含分数阶的无限地基交互作用时域阻尼抽取法  

TIME DOMAIN DAMPING-EXTRACTION METHOD FOR INTERACTION OF UNBOUNDED MEDIA WITH FRACTIONAL-ORDER

作　　者：陈永辉[1,2] 王新泉[3] 周星德[4] 

机构地区：[1]河海大学岩土工程科学研究所,江苏南京210098 [2]河海大学水资源高效利用与工程安全国家工程研究中心,江苏南京210098 [3]浙江大学城市学院土木工程系,浙江杭州310015 [4]河海大学工程力学系,江苏南京210098

出　　处：《岩石力学与工程学报》2009年第A02期3666-3672,共7页Chinese Journal of Rock Mechanics and Engineering

摘　　要：以含分数阶的动力方程为研究背景,主要研究含分数阶的结构-地基交互作用的阻尼抽取法。首先推导含分数阶的阻尼抽取法结构-地基动力交互作用时域基本公式;其次,根据模态变换来解耦动力方程,并把其转换为传递函数的表达形式;然后,借助于Oustalop微分滤波器算法把分数阶传递函数近似表示为整数阶传递函数;最后转换为状态方程并组装得到系统的状态和输出方程,进而通过四阶龙格-库塔算法求出交界面作用力;最后给出一个计算实例并进行分析比较。Based on the dynamic equations with fractional order（FO）,the damping-extraction method for structure-media with FO is studied.Firstly,the time domain basic formula of the damping extraction method of dynamic structure-media interaction with FO is deduced.Secondly,the uncoupled dynamic equations of dynamic structure-media interaction with fractional order are determined and then transformed into transfer functions expression according to mode transform.Thirdly,the acquired FO transfer functions are expressed as integrated order ones approximately by Oustalop differential filter algorithm.Fourthly,the all transfer functions are written as state equations form and assembled as an entity state-output equations,the corresponding interaction forces can also be solved by the four-order Runge-Kutta algorithm.Finally,two examples are utilized to demonstrate the feasibility of the proposed method.

关 键 词：基础工程 结构-地基交互作用 阻尼抽取法 分数阶 微分滤波器 

分 类 号：TU47[建筑科学—结构工程]