中国水利水电科学研究院学报2017，Vol.15Issue(2)：123-128,6.DOI:10.13244/j.cnki.jiwhr.2017.02.007
有阻尼体系显式积分格式的计算精度研究
Research on the computational accuracy of explicit integration method with damping
刘超群 1张艳红1
作者信息
- 1. 中国水利水电科学研究院流域水循环模拟与国家重点实验室,北京100048
- 折叠
摘要
Abstract
Explicit integration scheme is an important step-by-step time-integration method in dynamic analysis.Due to time discretization,the calculated response values are different from the theoretical ones for a single degree of freedom system with damping.In this paper,the transfer matrix in the integration scheme is decomposed by use of eigenvector matrix,and percentage period elongation and percentage peak value decay of adjacent positive/negative waves are defined as the accuracy indexes.In this way a new method for the accuracy analysis of explicit integration scheme is proposed.This method is applied in the accuracy analysis of ABAQUS/Explicit.The analytical formulae of the two accuracy indexes with frequency,damping ratio and time step are derived.Quantitative analysis of the computation accuracy is also carried out in the usual range of damping ratio of engineering structures.The results show that the method proposed in this paper is feasible and effevtive,and can be applied to the accuracy study of other explicit integration scheme.关键词
显式积分格式/阻尼/计算精度/周期延长率/峰值递减率Key words
explicit integration method/damping/computational accuracy分类
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刘超群,张艳红..有阻尼体系显式积分格式的计算精度研究[J].中国水利水电科学研究院学报,2017,15(2):123-128,6.
