基于模糊数学理论的沥青路面结构可靠度分析  

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

作　　者：刘俊卿[1] 韩晶 LIU Junqing;HAN Jing(School of Science,Xi＇an University of Architecture and Technology,Xi＇an 710055,P.R.China)

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《应用数学和力学》2018年第9期1081-1090,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(51178387);陕西省教育厅自然科学基金(14JK1414)~~

摘　　要：在分析沥青路面结构可靠度时,为了更符合路面实际工况,将模糊数学理论纳入可靠度分析中.首先给出沥青路面结构的失效隶属函数;然后将路表弯沉值作为控制指标;从而推导出沥青路面结构模糊可靠度计算模式;并结合西咸新区二级沥青路段进行了相关的验证.结果表明:在一模糊事件中,模糊可靠度与传统可靠度相比总是低于传统可靠度.基于此,在对路面结构进行可靠性设计时采用模糊可靠度能更加巩固路面的使用性能,延长了路面的使用年限.在使用过程当中,外界因素对路面的损害程度相较于采用传统可靠度设计的路面结构小,从而使得路面的维修次数减少,节省了后期路面维护的人力和财力.所选取的隶属函数中k的取值和模糊临界区间均对模糊可靠度的大小起直接影响作用,通过对不同路面组合,不同k值的计算发现,当k值取作800σ_Z^(-2)~1 800σ_Z^(-2)较为合理.在具体的工程实践中,应该根据实际情况来确定临界区间的范围,以保证结构的安全性.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_Z^（-2） ～ 1 800σ _Z^（-2）. 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.

关 键 词：道路工程 结构可靠度 模糊数学理论 沥青路面结构 隶属函数 路表弯沉 

分 类 号：U416.2[交通运输工程—道路与铁道工程]