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差分进化算法及其在固结系数计算中的应用 被引量:1

Differential Evolution and Its Application in Computing Consolidation Coefficient
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摘要 固结试验确定固结系数常采用时间平方根法和时间对数法,这两种方法均为作图法,其缺点是在绘图时易掺杂人为因素的影响,因而应用繁杂且误差较大。从一维固结理论出发,结合最小二乘原理把固结系数计算问题转化为非线性优化问题,再利用改进的差分进化算法对试验数据进行拟合计算,直接求出固结系数及固结的初值和终值。算例结果表明:差分进化算法可消除传统固结系数确定方法中人为因素影响,有效地减少了误差;差分进化算法收敛速度快,计算精度高,是一种通用、可靠的新算法,也可推广应用于其它岩土工程非线性优化领域。 In consolidation test,the common methods for determining coefficient of consolidation are the square root of time and the logarithm of time methods,both of which are graphical methods.In these two methods,there are some large influences of the man-made factors during graphical construction.Based on the one-dimensional consolidation theory and the least square principle,the problem of computing coefficient of consolidation is to be a non-linear optimization problem with formula transformation,and then the solution that improved differential evolution for computing the coefficient of consolidation by the automatic fitting calculations of data from consolidation test is proposed.The results show that the new method can eliminate the man-made factors during calculation and get the initial and final values of consolidation;in addition,differential evolution is a universal and reliable algorithm with rapid convergence,high precision.It also can be applied to other non-linear optimization areas of geotechnical engineering.
出处 《地下空间与工程学报》 CSCD 北大核心 2010年第5期958-963,974,共7页 Chinese Journal of Underground Space and Engineering
基金 芜湖市科技计划资助项目(2008702)
关键词 固结系数 差分进化算法 最小二乘原理 数值优化方法 coefficient of consolidation differential evolution least square principle numerical optimization method
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