摘要
基于单纯形加速理论,对混凝土瞬态温度场热学参数进行了反演研究。基于Bayes理论,推导了混凝土瞬态温度场热学参数的动态误差函数。利用单纯形加速理论优化动态误差函数,研究了热学参数的反演方法,编制了相应的计算程序。从理论推导和典型算例分析可知,利用单纯形加速理论反演混凝土瞬态温度场热学参数时,只需利用若干点温度观测值即可同时进行多个热学参数的反演分析,且无需计算误差函数对待估参数的偏导数,大大提高了计算效率。计算结果表明,单纯形加速理论用于温度场热学参数的动态反演是适合的,具有良好的计算精度和数值稳定性。
Inverse analysis of thermal parameters of transient temperature field of concrete structure is studied on basis of simplex accelerated theory.Based on Bayesian theory,dynamic error function of thermal parameters is derived.And then simplex accelerated theory is adapted to make the dynamic error function get the optimum solution.The computational steps for inverse analysis of thermal parameters are given in detail.Through theoretic deduction and analysis of a classic example,it is shown that with only temperature values of a few test points,thermal parameters can be obtained simultaneously by using simplex accelerated theory.During the whole computational process,there is no need to carry on any partial differentiation,which makes calculating efficiency greatly improved.The results also show that simplex accelerated method which has high precision and satisfying numerical stability is proper for inverse analysis of thermal parameters of transient temperature field of concrete structure.
出处
《工业建筑》
CSCD
北大核心
2007年第z1期374-378,共5页
Industrial Construction
关键词
瞬态温度场
热学参数
单纯形加速理论
反演分析
动态误差函数
transient temperature field thermal parameters simplex accelerated theory inverse analysis dynamic error function
