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地震工程中动力方程求解的逐步积分方法
引用本文:李小军. 地震工程中动力方程求解的逐步积分方法[J]. 工程力学, 1996, 13(2): 110-118
作者姓名:李小军
作者单位:国家地震局地球物理研究所
摘    要:
许多数值逐步积分方法在地震动力问题分析中得到了应用,但对于每一问题选用适当的逐步积分方法非常必要。本文介绍了地震工程中应用的一些时域数值逐步积分方法,分析与阐述了它们的基本特性(计算稳定性,精度,高频能耗性,幅值超越性),并在此基础上就合理地选用数值逐步积分方法问题给出了建议。

关 键 词:逐步积分,稳定性,高频能耗性,幅值超越性.

STEP-BY-STEP INTEGRATION METHODS FOR SOLVING DYNAMIC EQUATIONS IN EARTHQUAKE ENGINEERING
Li Xiaojun. STEP-BY-STEP INTEGRATION METHODS FOR SOLVING DYNAMIC EQUATIONS IN EARTHQUAKE ENGINEERING[J]. Engineering Mechanics, 1996, 13(2): 110-118
Authors:Li Xiaojun
Abstract:
Many numerical step-by-step integration methods are applied to analyses of dynamic problems in earthquake engineering, but a proper method is often needed for a specificproblem. In this paper, the main numerical integration methods used in earthquake engineering are introduced, their basic properties (such as stability, accuracy dissipation and overshoot) are discussed. Based on the research, some suggestions are offered for prope selection of the numerical step-by-stop integration methods.
Keywords:stop-by-step integration   stability   dissipation   overshoot
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