基于遗传模拟退火算法的结构可靠性分析  

Structural reliability analysis based on genetic simulated annealing algorithm

作　　者：龙兵[1] 安伟光 姜兴渭[3] 

机构地区：[1]电子科技大学自动化学院,四川成都610054 [2]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001 [3]哈尔滨工业大学航天学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2005年第6期753-757,共5页Journal of Harbin Engineering University

基　　金：国防科技工业委员会基础研究基金资助项目(Z192001A001);国家863基金资助项目(2002AA721063)

摘　　要：为了克服一次二矩法在迭代求可靠性指标时可能不收敛或收敛于局部验算点的缺点以及现有遗传算法局部搜索效率不高的问题,提出了采用混合模拟退火与遗传算法计算结构可靠性的新方法.先采用遗传算法开始随机搜索,通过选择、交叉、变异等遗传操作产生新的个体,再对这些个体分别进行模拟退火,以其结果作为下一代群体中的个体.结合有限元计算,给出了船舶三维空间梁板结构的功能函数,并采用遗传模拟退火算法求结构可靠性指标.算例分析表明该方法计算精度高,为求解结构可靠性指标提供了一种新的思路.To overcome the disadvantage of non-convergence or convergence to a local optimal point obtained by the first-order reliability method （FOSM） and the low efficiency problem related to the current genetic algorithm, a new method to compute the structural reliability index is proposed that combines the genetic algorithm and the simulated annealing algorithm. First the genetic algorithm was used to produce a new population by selection, crossover, and mutation. Then the individual of the population was simulated annealing respectively and the resultant new individuals were passed to the next generation. Formulas related to the function of a spatial girder element and panel element for a ship structure were given combining the finite element method （FEM）, and the reliability index was obtained by a genetic simulated annealing algorithm. The example shows that this new method of structural reliability analysis is more precise than traditional methods.

关 键 词：结构可靠性 遗传算法 模拟退火 有限元法 空间梁板结构 

分 类 号：O213.2[理学—概率论与数理统计]