基于状态空间响应面方法的结构系统可靠度分析  

ANALYSIS OF STRUCTURAL SYSTEM RELIABILITY BASED ON STATE SPACE RESPONSE SURFACE METHOD

作　　者：蒋友宝[1] 冯健[1] 孟少平[1] 

机构地区：[1]东南大学混凝土及预应力混凝土结构教育部重点实验室,江苏南京210096

出　　处：《工程力学》2007年第1期27-32,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(50478075);江苏省自然科学基金项目(BK2003061)

摘　　要：提出一种在有限元分析中判定结构系统是否失效的准则。实例验证该准则具有较高的可信度。依据该准则经有限元分析可确定样本点所在的状态空间。建立起一种重构结构功能函数的统一方法:状态空间响应面方法,解决了一般响应面方法不能求解输出变量不连续分布的问题。该方法以样本点距离失效空间和可靠空间的距离之差作为样本点的输出变量。数值仿真实例表明该方法有一定的广泛性并具有较高的精度。A rule to determine whether a structure has failed or not in the finite element method （FEM） analysis is proposed in this paper. An example proves that the rule is of high credibility. Based on the rule, the state space of sampling point can be located. A unified method to restructure the performance function called the state space response surface method is built. It is valid when output variable is not continuous while the general response surface is not. The new method takes the difference between the distance from sampling point to failure space and the distance from sampling point to reliable space as the output variable. Numerical simulation experiments show that this method is of universality and precision.

关 键 词：结构工程 可靠度 有限元 状态空间 距离判别分析 

分 类 号：TU311[建筑科学—结构工程]