Performance evaluation of Portland cement concrete pavement based on fuzzy complex matter element method
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摘要: 分析了现行水泥路面养护技术规范, 提出了适用于旧水泥混凝土路面养护和罩面需求的水泥路面性能评价指标体系和评价方法。采用路面状况指数、行驶质量指数和国际摩阻系数等指标评价路面的使用性能, 采用断板率、基层顶面当量回弹模量、接缝传荷能力和板底脱空率等指标评价路面的结构状况。考虑到各评价指标分级的模糊性, 应用模糊物元分析法建立了多指标的路面状况评定方法, 其中的权重确定综合了AHP法和熵值法, 以求同时反映评价分级的主观性和实测数据的客观性。分析结果表明: 实际路段的路面性能对应“中”的关联度最大(0.562 4), 对应“次”的关联度次之(0.319 4), 根据最大关联度原则, 该路段的路面性能属于“中”级偏“次”, 与实际情况相符, 表明评价指标体系和方法可行。Abstract: The needs of maintenance and overlay for Portland cement concrete pavement (PCCP) were considered, the current Chinese technical specifications of cement concrete pavement maintenance were analyzed, and new evaluation index system and method were put forward. Pavement condition index (PCI), running quality index (RQI) and international friction index (IFI) were used to evaluate the functional performance of PCCP. The ratio of broken plate (DBL), the resilience modulus of base course, the load transferring capacity of the joint and the ratio of voided plate were used to evaluate the structural status of PCCP. A systematic pavement performance evaluation model was established by using fuzzy complex matter element method, and the fuzzy in classification of every index was considered. The weight of each index was determined by integrating analytic hierarchy process (AHP) method and entropy method to consider data objectivity and classification subjectivity. Computation result shows that the maximum correlation degree of evaluated pavement is 0.562 4 to the medium grade, and the second largest correlation degree is 0.319 4 to the poor grade, which means that the state of evaluated pavement is medium closely to poor grade according to the principle of maximum correlation, and is fit with the actual situation. The result indicates that the evaluation index system and method are feasible.
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表 1 评价指标及分级
Table 1. Evaluation indexes and classification
评价目标A 评价指标B 评价因素C 评价等级 优良 中 次 差 A1: 路面性能 B1: 路面使用性能 C1: 路面状况指数PCI 100~70 69~55 54~40 39~20 C2: 路面行驶质量RQI 10.0~7.0 6.9~4.5 4.4~2.0 1.9~0 C3: 路面抗滑能力IFI 0.322~0.257 0.256~0.154 0.153~0.012 0.011~0 B2: 路面结构状况 C4: 断板率DBL/% 0~5 6~10 11~20 21~40 C5: 基层顶面当量回弹模量Et/MPa > 295 265~295 215~264 < 214 C6: 接缝传荷能力Kj/% > 80 56~80 31~55 0~30 C7: 板底脱空率RV/% 0~5 6~10 11~20 21~40 
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表 2 评价因素实测值
Table 2. Test values of evaluation indexes
C1 C2 C3 C4/% C5/MPa C6/% C7/% 47 6.1 0.261 15 249 65.8 17
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表 3 评价因素隶属度
Table 3. Degrees of membership of evaluation indexes
评价因素 优良 中 次 差 C1 0.011 7 0.051 8 1.000 0 0.134 9 C2 0.169 6 0.947 1 0.030 0 0.000 0 C3 0.586 9 0.447 1 0.012 8 0.000 0 C4 0.000 0 0.002 0 1.000 0 0.210 3 C5 0.233 5 0.051 8 0.914 1 0.283 5 C6 0.017 3 0.987 3 0.090 0 0.000 4 C7 0.000 0 0.000 0 0.895 0 0.310 0
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表 4 评价因素的AHP法权重
Table 4. AHP weights of evaluation indexes
评价因素 B1 B2 AHP权重 0.750 0.250 W′i= C1 0.163 0.122 3 C2 0.540 0.405 0 C3 0.297 0.222 8 C4 0.118 0.029 5 C5 0.564 0.141 0 C6 0.055 0.013 8 C7 0.263 0.065 8
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表 5 评价因素yij
Table 5. yijof evaluation indexes
评价因素 优良 中 次 差 C1 0.009 8 0.043 2 0.834 4 0.112 6 C2 0.147 9 0.825 9 0.026 2 0.000 0 C3 0.560 7 0.427 1 0.012 2 0.000 0 C4 0.000 0 0.001 6 0.824 9 0.173 5 C5 0.157 5 0.034 9 0.616 4 0.191 2 C6 0.015 8 0.901 6 0.082 2 0.000 4 C7 0.000 0 0.000 0 0.742 7 0.257 3
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表 6 评价因素的熵权重
Table 6. Entropy weights of evaluation indexes
评价因素 信息熵 hi=1-ei C1 0.417 0 0.583 0 0.149 3 C2 0.386 7 0.613 3 0.157 0 C3 0.534 9 0.465 1 0.119 1 C4 0.341 2 0.658 8 0.168 7 C5 0.737 8 0.262 2 0.067 1 C6 0.265 1 0.734 9 0.188 2 C7 0.411 3 0.588 7 0.150 7
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表 7 评价因素的综合权重
Table 7. Complex weights of evaluation indexes
评价因素 权重 AHP法 熵值法 综合权重 C1 0.122 3 0.149 3 0.134 9 C2 0.405 0 0.157 0 0.470 0 C3 0.222 8 0.119 1 0.196 1 C4 0.029 5 0.168 7 0.036 8 C5 0.141 0 0.067 1 0.069 9 C6 0.013 8 0.188 2 0.019 1 C7 0.065 8 0.150 7 0.073 2
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