随机质点瞬时加速度谱的构建方法探讨

Establishment Method of Probability Model for Acceleration of Random Particle

基于随机过程理论、应用统计学、随机信号分析理论,通过试验实时量测了5种不同流量条件下,顶冲角度分别为83.87°、54.82°、21.71°、2.24°时,不同断面水深对应的60余组瞬时流速信号,构建了随机质点瞬时流速概率模型,并以此推出了随机质点瞬时加速度谱概率模型及随机波列模拟方法。结果表明:基于赖斯白噪声理论的波动模拟新方法构建随机质点瞬时流速概率模型精准可靠,推求的随机质点瞬时加速度谱真实有效。

In this paper, the random process theory, statistics and process signal analysis theory were applied to establish probability model for in- stantaneous velocity of flow of random particle, based on over 60-group instantaneous velocity of flow signals under 5 different currents （46.2, 90.6, 158.0,343.4,527.0 L/s）, 4 different vertex angles （83.87~, 54.82~, 21.71 o, 2.24~ ） and different section depths. A random particle acceleration instantaneous spectral probability model and random wave simulation method were put forward. The results show that the precision of random partiele velocity spectral probability model is reliable with a new method of wave simulation based on the Rice white noise theory, thus deri- ving spectral stoehastic particle acceleration instantaneous spectrum method to be real and effective.