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结构瞬态响应数值积分法的稳定性
引用本文:顾家柳 任兴民. 结构瞬态响应数值积分法的稳定性[J]. 振动工程学报, 1991, 4(1): 79-84
作者姓名:顾家柳 任兴民
作者单位:西北工业大学,西北工业大学
摘    要:本文借模态分析方法,导出了多自由度系统数值积分中的判稳方法,并以常用的尤拉后差法、纽马克法、呼伯特法为例,阐述了这一通用的数值稳定性分析方法,并得到了一些对选择恰当的差分格式有用的结论.

关 键 词:瞬态响应  稳定性  数值积分法

Stability of Numerical Integration Method for Calculation of Transient Dynamic Responses of Structures
Gu Jialiu,Ren Xingmin. Stability of Numerical Integration Method for Calculation of Transient Dynamic Responses of Structures[J]. Journal of Vibration Engineering, 1991, 4(1): 79-84
Authors:Gu Jialiu  Ren Xingmin
Affiliation:Northwestern Polytechnical University
Abstract:A stability identification method of numerical integration for multi-DOF systems is suggested in this paper based on the modal analysis method.As examples the Euler backward difference method, the Newmark method and the Houbolt method are discussed to describe this stability identification method, and some useful results are obtained for choosing some appropriate numerical difference formats.
Keywords:transient response  stability  the numerical integration method
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