CAJ | 학술논문

针对具有多维随机变量、隐式功能函数特点的复杂结构可靠度分析问题，结合拉丁超立方抽样（LHS）法与均匀设计响应面法，提出基于拉丁抽样均匀设计的混合模拟法。利用L HS法选取灵敏度较高的输入变量继续作为随机变量。通过M atlab语言编写L2‐偏差最小的均匀设计表程序，根据生成的均匀设计表选取随机变量的取样点，在构造响应面方程的迭代过程中利用JC法求解结构失效概率。通过2个经典可靠度算例和1个连续刚构桥可靠度算例验证了混合模拟法的适用性。研究结果表明，采用该方法可以精确、高效地求解具有多维随机变量的结构可靠度问题，提高计算效率。
침대구유다유수궤변량、은식공능함수특점적복잡결구가고도분석문제，결합랍정초립방추양（LHS）법여균균설계향응면법，제출기우랍정추양균균설계적혼합모의법。이용L HS법선취령민도교고적수입변량계속작위수궤변량。통과M atlab어언편사L2‐편차최소적균균설계표정서，근거생성적균균설계표선취수궤변량적취양점，재구조향응면방정적질대과정중이용JC법구해결구실효개솔。통과2개경전가고도산례화1개련속강구교가고도산례험증료혼합모의법적괄용성。연구결과표명，채용해방법가이정학、고효지구해구유다유수궤변량적결구가고도문제，제고계산효솔。
A hybrid simulation method based on Latin hypercube sampling (L HS ) and uniform design response surface method (LUH) was proposed aiming at reliability analysis problems of complex structure with multivariate random variables and implicit limit state function . The input variables with higher sensitivity factors were selected by LHS method and were treated sequentially as stochastic variables .The program of uniform design table with minimum L2‐deviation was compiled in software Matlab and the sample points for stochastic variables were selected according to the uniform design table .The structure failure probability was calculated by JC method during iterative process of constructing response surface equations .The feasibility of the hybrid simulation method was verified by two classical numerical examples for structural reliability analysis and one numerical example for structural reliability analysis of a continuous rigid frame bridge .Results show that the proposed method can accurately and efficiently solve the reliability analysis problems for the structure with multivariate random variables .