%0 Journal Article
%T The numerical analysis formulation of the viscoelastic solid modeled by fractional operator<br>分数算子描述的黏弹性体力学问题数值方法
%A Zhang Wei Xu Hua Nubuyuki Shimizu Institute of Applied Mechanics
%A Jinan University
%A Guangzhou
%A China The Laboratory of Modern Design
%A Rotor-Bearing System
%A Key Lab of the Ministry of Education
%A Xi'an Jiao-tong University
%A Xi'an
%A China Dept of Mechanical Engineering
%A Iwaki Meisei University
%A Iwaki
%A Japan
%A <br>张卫
%A 徐华
%A 清水信行
%J 力学学报
%D 2004
%I 
%X The numerical method of mechanical problems for the viscoelastic solids with Riemann-Liouville fractional derivative model is presented in this paper. Instead of using finite Grunwald definition of fractional derivative to approximate the Riemann-Liouville's, this work has developed a numerical algorithm directly from Riemann-Liouville's definition by taking advantages of the features of its integrand kernel, assuming the approximating function for the integrand and making use of Newmark-type numerical methods. The numerical formulations are used to analyze the transient dynamic response for a viscoelastic oscillator and the finite element analysis procedures. The sample results show that the proposed method possesses the advantages of fast convergence, higher accuracy, higher stability and easy for application and further modification.
%K fractional derivative
%K viscoelasticity
%K numerical method
%K Newmark method<br>分数导数
%K 黏弹性
%K 数值分析
%K Newmark数值法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=614A2E3C30D10949&yid=D0E58B75BFD8E51C&vid=933658645952ED9F&iid=94C357A881DFC066&sid=7FAAB0292FA0D5D0&eid=6837BC93241057EF&journal_id=0459-1879&journal_name=力学学报&referenced_num=2&reference_num=10