沥青混合料诸参数对性能指标影响的数学建模  

Mathematical modeling of relationship between pavement quality indexes and parameters of asphalt mixture

作　　者：范鹏贤[1] 马喜斌[1] 姜鹏飞[1] 王明洋[1] 

机构地区：[1]解放军理工大学工程兵工程学院,江苏南京210007

出　　处：《解放军理工大学学报（自然科学版）》2009年第B12期69-73,共5页Journal of PLA University of Science and Technology(Natural Science Edition)

摘　　要：为提高沥青路面的使用性能,依据全国第四届研究生数学建模竞赛C题提供的数据,采用灰关联分析、回归分析及F检验方法对沥青混合料诸多参数与路面性能指标之间的关系进行了详细分析,建立了描述路面抗水损害性能、高温性能、低温性能的三类4个性能指标和影响路面性能的沥青混合料诸参数之间关系的数学模型。该数学模型在对大量试验数据进行处理后,准确地从诸多影响因素中找到了影响沥青路面各类性能的主要参数。结果与相关领域研究成果一致,具有很强的实用性。To improve the service performance of pavement, mass data of observation and test were accumulated. According to the data provided by the 4^th National Post-graduate Mathematical Contest in Modeling, the relationship between quality indexes of pavement and parameters of asphalt mixture were analyzed using grey correlation analysis theory, regression analysis and F test method. The mathematical model was established to evaluate the relationship between quality indexes of pavement and parameters of asphalt mixture. The mathematic modeling performed well in processing quantitative data, and successfully selected out the main influencing factors of pavement quality indexes from the provided parameters. The results agree with the achievements in relative fields, which suggests the validity of the model.

关 键 词：沥青混合料 数据处理 灰关联分析 F-检验 数学建模 

分 类 号：O141.4[理学—数学] U414[理学—基础数学]