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Newmark精细积分格式及其在地震反应分析中的应用
引用本文:郭泽英,李青宁.Newmark精细积分格式及其在地震反应分析中的应用[J].地震工程与工程振动,2007,27(4):30-34.
作者姓名:郭泽英  李青宁
作者单位:西安建筑科技大学,土木工程学院,陕西,西安,710055;山西师范大学,工程学院,山西,临汾,041004;西安建筑科技大学,土木工程学院,陕西,西安,710055
基金项目:国家自然科学基金项目(10572107)
摘    要:在Newmark精细直接积分法的基础上,应用高斯积分与精细指数运算,提出该方法的两种逐步积分格式。文中对两种积分格式的稳定性和精度进行了分析。经过分析比较,第1种逐步积分格式计算精度较高,其稳定性明显地满足算法稳定性分析的条件;而第2种积分格式计算精度相对较差,且是不稳定的。因此本文将第1种积分格式应用于结构的地震反应分析中。算例表明,该逐步积分格式对地震作用有很好的适应性。

关 键 词:地震反应  Newmark-精细直接积分法  逐步积分格式  稳定性分析
文章编号:1000-1301(2007)04-0030-05
修稿时间:2007-02-02

Integral scheme of direct Newmark precise integration method and its application to seismic response analysis
GUO Zeying,LI Qingning.Integral scheme of direct Newmark precise integration method and its application to seismic response analysis[J].Earthquake Engineering and Engineering Vibration,2007,27(4):30-34.
Authors:GUO Zeying  LI Qingning
Abstract:Based on the direct Newmark precise integration method,two step-by-step integral schemes are presented by applying the Gauss integration algorithm and the precise exponential matrix calculation.The accuracy and stability of these two integral schemes are analyzed.By comparing the two integral schemes,it can be seen that the precision of the first scheme is higher than that of the second one.The stability of the first scheme apparently satisfies the conditions of algorithmic stability analysis theory,while the second scheme is unstable.Therefore the first scheme is applied to the seismic response analysis of structures.Example shows the adaptability of the first integral scheme to the eartiquake response analysis.
Keywords:seismic response  direct Newmark precise integration method  step-by-step integsal scheme  stability analysis
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