火灾后混凝土损伤综合评价的分形-插值模型  

Fractal interpolation model for comprehensive evaluation on the degree of fire-damage concrete

作　　者：王子毅[1] 韩阳[1] 王威[2] 

机构地区：[1]河南工业大学防灾减灾工程研究所,河南郑州450052 [2]北京工业大学抗震减灾研究所,北京100124

出　　处：《混凝土》2012年第2期44-47,共4页Concrete

基　　金：国家十二五科技支撑计划项目(2009BAJ28B04;2011BAK07B01;2011BAJ08B03;2011BAJ08B05);国家自然科学基金项目(50678060)

摘　　要：为了充分考虑多种评估参数以提高混凝土火灾损伤评估的准确性,借鉴分形基本理论,提出了基于分形插值模型的火灾后混凝土损失综合评价方法。该方法首先选取影响混凝土损失评价的抗压强度损失系数、耐久性损失系数、爆裂损失系数和裂纹损失系数4个参数作为火灾后混凝土损失综合评价的指标,并确定指标的分级标准,采用在每级标准中随机内插的方法,得到40个标准样本,用于构建火灾后混凝土损失综合评价的分形—插值模型;其次根据最大似然分类原则确定每个混凝土火灾损失指标的评价分维数;然后利用加权求和法计算样本的综合评价值,并根据样本综合评价值与经验等级之间的关系建立分形—插值评价模型;最后,通过实例分析表明:该模型的评价结果合理、客观,为火灾后混凝土损失综合评价工作提供了一种新的研究方法与思路。In order to consider the diversity of evaluation factors, fractal interpolation model for evaluation of the degree of fire-damage concrete is proposed.Firstly,four key factors are selected as the factors for synthetic evaluation of the degree of fire-damage concrete.In addition, because of few standard samples, forty standard samples are produced by the way of stochastic interpolation on basis of classification standard; Secondly,through calculating the fractal dimension of single index of the degree of fire-damage concrete,confirming the fractal dimension exponent evaluation of the index of single fire-damage concrete with the maximum likelihood classification principle;Thirdly, adopting weighted summation value this method calculates the level of the colligate estimation of multi-index of fire-damage concrete and establishes the fractal interpolation evaluation model according to the relationship between the value of comprehensive evaluation of the samples and the experience level; Finally, a sample is evaluated.The results show that the fractal interpolation model results are reasonable and objective; and they have better reliability and stability so as to provide a new research method and idea for the degree of fire-damage concrete.

关 键 词：分形-插值模型 分维数 混凝土 火灾损伤 

分 类 号：TU528.01[建筑科学—建筑技术科学]