摘要
工程结构参数不可避免存在不确定性,量化结构参数敏感性对结构分析设计具有重要意义。全局敏感性分析方法是评价不确定性参数敏感性的有效方法。蒙特卡洛方法常用于全局敏感性分析,但由于计算成本高,难以应用于复杂工程结构。广义协同高斯过程代理模型将高、低精度模型结合,在保证精度的同时提高计算效率。该文提出基于广义协同高斯过程模型的结构全局敏感性分析解析方法,将高维积分转化为一维积分,实现了全局敏感性指标的解析计算。四参数函数和Borehole函数用来验证所提全局敏感性解析方法的有效性,与蒙特卡洛方法对比,结果表明:该方法具有高精度高效率的优点。将该文所提方法应用于空间网壳结构稳定性的全局敏感性分析,可有效定量结构不确定性参数的敏感性。
Engineering structure parameters are unavoidably subjected to uncertainty.It is important for structural analysis and design to quantify the sensitivity of structural uncertain parameters.Global sensitivity analysis(GSA)is an effective approach to evaluate the sensitivity of uncertain parameters.However,the widely used Monte Carlo simulation(MCS)may be impractical for GSA of complex structures because it needs a large number of runs of the expensive finite element model to obtain a confident estimate of the sensitivity indices.The generalized co-Gaussian process surrogate model(GC-GPM)integrates high-and low-fidelity training samples,which has advantages of high computational accuracy and efficiency.This paper proposes an analytical GSA method based on GC-GPM,which converts high-dimensional integrals into one-dimensional integrals.The sensitivity indices can be analytically obtained.The effectiveness of the proposed analytical GSA method is verified with four-parameter function and borehole function,and the MCS is used for comparison.It can be concluded that the GC-GPM based GSA method has advantages of high computational accuracy and efficiency.The proposed method is applied to the GSA of the stability of a reticulated shell structure,and the sensitivities of structural uncertain parameters are effectively assessed.
作者
万华平
祁尚瑾
张梓楠
葛荟斌
罗尧治
任伟新
WAN Hua-ping;QI Shang-jin;ZHANG Zi-nan;GE Hui-bin;LUO Yao-zhi;REN Wei-xin(Architectural Engineering Institute,Zhejiang University,Hangzhou,Zhejiang 310058,China;College of Civil and Transportation Engineering,Shenzhen University,Shenzhen,Guangdong 518060,China)
出处
《工程力学》
北大核心
2025年第6期185-194,共10页
Engineering Mechanics
基金
国家重点研发计划项目(2021YFF0501001)
浙江省自然科学基金项目(LR23E080003)
浙江省重点研发计划项目(2021C03154)。
关键词
参数不确定性
全局敏感性分析
广义协同高斯过程模型
解析方法
空间结构
parameter uncertainty
global sensitivity analysis
generalized co-gaussian process model
analytical approach
spatial structure
