基于PPR无假定建模的混凝土导热系数计算模型

Model of Thermal Conductivity for Concrete Based on Projection Pursuit Regression Non hypothetical Modeling Technology

关键词:  混凝土导热系数  PPR模型  无假定建模  高维数据建模  精度一致性检验

Key words:  thermal conductivity of concrete  PPR model  non hypothetical modeling technology  high dimensional data modeling  accuracy consistency test

摘要:

为了充分挖掘导热系数高维数据的内在结构特征,提出运用投影寻踪回归（PPR）无假定建模技术对混凝土导热系数试验数据进行分析并建立模型,采用数据“还原拟合”与“预留检验”相一致的“精度一致检验法”准则来评定模型的稳定性;并基于建立的PPR模型对导热系数进行仿真计算,以此对混凝土导热系数进行更加全面的研究.该建模方法避免了采用证实性数据分析（CDA）方法进行建模时存在的人为假定和求解结果因人而异等不确定性问题,具有较好的学科通用性.研究成果不仅为混凝土结构内部温度场的精确计算提供了理论依据,还对各学科试验优化设计、高维数据建模分析提供了有效的解决方案.

Abstract:

In order to fully excavate the intrinsic structural characteristics of high dimensional data of thermal conductivity, projection pursuit regression(PPR) non hypothetical modeling technology was proposed to analyze and model the experimental data. The stability of the model was evaluated by the criterion of accuracy consistency test which was consistent with the data of reduction fitting and reserved test. Based on the established PPR model, the thermal conductivity of concrete was simulated, so that the thermal conductivity of concrete can be studied more comprehensively. The results show that this modeling method avoids the problems of subjective assumption and uncertainty of solution results, which exist in the confirmatory data analysis(CDA) method, and has good discipline versatility. The research results not only provide theoretical basis for the accurate calculation of the internal temperature field of concrete structures, but also provide effective solutions for the optimization design analysis of various disciplines.