TIME DOMAIN DAMPING-EXTRACTION METHOD FOR INTERACTION OF UNBOUNDED MEDIA WITH FRACTIONAL-ORDER
CHEN Yonghui1，2，WANG Xinquan3，ZHOU Xingde4
(1. Research Institute of Geotechnical Engineering，Hohai University，Nanjing，Jiangsu 210098，China；2. National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety，Hohai University，Nanjing，Jiangsu 210098，China； 3. Department of Civil Engineering，Zhejiang University City College，Hangzhou，Zhejiang 310015，China；4. Department of Engineering Mechanics，Hohai University，Nanjing，Jiangsu 210098，China)
Abstract：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.
陈永辉,王新泉，周星德. 含分数阶的无限地基交互作用时域阻尼抽取法[J]. 岩石力学与工程学报, 2009, 28(S2): 3666-3672.
CHEN Yonghui1，2，WANG Xinquan3，ZHOU Xingde4. TIME DOMAIN DAMPING-EXTRACTION METHOD FOR INTERACTION OF UNBOUNDED MEDIA WITH FRACTIONAL-ORDER. , 2009, 28(S2): 3666-3672.
