随机质点瞬时流谱圆频率及初相位角分布规律

通过对实时量测的173组、154 271个瞬时流速信号进行分析,以随机理论分析为基础,运用运动流体力学、随机信号分析理论等来研究随机质点瞬时流谱的概率模型,对流体质点瞬时流谱中两个关键因素圆频率及初相位角的概率分布规律进行深入研究和探讨,证明了圆频率服从均匀分布,初相位角服从(0,2π)的均匀分布。此研究对后续随机质点概率模型的重构及随机加速度谱及脉动压力谱的推导打下坚实的理论基础。

Distribution law of circular frequency and initial phase for instantaneous flow spectrum of random particle

After analyzing 154 271 signals of instantaneous velocity of flow collected from 173 groups measured,probability model for instantaneous flow spectrum is established based on stochastic analysis theory,fluid dynamics and stochastic signal analysis theory.According to the research and discussion of distribution law of circular frequency and initial phase,it is found that circular frequency satisfies uniform distribution,initial phasealso satisfies(0,2π)uniform distribution.The research lays a solid foundation for the follow-up study of re-construction of random particle probability model and deduction of random acceleration spectrum and fluctuation pressure spectrum.