| 建筑物沉降监测中的改进灰色模型 |
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| 引用本文： | 朱军桃,李亚威,熊东旭,耿继军,赵亚辉.建筑物沉降监测中的改进灰色模型[J].测绘科学,2017,42(11). |
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| 作者姓名： | 朱军桃 李亚威 熊东旭 耿继军 赵亚辉 |
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| 作者单位： | 1. 桂林理工大学测绘地理信息学院,广西桂林541006;广西空间信息与测绘重点实验室,广西桂林541006;2. 东华理工大学测绘工程学院,南昌 330013;流域生态与地理环境监测国家测绘地理信息局重点实验室,南昌 330013 |
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| 基金项目： | 广西高校科学技术研究重点项目 |
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| 摘 要： | 针对传统非等间距GM(1,1)模型在建筑物沉降监测中预测精度不够高的问题,提出了一种新的非等间距GM(1,1)建模方法。此法基于初始条件改进及把灰色微分方程的白化方程中的灰导数用离散形式进行表示的改进相结合、提高非等间距GM(1,1)模型的建模精度。结合桂林市某广场的集商用、住房于一体的高层建筑的沉降变形监测实例,将本模型的沉降预测的结果同文献中另一非等间距GM(1,1)改进方法进行对比分析和检验,充分验证了建筑物沉降变形分析预报中本模型方法的可行性和优越性,对进一步促进非等间距GM(1,1)模型在沉降变形预测中的应用起到了积极的作用。
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| 关 键 词： | 灰色理论 沉降变形 GM(1 1)模型 非等间距 |
An improved grey mode in the building settlement monitoring |
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| ZHU Juntao,LI Yawei,XIONG Dongxu,GENG Jijun,ZHAO Yahui.An improved grey mode in the building settlement monitoring[J].Science of Surveying and Mapping,2017,42(11). |
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| Authors: | ZHU Juntao LI Yawei XIONG Dongxu GENG Jijun ZHAO Yahui |
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| Abstract: | An improved non-equidistant GM(1,1)model is proposed for the problem that the traditional non-equidistant GM(1,1)model is not enough high accuracy in the settlement monitoring of buildings.The model is based on the improved initial conditions and the improvement on the representation of grey derivatives which is expressed by the discrete form in the whitening equation of the grey differential equation,combined with the instance of a high-size building with the integration of business and residence in a square of Guilin.The results of this model which are compared with the results of other non-equidistant GM(1,1)methods in the literature predict the analysis and test of settlement.The feasibility and superiority of this model is verified by the instance of the building subsidence deformation analysis and prediction,it has played a positive role in the application of the non-equidistant GM(1,1)model in the prediction of settlement deformation. |
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| Keywords: | grey theory settlement deformation GM(1 1)model non-equidistant |
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