静力-随机振动复合工况下Von Mises应力的概率分布及强度评估

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (5) : 188-193.

论文

郝雨，冯加权,胡杰

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Probabilistic distribution of Von Mises stress and strength evaluation of structures under static-random vibration combined condition

HAO Yu, FENG Jiaquan, HU Jie

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文章历史 +

摘要

针对静力-高斯随机载荷复合作用下的线性结构，考察了结构Von Mises应力过程的概率分布，在此基础上，利用中心卡方分布近似研究了一定累积概率（99.73%）水平下Von Mises应力值的计算，提出了静力-随机振动复合条件下的强度评估方法。基于一个数值算例，比较了该方法与Monte Carlo模拟的结果和计算效率，结果表明，该方法具有较高的准确度和计算效率。最后，对目前常用的两种工程近似方法进行了考察，从数学上证明了工程近似方法总是偏于保守，为现有方法提供了理论依据。

Abstract

Aiming at linear structures under combined action of static-Gaussian random loads, probabilistic distribution of structure’s Von Mises stress process was examined.Then the central Chi-squared distribution was used to approximately study Von Mises stress calculation under a certain cumulative probability level of 99.73%.Further, a strength evaluation method was proposed under static-random vibration combined condition.Based on a numerical example, the simulation results and calculation efficiency using the proposed method were compared with those using Monte Carlo method.The results showed that the proposed method has higher accuracy and calculation efficiency.Finally, two commonly used engineering approximation methods were examined to mathematically prove engineering approximation methods being always conservative, and provide a theoretical basis for existing methods.

导出引用

郝雨，冯加权,胡杰. 静力-随机振动复合工况下Von Mises应力的概率分布及强度评估[J]. 振动与冲击, 2020, 39(5): 188-193

HAO Yu, FENG Jiaquan, HU Jie. Probabilistic distribution of Von Mises stress and strength evaluation of structures under static-random vibration combined condition[J]. Journal of Vibration and Shock, 2020, 39(5): 188-193

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