| 变参数DCD算法在岩土工程位移反分析中的应用 |
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| 引用本文： | 江浩,汪稔,吕颖慧.变参数DCD算法在岩土工程位移反分析中的应用[J].岩土力学,2009,30(Z1):282-286. |
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| 作者姓名： | 江浩 汪稔 吕颖慧 |
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| 作者单位： | 中国科学院武汉岩土力学研究所国家重点实验室,武汉,430071 |
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| 摘 要： | 常规DCD(dynamic canonical descent)算法具有全局优化能力且无需考虑目标函数的可微性,只要预先定义优化空间即可,但是该算法的收敛速度有限,为此提出了变参数DCD算法,并建立了其相应的算法迭代格式.在数值试验和工程应用中将该变参数DCD算法与常规的DCD算法进行比较,其结果均表明:变参数DCD算法在全局优化能力和收敛速度上找到了一个均衡点,该算法不仅具有DCD算法的全局优化能力,而且收敛时所需的目标函数评估次数少,在优化过程中该算法展示出了稳定性强且优化结果可靠度高的一面.
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| 关 键 词： | 变参数 全局优化 数值稳定性 目标函数评估 迭代格式 反分析 |
| 收稿时间： | 2009-06-23 |
Application of mutative DCD algorithm to displacement back analysis in geotechnical engineering |
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| JIANG Hao,WANG Ren,Lǚ Ying-hui.Application of mutative DCD algorithm to displacement back analysis in geotechnical engineering[J].Rock and Soil Mechanics,2009,30(Z1):282-286. |
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| Authors: | JIANG Hao WANG Ren Lǚ Ying-hui |
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| Institution: | State Key Laboratory of Geomechanics and Geotechnical Engineering , Institute of Rock and Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | The general dynamic canonical descent(DCD) algorithm is able to avoid being trapped by local optimization with a limited speed, and does not assume the cost function to be differentiable if firstly given a appropriate space interval. The iterative format of the algorithm is discussed. The mutative DCD algorithm is based on the general DCD algorithm; the two algorithms are compared in numerical experiments and engineering application. The recults show that the mutative DCD algorithm can converge to the global best point with a few objective function evaluations; and a tradeoff between time and space complexities and the capabilities to locate the global optimum up to a certain precision with a good numerical stability and credible results are obtained. |
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| Keywords: | mutative parameters global optimization numerical stability objective function evaluation iterative format back-analysis |
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