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双相介质参数反演的遗传算法 被引量:6

PARAMETER INVERSE OF POROUS MEDIA BY GENETIC ALGORITHMS
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摘要 研究遗传算法在双相介质材料参数反演中的作用 .将一维双相介质在动载荷下的表面位移响应的计算值与实测值进行拟合 ,以最小方差作为目标函数 ,把双相介质参数反演问题归结为非线性多峰函数的最优化问题 .全局最优解的求解采用多点并行搜索的遗传算法 ,克服了传统梯度爬山法难于求得全局最优的困难 .算例表明了遗传算法的可行性和稳健性 . Genetic algorithms is used to solve the inverse problem of material constants of porous media from surface dynamic response. By building least-square objection function between response computed and measured, the inverse problem of material constants of porous media is reduced to optimal problem of non-linear multi-mode function. In order to overcome the difficulties met by classical gradient-orient optimal method, the genetic algorithms is used to search the global optimal point. Numerical results in the example given confirm the validity and robust of genetic algorithms.
出处 《固体力学学报》 CAS CSCD 北大核心 2002年第4期459-462,共4页 Chinese Journal of Solid Mechanics
基金 国家自然科学基金 (19872 0 0 2 10 2 72 0 0 3) 北方交通大学攀登基金资助
关键词 双相介质 遗传算法 参数反演 非线性多峰函数 porous media, genetic algorithms, inverse problem, non-linear
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参考文献3

  • 1Biot M A. The theory of propagation of elastic waves in fluid-saturated porous solids, Ⅰ:Low frequency range. J Acoust Soc Am, 1956, (28):168~178
  • 2Biot M A. The theory of propagation of elastic waves in fluid-saturated porous solids, Ⅱ:Higher frequency range. J Acoust Soc Am, 1956, (28):179~191
  • 3Simon B R, Zienkiewicz O C, Plaul D K. An analytical solution for the transient response of saturated porous elastic solids. Int J Numer Anal Methods Geomech, 1984, (8):381~398

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