自适应移动Kriging插值响应面可靠性分析方法及其应用研究

Structural reliability analysis is an important aspect of structural design and optimization in modern engineering, which is of significance to ensure the safety and normal running of structures and avoid great economic losses and casualties. Response surface method for stochastic reliability analysis is widely used in the design and analysis of engineering structures due to its simplicity and effectivity. It is about to be improved and generalized in this project, and an adaptive moving Kriging interpolation response surface method for reliability analysis will be proposed. Making the most of characters of moving Kriging interpolation method such as Kronecker δ, and based on the attained research results about the moving Kriging interpolation response surface method for reliability analysis, this project will further focus on the adaptive loop iteration strategy on the selection of correlation function parameter, experimental sampling points and interpolation basis functions used to constructing the moving Kriging interpolation response surface, correspondingly improve the form of moving Kriging interpolation response surface function, and apply it to solve reliability analysis problems combining with first/second order reliability method (FORM/SORM) or line sampling method and etc., so as to set up the reliability analysis method with more accuracy and efficiency. It will enrich and develop current structural reliability analysis method, which has the theory significance and engineering value. The research results will have broad application prospects in the reliability analysis and optimization of practical engineering structures.

结构可靠性分析是现代工程结构设计与优化的重要内容，它对保障结构正常运营和安全，避免重大的经济损失和人员伤亡具有重要意义。响应面随机可靠性分析方法简单有效，在工程结构设计与分析领域得到广泛的应用，本项目拟对该方法进行改进和推广，提出一种自适应移动Kriging插值响应面可靠性分析方法。利用移动Kriging插值方法的Kronecker δ等特性，在已取得的移动Kriging插值响应面可靠性分析方法研究成果基础上，进一步研究构造响应面的相关性函数参数、试验样本点、插值基函数自适应循环迭代选取策略，改进移动Kriging插值响应面函数的构造形式，结合一阶、二阶可靠性分析方法或线抽样等方法将其应用于求解可靠性分析问题，以构造高精度和高效率的可靠性分析方法。本项目将丰富和发展现有的结构可靠性分析方法，具有重要的理论意义和工程价值，研究成果在实际工程结构的可靠性分析及优化设计中将有广阔的应用前景。

结构可靠性分析是现代工程结构设计与优化的重要内容，它对保障结构正常运营和安全，避免重大的经济损失和人员伤亡具有重要意义。响应面随机可靠性分析方法简单有效，在工程结构设计与分析领域得到广泛的应用，本项目对该方法进行了改进和推广，提出新的自适应移动Kriging插值响应面可靠性分析方法。利用移动Kriging插值方法的Kronecker δ特性，在已取得的移动Kriging插值响应面可靠性分析方法研究成果基础上，进一步研究构造响应面的相关性函数参数、试验样本点、插值基函数自适应循环迭代选取策略，改进移动Kriging插值响应面函数的构造形式，结合一阶、二阶可靠性分析方法或线抽样等方法将其应用于求解可靠性分析问题，以构造高精度和高效率的可靠性分析方法。本项目是对现有结构可靠性分析方法的丰富和发展，有一定的理论意义和工程价值，研究成果可广泛应用于实际工程结构的可靠性分析及其优化设计。