起重机吊钩失效的双重响应面联动分析方法  

Double Response Surface Probability Analysis Method for Crane Hooks

作　　者：胡俊逸[1] 金初云[1] 贾相武[1] 程文明[2] HU Jun-yi;JIN Chu-yun;JIA Xiang-wu;CHENG Wen-ming(Rail Transit Department,Zhejiang Institute of Communications,Zhejiang Hangzhou 311112,China;1nstitute of Mechanical Engineering,Southwest Jiaotong University,Sichuan Chengdu 610031,China)

机构地区：[1]浙江交通职业技术学院轨道交通学院,浙江杭州311112 [2]西南交通大学机械工程学院,四川成都610031

出　　处：《机械设计与制造》2022年第6期29-32,共4页Machinery Design & Manufacture

基　　金：国家自然科学基金资助项目—大型起重机仿生结构风致效应特性及抗风减载机理研究(51675450)。

摘　　要：为了更准确地研究在重力加速度、吊钩材料密度、起吊重量为环境变量条件下的吊钩可靠性,以应力和变形为输出响应,采用双重响应面法(Dual Response Surface Method,DRSM)为理论基础对其进行可靠性分析。采用拉丁超立方抽样方法对随机变量进行抽样,将抽样输出数据采用最小二乘法拟合得到应力和应变的响应面方程;结合蒙特卡洛法对两个响应面模型进行联动抽样,计算得到吊钩在静力学条件下的可靠性概率。实例计算表明:当最大允许屈服强度为210MPa,最大允许变形为1mm条件下,其可靠性概率为99.47%。n order to study the reliability of hooks more accurately when taking the density,gravity acceleration and cargo weight as random variables.The reliability analysis is carried out based on the theory of dual response surface method(DRSM).Latin Hypercube Sampling method is used to sample random variables.The response surface equation of stress and strain is obtained by fitting the output data of sampling with least square method.The reliability probability of hook under static condition is calculated by linkage sampling of two response surface models combined with Monte Carlo method.The calculation for the example shows that the reliability probability is 99.47% when the maximum allowable yield strength is 210MPa and the maximum allowable deformation is 1mm.

关 键 词：可靠性分析 双重响应面法 拉丁超立方抽样 蒙特卡洛抽样 

分 类 号：TH16[机械工程—机械制造及自动化] TB114.3[理学—概率论与数理统计]