Newmark精细积分格式及其在地震反应分析中的应用

英文篇名：Integral scheme of direct Newmark precise integration method and its application to seismic response analysis
中文刊名：地震工程与工程振动
英文刊名：Journal of Earthquake Engineering and Engineering Vibration
作者：郭泽英 ; 李青宁
英文作者：GUO Zeying1 ; 2 ; LI Qingning1(1.School of Civil Engineering ; Xi'an University of Architecture and Technology ; Xi'an 710055 ; China ; 2.School of Engineering ; Shanxi Normal University ; Linfen 041004 ; China)
中文关键词：地震反应 ; Newmark-精细直接积分法 ; 逐步积分格式 ; 稳定性分析
英文关键词：seismic response ; direct Newmark precise integration method ; step-by-step integsal scheme ; stability analysis
出版日期：2007-08-15
机构：西安建筑科技大学土木工程学院,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,陕西西安710055
年：2007
期：04
出版单位：地震工程与工程振动

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。
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.

引文

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