STATISTICAL PROPERTY OF THRESHOLD-CROSSING FOR ZERO-MEAN-VALUED, NARROW-BANDED G

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STATISTICAL PROPERTY OF THRESHOLD-CROSSING FOR ZERO-MEAN-VALUED, NARROW-BANDED GAUSSIAN PROCESSES

Based on a comprehensive discussion of the calculation method for the thresholdcrossing statistics of zero mean valued, narrow banded Gaussian processes of various practical engineering problems, including the threshold- crossing probability, average number of crossing events per unit time, mean threshold-crossing duration and amplitude, a new simple numerical procedure is proposed for the efficient evaluation of mean threshold- crossing duration. A new dimensionless parameter, called the threshold-crossing intensity, is defined as a measure of the threshold-crossing severity, which is equal to the ratio of the product of average number of crossing events per unit time and mean threshold-crossing duration and amplitude over the threshold. It is found, by the calculation results for various combinations of stochastic processes and different thresholds, that the threshold-crossing intensity,irrelevant of the threshold and spectral density of the process, is dependent only on the threshold- crossing probability.

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作 者: 贺五洲 苑明顺  
作者单位:Department of Hydraulic and Hydropower Engineering, Tsinghua University, Beijing 100084, P R China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2001 22(6) 
分类号:O211.6 
关键词:stochastic process   threshold-crossing   statistical property  
机标关键词:dimensionless parameterstochastic processesGaussian processescalculation methodspectral densitystatistics of 
基金项目: 
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