LIU Junqing, HAN Jing. Reliability Analysis of Asphalt Pavement Structure Based on the Fuzzy Mathematics Theory[J]. Applied Mathematics and Mechanics, 2018, 39(9): 1081-1090. doi: 10.21656/1000-0887.380278
Citation: LIU Junqing, HAN Jing. Reliability Analysis of Asphalt Pavement Structure Based on the Fuzzy Mathematics Theory[J]. Applied Mathematics and Mechanics, 2018, 39(9): 1081-1090. doi: 10.21656/1000-0887.380278

Reliability Analysis of Asphalt Pavement Structure Based on the Fuzzy Mathematics Theory

doi: 10.21656/1000-0887.380278
Funds:  The National Natural Science Foundation of China(51178387)
  • Received Date: 2017-10-31
  • Rev Recd Date: 2017-12-15
  • Publish Date: 2018-09-15
  • The fuzzy mathematics theory was introduced into the analysis of asphalt pavement structure reliability, to better fit the actual condition of pavement. The failure membership function was first given for asphalt pavement structure, then with the road surface deflection value as the control index, the asphalt pavement structure fuzzy reliability calculation model was built and verified with 2 asphalt roads in the Xixian New Area. The results show that, in a fuzzy event, the fuzzy reliability is always lower than the traditional reliability. Based on this, the reliability design of the pavement structure with the fuzzy reliability can strengthen the pavement performance and prolong the service life of pavement. In service, under the fuzzy reliability the pavement damage degree due to environmental factors is less than that under the traditional reliability, thus reducing the amount of pavement maintenance and saving manpower and maintenance cost. The values of k and fuzzy critical intervals of the selected membership functions play a direct role in the magnitude of the fuzzy reliability. Through the calculation of different road combinations and different k values, it is found that the reasonable value of k is within 800σ-2Z~1 800σ-2Z.In the real engineering practice, the critical interval shall be determined according to the actual situation, so as to ensure the safety of the structure.
  • loading
  • [1]
    赵安龙, 李洪双. 基于概率支持向量机的可靠性分析与设计方法[J]. 应用力学学报, 2017,34(1): 50-56.(ZHAO Anlong, LI Hongshuang. Reliability analysis and optimization design based on probabilistic support vector machine[J]. Chinese Journal of Applied Mechanics,2017,34(1): 50-56.(in Chinese))
    [2]
    李刚, 孟增. 基于RBF神经网络模型的结构可靠度优化方法[J]. 应用数学和力学, 2014,35(11): 1272-1279.(LI Gang, MENG Zeng. Reliability-based design optimization with the RBF neural nerwork model[J]. Applied Mathematics and Mechanics,2014,35(11): 1272-1279.(in Chinese))
    [3]
    刘杰, 卿启湘, 张青春, 等. 结构模糊可靠性分析方法的泛灰求解[J]. 应用数学和力学, 2015,36(3): 285-293.(LIU Jie, QING Qixiang, ZHANG Qingchun, et al. Solving of the structural fuzzy reliability analysis method with universal grey numbers[J]. Applied Mathematics and Mechanics,2015,36(3): 285-293.(in Chinese))
    [4]
    郑健龙. 基于状态设计法的沥青路面弯沉设计标准[J]. 中国公路学报, 2012,25(4): 1-9.(ZHENG Jianlong. Deflection design standards of asphalt pavement based on state design method[J]. China Journal of Highway and Transport,2012,25(4): 1-9.(in Chinese))
    [5]
