A high accurate combination-difference time-integration scheme for problems in structural dynamics
Received:March 28, 2012  Revised:July 04, 2012
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DOI:10.7511/jslx201304006
KeyWord:structural dynamic problems  time integration method  combination difference  high accuracy  stability
           
AuthorInstitution
张立红 清华大学 水沙科学与水利水电工程国家重点实验室, 北京
刘天云 清华大学 水沙科学与水利水电工程国家重点实验室, 北京
李庆斌 清华大学 水沙科学与水利水电工程国家重点实验室, 北京
管俊峰 华北水利水电学院 土木与交通学院,郑州
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Abstract:
      A two-step self-starting algorithm for solving structural dynamic problems called Combination-Difference Time-Integration algorithm (CDTI for short) which combines the backward difference scheme of velocity with the central difference scheme of displacement and acceleration based on Taylor series expansion is proposed.The stability and accuracy of CDTI are thoroughly analyzed by the amplification matrix and the associated eigenvalues and the results indicated that although it is conditionally stable,CDTI has high-order accuracy with no amplitude decay as well as little period elongation rate.The high accuracy of CDTI was also validated by numerical analysis.