An improved time integration scheme based on uniform cubic B-splines and its application in structural dynamics  

作　　者：Weibin WEN Hongshuai LEI Kai WEI Baosheng XU Shengyu DUAN Daining FANG 

机构地区：[1]College of Engineering,Peking University,Beijing 100871,China [2]Beijing Institute of Technology,Beijing 100081,China [3]State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,School of Mechanical and Vehicle Engineering,Hunan University,Changsha 410082,China [4]Key Laboratory of Applied Mechanics,Department of Engineering Mechanics,School of Aerospace Engineering,Tsinghua University,Beijing 100084,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2017年第6期889-908,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11602004 and11602081);the Fundamental Research Funds for the Central Universities(No.531107040934)

摘　　要：A time integration algorithm for structural dynamic analysis is proposed by uniform cubic B-spline functions. The proposed algorithm is successfully used to solve the dynamic response of a single degree of freedom （SDOF） system, and then is generalized for a multiple-degree of freedom （MDOF） system. Stability analysis shows that, with an adjustable algorithmic parameter, the proposed method can achieve both conditional and unconditional stabilities. Validity of the method is shown with four numerical simulations. Comparison between the proposed method and other methods shows that the proposed method possesses high computation accuracy and desirable computation efficiency.A time integration algorithm for structural dynamic analysis is proposed by uniform cubic B-spline functions. The proposed algorithm is successfully used to solve the dynamic response of a single degree of freedom （SDOF） system, and then is generalized for a multiple-degree of freedom （MDOF） system. Stability analysis shows that, with an adjustable algorithmic parameter, the proposed method can achieve both conditional and unconditional stabilities. Validity of the method is shown with four numerical simulations. Comparison between the proposed method and other methods shows that the proposed method possesses high computation accuracy and desirable computation efficiency.

关 键 词：dynamical system time integration~ stability dynamic response B-SPLINE 

分 类 号：O302[理学—力学]