| 关于Newmark-β法机理的一种解释 |
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| 引用本文： | 李鸿晶,王通,廖旭.关于Newmark-β法机理的一种解释[J].地震工程与工程振动,2011,31(2):55-62. |
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| 作者姓名： | 李鸿晶 王通 廖旭 |
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| 作者单位： | 1. 南京工业大学土木工程学院,江苏,南京,210009
2. 同济大学土木工程防灾国家重点实验室,上海,200092 |
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| 基金项目： | 国家自然科学基金重大研究计划资助项目，地震行业科研专项经费资助项目 |
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| 摘 要： | 一般认为,Newmark-β法属于积分类型的动力数值分析方法,和基于荷载分段插值类型的数值方法不是相同类型的方法.在本文中,研究了这两类方法之间的关系,以最常使用的两种Newmark方法-平均常加速度法和线性加速度法为例,从Newmark基本假定出发推导出这两种方法所具有的荷载分布模式.结果发现:平均常加速度法和线性加...
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| 关 键 词： | Newmark-β方法 分段精确法 算法机理 |
An interpretation on Newmark beta methods in mechanism of numerical analysis |
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| LI Hongjing,WANG Tong,LIAO Xu.An interpretation on Newmark beta methods in mechanism of numerical analysis[J].Earthquake Engineering and Engineering Vibration,2011,31(2):55-62. |
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| Authors: | LI Hongjing WANG Tong LIAO Xu |
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| Institution: | LI Hongjing1,WANG Tong2,LIAO Xu1(1.College of Civil Engineering,Nanjing University of Technology,Nanjing 210009,China,2.State Key Laboratory for Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China) |
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| Abstract: | In general,Newmark beta methods are considered to be a type of integration method for numerical dynamic analysis,so they are different from methods based on interpolation of excitation or so called piecewise exact method in the mechanism of numerical analysis.In this paper,two special cases of the Newmark beta methods,the constant average acceleration method and the linear acceleration method,are selected and researched,and the distribution patterns of excitations over the time step are deduced based on the... |
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| Keywords: | Newmark beta methods piecewise exact method numerical mechanism |
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