基于Vague集与信息公理的构造柱抗震加固方案优选研究  

OPTIMIZATION OF SEISMIC STRENGTHENING SCHEME FOR STRUCTURAL COLUMNS BASED ON VAGUE SETS AND INFORMATION AXIOM

作　　者：符浩彬[1] FU Hao-bin(Nanyang Key Laboratory of Human Settlements and Energy Conservation,Nanyang Institute of Technology,Nanyang 473004,China)

机构地区：[1]南阳理工学院南阳人居节能重点实验室,河南南阳473004

出　　处：《南阳理工学院学报》2022年第6期65-70,共6页Journal of Nanyang Institute of Technology

基　　金：河南省科技攻关项目(152102310227);河南省高等学校重点科研项目(20A560017);河南省档案科技项目计划(2021-R-20);南阳理工学院交叉学科重点项目(520022)。

摘　　要：地震灾区的建筑结构加固可靠与否直接关系到灾区人民的生命财产安全,为客观合理对震后砌体结构构造柱加固方案进行评价优选,考虑加固方案评价指标属性值的非线性与不确定性,首先采用Vague集对评价指标进行转换和表达;其次将公理化设计理论中的信息公理与模糊数学理论相结合,给出基于信息公理的Vague集区间信息量计算思路,进而构建了基于Vague集信息量的多属性决策方法,该方法综合考虑了加固方案中各评价指标的Vague集信息,通过比较各评价对象信息总含量的大小,可对加固方案进行优劣评价。最后通过实例验证其可靠性与合理性,可为类似工程结构优选决策提供借鉴参考。The reliability of building structure reinforcement in earthquake stricken areas is directly related to the safety of people’s lives and property in the disaster areas. In order to objective and reasonable evaluate and optimize the reinforcement scheme of structural column of masonry structure after earthquake, considering the nonlinearity and uncertainty of the attribute value of the evaluation index of reinforcement scheme. Firstly, Vague set was used for the conversion and expression of the object index. Secondly, by using the information axiom of axiomatic design, the theory of mathematics and the information Fuzzy mathematics theory were combined. Based on these, the computing method of Vague interval information content was proposed and the proposed method for the multi-attribute optimal selection of Vague interval number was developed. By comparing the Vague interval information content, the seismic strengthening schemes of structural column were achieved in the whole system with integrated interval weight information content and Vague interval evaluation information content of various indexes. Finally, the reliability and rationality of the method are verified by an example, which can provide reference for the optimization decision of similar engineering structures.

关 键 词：构造柱 抗震加固 信息量 VAGUE集 信息公理 

分 类 号：TU362[建筑科学—结构工程] C934[经济管理—管理学]