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桥梁结构参数的不确定性必然导致其固有频率具有不确定性,量化固有频率的不确定性可为与动力特性相关的桥梁结构分析与设计工作提供更为准确的动力特性信息.均值和方差是刻画固有频率不确定性的两个非常重要的统计特性,本文旨在探讨一种可用于快速有效计算桥梁结构固有频率的均值和方差的方法.桥梁结构通常具有结构形式复杂,尺寸大等特点,传统的蒙特卡洛方法因计算花费高而使用受限.本文采用高斯过程模型取代复杂的桥梁结构有限元模型来表征不确定参数与固有频率的关系,快速有效地计算固有频率的均值和方差.该方法适用于参数服从任意概率分布的情形,其可靠性通过具有解析均值和方差的函数得到验证.最后,本文的高斯过程模型方法用来计算安庆铁路长江大桥固有频率的统计特性.
Uncertainty of bridge structural parameters inevitably leads to uncertainty of its natural frequency, and the uncertainty of natural frequency can provide more accurate dynamic characteristic information for bridge structural analysis and design work related to dynamic characteristics. The mean and variance are This paper aims to explore a method that can be used to calculate the mean and variance of natural frequency of bridge structure quickly and effectively.The bridge structure usually has the characteristics of complex structure and large size, The traditional Monte Carlo method is limited by the high computational cost.In this paper, the Gauss process model is used to replace the complex finite element model of bridge structure to characterize the relationship between uncertain parameters and natural frequency, and calculate the mean and variance of natural frequencies quickly and effectively. This method is suitable for the case that the parameters are subject to arbitrary probability distributions and its reliability is verified by a function with analytic mean and variance.Finally, the Gaussian process model method in this paper is used to calculate the statistical properties of the natural frequency of the Anqing Railway Yangtze River Bridge.