Global Sensitivity Analysis of Structural Dynamic Characteristics Considering Metamodel Uncertainty
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摘要: 结构参数的不确定性必然导致其动力特性具有不确定性,全局敏感性分析是定量各不确定参数动力特性影响大小的有效手段但是全局敏感性分析具有计算花费高的问题,为此采用快速Gauss(高斯)过程模型来降低计算成本此外,该文采用的是全局Gauss过程模型而不是它的均值函数来进行全局敏感性分析,考虑了替代模型不确定性,给出了敏感性指标的分布该方法的可靠性通过具有解析敏感性指标值的测试函数得到验证最后,将该方法用于安庆铁路长江大桥动力特性的敏感性分析Abstract: Uncertainty of structural parameters will unavoidably lead to uncertainty of structural natural frequencies. The global sensitvity analysis (GSA) is an effective approach to quantify the contributions of individual parameters to the induced uncertainty of dynamic characteristics. However, the GSA has the issue of high computational cost that needs to be addressed. The fast-running Gaussian process model (GPM) was used as a surrogate for the costly computer models, to reduce the computational burden of the GSA. Moreover, the influence of the metamodel uncertainty associated with the GPM was taken into account. The effectiveness of the presented GPM-based method for the GSA was verified with a test function. Finally the GPM-based approach was applied to the GSA of structural dynamic characteristics of the Anqing Yangtze River Railway Bridge.
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