DFP优化算法在热传导反问题中的应用及其改进  

Application of DFP Optimization Method in Inverse Heat Conduction Problems and Its Extending

作　　者：杨东升[1] 李晓桥[1] 樊勇保[1] 石奇峰[1] 

机构地区：[1]沈阳大学机械工程学院,辽宁110041

出　　处：《大型铸锻件》2008年第6期1-4,32,共5页Heavy Casting and Forging

基　　金：辽宁省科技基金(20032003)

摘　　要：通过运用反算法求解液态铝合金的有效热扩散率,介绍了DFP优化算法在热传导反问题中的应用。并且针对热传导反问题的非线性特点,在常规的DFP算法中引入改进的牛顿迭代下山法,还采用了数值精度高的理查得外推法求解梯度。计算结果表明:改进的DFP算法具有更好的数值稳定性、更快的收敛速度及更高的优化结果可靠度。With the effective thermal diffusivity of liquid aluminum alloy, the rate of which is obtained in back calculation method,this paper discusses the application of DFP （Davidon-Fletcher-Powell） optimization method in IHCP （Inverse Heat Conduction Problems）. The DPF method is extended for the non-linear characteristic of IHCP, in which the modified Newton decent method is used to obtain good variables and Richard extrapolation is used to compute the gradient. The result demonstrates that the extended PFP method is more steady, faster and more reliability.

关 键 词：反算法 有效热扩散率 DFP优化算法 热传导反问题 牛顿下山迭代法 理查得外推法 

分 类 号：TJ765.4[兵器科学与技术—武器系统与运用工程]