计算力学学报2017，Vol.34Issue(2)：263-266,4.DOI:10.7511/jslx201702021
岩石流变分数阶模型研究
Research on fractional order models of rock rheology
摘要
Abstract
In the paper,the Kelvin rheological model is utilized as research object,and a Kelvin model with fractional order(FO) is suggested.First,the integer order(IO) derivative of the model is replaced by a fractional order one.The fitting frequency range [0 1000] of FO model is determined considering that the fundamental natural frequency of common rock is lower than 1000 Hz.And then the FO mode is transferred into IO one by Ouslop filter algorithm.Secondly,experimental data are used to identify the unknown parameters in the FO model,and Levenberg-Marquardt algorithm is adopted to solve the strong nonlinear equations.Thirdly,a precise expression is acquired by Laplace inverse transformation.Finally,an example is used to show the efficiency of presented method.关键词
岩石/分数阶/流变/拟合频段/参数识别Key words
rock/fractional order/rheology/fitting frequency range/parameters identification分类
建筑与水利引用本文复制引用
张杰,魏永强,仇学明,石贤增,周星德..岩石流变分数阶模型研究[J].计算力学学报,2017,34(2):263-266,4.基金项目
湖南省重大水利科技项目(湘水科计[2015]186-24) （湘水科计[2015]186-24）
安徽省建设行业科学技术计划资助项目. （）
