under non-Gaussian random vibrations is crucial.Firstly,a Gaussian random process is generated using the trigonometric series method,and non-Gaussian characteristics are introduced through a nonlinear transformation model.Secondly,the power spectral shape,bandwidth,skewness,kurtosis,global mean stress and the mean of each stress cycle are comprehensively considered.Finally,numerical simulations are conducted to investigate the influence of mean stress on non-Gaussian fatigue damage calculations under various conditions.The results show that the frequency domain method considering the global mean stress can effectively estimate fatigue damage under Gaussian and zero-skewness non-Gaussian loads.However,when subjected to non-Gaussian loads with significant skewness,the mean distribution of stress cycles is influenced by the coupled effects of skewness and kurtosis.At this point,it is necessary to use the time-domain method to consider the mean of each stress cycle.
李锦华;曾锦航;李芳华;崔胜超;邹秀龙
华东交通大学土木建筑学院,南昌 330013华东交通大学土木建筑学院,南昌 330013南昌铁路天河建设有限公司,南昌 330026华东交通大学土木建筑学院,南昌 330013华东交通大学土木建筑学院,南昌 330013
数理科学
疲劳损伤平均应力时域法频域法非高斯特性
fatigue damagemean stresstime-domain methodfrequency-domain methodnon-Gaussian
《计算力学学报》 2026 (3)
395-403,9
国家自然科学基金(11962006)江西省自然科学基金(20232BAB204067)资助项目.
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