Ill-conditioned problems of dam safety monitoring models and their processing methods
Ill-conditioned problems of dam safety monitoring models and their processing methods
复制标题
大坝安全监测模型病态问题及其处理方法
DOI：
10.1007/s11431-011-4573-z
复制
发表时间：
2011-12-01
影响因子：
4.6
通讯作者：
Xu BaoSong
中科院分区：
文献类型：
--
作者：
Gu ChongShi;Wang YaChao;Xu BaoSong
本文研究的重点是大坝安全监控模型中的病态问题。详细分析了统计模型、确定性模型和混合模型中病态问题产生的原因，研究了病态模型的判别准则。结果表明，当影响因素数小于7时，安全监控模型不易病态。模型精度较高，能够满足工程要求。在建立安全监控模型时经常遇到的另一个问题是拐点的存在，拐点经常出现在确定性模型和混合模型中的液压元件的数学模型中。研究了拐点出现的条件，并提出了拐点的处理方法。数值算例表明，本文提出的处理方法对消除病态问题是有效的。
The focus of this paper is the ill-conditioned problems in the dam safety monitoring model. The reasons to give rise to the ill-conditioned problems in statistical models, deterministic models and hybrid models are analyzed in detail, and the criterions for ill-conditioned models are investigated. It is shown that safety monitoring models are not easy to be ill-conditioned if the number of influence factors is less than seven. Moreover, the models have a high accuracy and can meet the engineering requirements. Another frequently encountered problem in establishing a safety monitoring model is the existence of inflection points, which are often present in the mathematical model for the hydraulic components in deterministic models and hybrid models. The conditions for inflection points are studied and their treatments are suggested. Numerical example indicates that the treatments proposed in this paper are effective in removing the ill-conditioned problems.