    吁新华, 谈至明. 沥青路面结构层弯拉应力与应变的近似计算[J]. 同济大学学报(自然科学版), 2012,40(6): 849-853.(YU Xinhua, TAN Zhiming. Approximate calculation of flexural stresses and tensile strains in asphalt pavements[J]. Journal of Tongji University (Natural Science),2012,40(6): 849-853.(in Chinese))
    [6]
    龚文慧, 王元汉, 郑俊杰. 基于模糊理论的膨胀土路基沉降的可靠度分析[J]. 华中科技大学学报(自然科学版), 2008, 36(3): 50-53.(GONG Wenhui, WANG Yuanhan, ZHENG Junjie. Reliability analysis on settlement of expansive soil roadbed based on fuzzy theory[J]. Journal of Huazhong University (Natural Science Edition),2008,36(3): 50-53.(in Chinese))
    [7]
    凌建明, 官盛飞, 赵鸿铎, 等. 公路沥青路面预养护多层次模糊决策模型[J]. 公路交通科技, 2008,25(6): 25-34.(LING Jianming, GUAN Shengfei, ZHAO Hongduo, et al. Multi-hierarchy fuzzy decision-making medol for PPM treatment selection of highway asphalt pavement[J]. Journal of Highway and Transport Research and Development,2008,25(6): 25-34.(in Chinese))
    [8]
    颜可珍, 周志雄. 基于非线性模糊法的水泥路面性能评价[J]. 浙江大学学报(工学版), 2013,〖STHZ〗 47(8): 1379-1392.(YAN Kezhen, ZHOU Zhixiong. Cement pavement performance evaluation based on nonlinear fuzzy method[J]. Zhejiang University (Engineering Science),2013,47(8): 1379-1392.(in Chinese))
    [9]
    娄峰. 基于模糊理论的沥青路面可靠度分析[D]. 硕士学位论文. 长沙: 湖南大学, 2004.(LOU Feng. Reliability analysis for asphalt pavement based on fuzzy theory[D]. Master Thesis. Changsha: Hunan University, 2004.(in Chinese))
    [10]
    贾致荣, 樊克恭, 赵成泉. 沥青路面结构的模糊可靠度分析[J]. 中外公路, 2001,21(4): 15-18.(JIA Zhirong, FAN Kegong, ZHAO Chengquan. Fuzzy reliability degree analysis of asphalt pavement structure[J]. Journal of Foreign Highway,2001,21(4): 15-18.(in Chinese))
    [11]
    张文. 沥青路面极限承载力与使用寿命预估研究[D]. 硕士学位论文. 长沙: 湖南大学, 2004.(ZHANG Wen. Prediction of ultimate bearing capacity and life-span of asphalt pavement[D]. Master Thesis. Changsha: Hunan University, 2004.(in Chinese))
    [12]
    习宇. 沥青路面结构极限承载力分析与应用研究[D]. 硕士学位论文. 长沙: 湖南大学, 2006.(XI Yu. Research on analysis and application of ultimate bearing capacity for asphalt pavement[D]. Master Thesis. Changsha: Hunan University, 2006.(in Chinese))
    [13]
    于少伟. 基于区间数的模糊隶属函数构建[J]. 山东大学学报(工学版), 2010,40(6): 32-36.(YU Shaowei. Construction of a fuzzy membership function based on interval number[J]. Shandong University (Engineering Science),2010,40(6): 32-36.(in Chinese))
    [14]
    李鑫, 杨锡武, 黄金. 基于模糊数学的水泥路面使用性能综合评价体系研究[J]. 兰州大学学报(自然科学版), 2009,45(S1): 88-92.(LI Xin, YANG Xiwu, HUANG Jin. Comprehensive evaluation system of cement pavement performance based on fuzzy mathematics[J]. Journal of Lanzhou University (Natural Sciences),2009,45(S1): 88-92.(in Chinese))
    [15]
    战高峰, 王洪范. 模糊数学理论在确定水泥混凝土路面目标可靠度时的应用[J]. 公路交通科技, 2000,17(S1): 2-7.(ZHAN Gaofeng, WANG Hongfan. Application of fuzzy mathematic theory in determining the objective for the cement concrete pavement[J]. Journal of Highway and Transport Research and Development,2000,17(S1): 2-7.(in Chinese))
    [16]
    丁晓丽. 基于模糊数学理论下高速公路隧道路面选型评定[J]. 公路工程, 2017,42(5): 262-266.(DING Xiaoli. The selection of highway tunnel pavement evaluation based on the fuzzy mathematics theory under[J]. Highway Engineering,2017,42(5): 262-266.(in Chinese))
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1481) PDF downloads(981) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return