基于可拓学理论和菱形思维方法,将研究对象、评判指标和指标特征值结合成物元,通过物元关系式建立桥梁评估信息物元模型.提出基于"特征值"概念的桥梁评估指标度量方法,运用关联函数动态定量确定各指标的相对重要性随指标之间的组态变化对桥梁性态影响贡献量的变化,实现评估指标动态赋权.利用可拓算法对评估指标逐层量化递归运算,最后收敛至顶层,给出桥梁整体性态的级别归属和性能值.结合大跨径PC梁桥实例,构建评估指标体系,确定基层指标的评估分级标准,对桥梁进行综合评估,并将结果与基于规范的评估结果进行比较,结果一致.评估过程证明本方法是解决桥梁评估中矛盾相容、定性与定量共存问题的一种有效方法.
Based on extension theory and rhombus mode of thought, the research objects and judging indexes as well as their characteristic values are combined in a matter element, Information matter-element model of bridge evaluation is established in accordance with the relations of matter-elements. The measurement method of bridge evaluation index is proposed based on the eigenvalue concept. The correlational function is used to determine quantitatively and dynamically the variation of the contribution share of every indexes to the influence of the relative importance change of every indexes due to their configuration change on the bridge mechanical behavior. Thus, dynamic weight of evaluation index is realized. By use of exten- sion algorithm, evaluation index is quantitatively calculated layer by layer with recursive approach and will finally converge at the top, so that the overall bridge class attribution and property values are given. Aimed at an actual long-span PC bridge practice, its evaluation index system is constructed, grading standards of grass-root index is identified, and evaluation result is obtained and compared with its specification result. It is found that these two results are consistent. The assessment process proved that the method presented here is an effective one to solve the paradoxy in bridge evaluation, where qualitative and quanti- tative coexistence takes place.