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非高斯平稳相关载荷过程的线性组合

Linear Combination of Non-Gaussian Stationary Dependent Stochastic Load Processes
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摘要 采用 Winterstein的以矩为基础的上通率估计法 ,确定组合载荷的上通率及极值 .利用Terada的矩估计法 ,确定组合载荷的统计矩 .通过对具有不同概率密度函数的载荷过程的组合 ,分析了非高斯性和相关性对组合载荷特征值及载荷组合系数的影响 .结果表明 ,当用平稳随机过程模拟载荷过程时 ,忽略非高斯性及相关性会导致组合载荷特征值的低估 . A new method was developed for determining load characteristic values and combination coefficients. The aim is to evaluate the effect of the non-Gaussian feature of the probability distributions and the correlation between individual load processes on them. Different from Ferry-Borges Castanheta and Possion models used widely in the probabilistic analysis of load combinations, the loads are modeled by stationary stochastic processes. Winterstein's method of analytical moment-based estimate of crossing rate of a stationary stochastic process is employed to determine the up-crossing rate of the individual and combined loads and their extremes in a given period, in which the statistical moments of the combined loads are determined by Terada's evaluating moment method. The effects of the non-Gaussian feature and the correlation between different load processes on the load characteristic values and combination coefficients are investigated. The numerical results show that neglecting the correlation and the non-Gaussian feature can result in the underestimate of the characteristic values of loads when applying stationary stochastic processes to model load processes.
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 2001年第10期1450-1453,共4页 Journal of Shanghai Jiaotong University
基金 船舶工业国防科技应用 基础研究基金资助项目( 98J40 .3.32 )
关键词 载荷组合 随机过程 平均上通率 组合系数 特征值 结构设计 Random processes Structural design Structural loads
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参考文献2

  • 1汪荣鑫,随机过程,1987年
  • 2桑国光,结构可靠性原理及应用,1986年

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