基于β分布随机数排序的非高斯振动模拟方法

摘要

研究了按自谱和峭度产生非高斯随机波形的窗函数调制方法.引进了表征非平稳非高斯随机振动的新参数——跌宕周期,提出了重构非高斯随机振动的新方法——β分布随机数重新排列技术.新的重构方法既可以生成平稳非高斯随机序列又能生成非平稳非高斯随机序列.分析典型结构在非高斯振动激励下的响应,研究跌宕周期对累积损伤的影响,数值计算结果与物理试验结果一致.%The amplitude modulation technique used as generating non-Gaussian random wave with a given power spectral density and kurtosis is developed. A new parameter--"roll period"is presented to characterize non-stationary random vibration. A new method--rearrangement technique of β distribution random number is presented to reconstruct non-stationary random vibration. The new technique is used up in generating stationary, non-Gaussian sequence and non-stationary, non-Gaussian sequence. The response kurtosis and cumulate damage for a simple structure is considered to demonstrate how these quantities change for non-Gaussian loadings with differing roll period wave character. The result of the numerical simulations is consistent with the physics testing.