同济大学学报（自然科学版）2011，Vol.39Issue(3)：327-332,6.DOI:10.3969/j.issn.0253-374x.2011.03.004
过滤高阶失稳振型满足显式算法的稳定性
Filtration of High-ordered Vibration Mode to Satisfy Explicit Method' s Stability
摘要
Abstract
The consistency between transferring matrix' s characteristic vector and structure's natural vibration shape was proved by taking central differential method as an example.The explicit method's destabilization was caused by a combination of the transferring matrix' s characteristic value and the corresponding characteristic vector.A new method was proposed by filtrating the high destabilization vibration mode from result displacement vectors at different time, as a result, the wide time step size beyond the stability field will not lead to a calculation destabilization.With the proposed method,the calculation efficiency is improved with the same precision.Numerical model validates the method, which develops a new way to solve the stiff differential equations.关键词
中心差分法/高阶振型/失稳/振型过滤/时间步长Key words
central differential method/ high vibration mode/destabilization/ filtration of vibration mode/ time step size分类
数理科学引用本文复制引用
楼梦麟,李常青..过滤高阶失稳振型满足显式算法的稳定性[J].同济大学学报（自然科学版）,2011,39(3):327-332,6.基金项目
上海市科委基础研究重点基金项目(07JC14051) （07JC14051）
