基于Kriging模型的汽轮机基础动力优化设计

随着汽轮机容量的增加和核电站的迅速发展,汽轮机基础动力优化设计已经成为世界前沿的研究课题.本文提出一种基于Kriging模型的有效优化方法,用以求解上述动力优化设计问题.该问题的优化模型是在汽轮机基础框架重量约束条件下,优化汽轮机基础中柱的位置和粱、柱的截面面积,使基础振动的最大幅值最小化.Kriging模型用于建立基础振动的最大动位移幅值与设计变量间的近似函数关系,从而避免了优化迭代中灵敏度分析.开发了动力分析程序,作为黑箱用于动力响应分析.算例结果表明,本文方法在效率和稳定性上优于序列线性规划方法.

Dynamic optimization design of the turbine frame foundation using Kriging model

An effective optimization method using Kriging model is proposed to solve dynamic optimization design in this paper.The optimization problem is to find the design variable(the sizes variables and the co-ordinates of the nodes of the beams and columns) such that the maximal vibration amplitude is minimum and the structural weight plus certain side constraints are satisfied.Kriging model is used to establish the approximate functional relationship between the forced vibration amplitude and design variables,and avoiding the expensive sensitivity analysis.A dynamic analysis program is developed and used as black-box to obtain dynamic response.Numerical examples are given,and compared with sequential linear programming.The results show that the method has good accuracy and efficiency.