计算力学学报Issue(4)：491-495,513,6.DOI:10.7511/jslx201304006
结构动力问题的高精度组合差分时程积分法
A high accurate combination-difference time-integration scheme for problems in structural dynamics
摘要
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 .关键词
结构动力问题/时程积分法/组合差分/高精度/稳定性Key words
structural dynamic problems/time integration method/combination difference/high accuracy/stability分类
数理科学引用本文复制引用
张立红,刘天云,李庆斌,管俊峰..结构动力问题的高精度组合差分时程积分法[J].计算力学学报,2013,(4):491-495,513,6.基金项目
国家自然科学基金（90715041）；十一五支撑计划（2008BAB29B05）资助项目． （）
