随机性结构静力区间分析的遗传优化算法

Genetic Optimization Algorithms of Static Interval Analysis of Randomness Structure

对结构随机性问题的区间有限元分析提出一种遗传优化算法,此方法以控制方程的最小二乘响应面为目标函数,将模拟生物的遗传和进化过程作为函数的优化过程进而获得方程的区间解。该方法具有全局收敛、不要求导数信息、无需编写复杂程序在常规有限元软件上易于实施等优点。算例分析表明该算法计算效率和准确性较高。

A genetic optimization algorithm is presented for interval finite element analysis method（FEM） of structure randomness problem.In this method,the Least Square Regression Response Surface（LSRRS） of control equations is taken as objective function and the process of biotic genetics and evolution is regarded as the process of function optimization,then interval solutions of equations are obtained.The algorithm has the advantages of global convergence and not needing derivative information,and is easy to implement on the conventional finite element software without writing complicated programs and so on.A numerical example shows that the method has a high calculating efficiency and accuracy.