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基于相空间重构的冻土路基变形预测
引用本文:侯曙光,汪双杰,黄晓明.基于相空间重构的冻土路基变形预测[J].交通运输工程学报,2005,5(2):35-37,60.
作者姓名:侯曙光  汪双杰  黄晓明
作者单位:东南大学,交通学院,江苏,南京,210096;中交第一公路勘察设计研究院,陕西,西安,710068
基金项目:国家西部交通建设科技项目(200231800004)
摘    要:应用最大Lyapunov指数预测多年冻土路基变形,分析冻土路基变形的相空间重构方法和不同延迟时间及嵌入维数对最大Lyapunov指数的影响。发现当延迟时间为1,嵌入维数为5时,最大Lyapunov指数趋于稳定,其值为0.00528。运用该指数,进行冻土路基变形预测,比较预测变形量和实测变形量,得到最大相对误差为0.749%,最小为0.135%。结果表明最大Lyapunov指数能够较好地反映冻土路基变形的混沌特征,利用其进行冻土路基变形预测是可行的。

关 键 词:路基工程  多年冻土  相空间重构  Lyapunov指数  变形预测
文章编号:1671-1637(2005)02-0035-03

Subgrade deformation forecast of frozen soil based on phase space reconstruction
Hou Shu-guang,WANG Shuang-jie,Huang Xiao-ming.Subgrade deformation forecast of frozen soil based on phase space reconstruction[J].Journal of Traffic and Transportation Engineering,2005,5(2):35-37,60.
Authors:Hou Shu-guang  WANG Shuang-jie  Huang Xiao-ming
Institution:Hou Shu-guang~1,Wang Shuang-jie~2,Huang Xiao-ming~1
Abstract:The rules of permafrost subgrade deformation were analyzed by maximal Lyapunov exponent method, the phase space reconstruction of subgrade deformation was discussed. It is pointed that various delay time and embedment dimension are two important influence factors on the exponent, when delay time equals 1, embedment dimension equals 5, steady maximal Lyapunov exponent is 0.005 28. Using the exponent value, the maximal relative error of deformation forecast value and measure value is 0.749%, the minimal relative error is 0.135%. The results indicate that maximal Lyapunov exponent ideally reflect the chaos characteristic of subgrade deformation, forecasting subgrade deformation by maximal Lyapunov exponent is feasible. 1 tab, 3 figs, 9 refs.
Keywords:subgrade engineering  permafrost  phase space reconstruction  Lyapunov exponent  deformation forecast
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