| A varying time-step explicit numerical inte-gration algorithm for solving motion equa-tion |
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| 作者姓名： | 周正华 王宇欢 刘泉 尹晓涛 杨程 |
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| 作者单位： | Institute of Engineering Mechanics，China Earthquake Administration，Harbin150080，China，Institute of Mechanics，Chinese Academy of sciences，Beijing100080，China，Institute of Engineering Mechanics，China Earthquake Administration，Harbin150080，China，Institute of Engineering Mechanics，China Earthquake Administration，Harbin150080，China，Institute of Engineering Mechanics，China Earthquake Administration，Harbin150080，China，Institute of Engineering Mechanics，China Earthquake Administration，Harbin150080，China |
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| 基金项目： | National Natural Science Foundation of China (50178065), 973 Program (2002CB412706), National Social Com-monweal Research Foundation (2002DIB30076) and Joint Seismological Science Foundation (101066). |
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| 摘 要： | Introduction In linear elastic medium,motion equation for lumped-mass finite element simulation of wave motion is expressed as(LIAO,2002)∑=+lililii ttGtM)()()(FUU&&(1)where Mi is lumped-mass at node i,Gil is stiffness coefficient of node i with respect to node l,üi(t)is acceleration vectors at node i,Ul(t)is displacement vectors at node l,Fi(t)is the external nodal force vectors acting at node i.If acceleration vectorsüi(t),displacement vectors Ul(t)and the external nodal force vectors…
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| 收稿时间： | 30 December 2003 |
| 修稿时间： | 17 September 2004 |
A varying time-step explicit numerical integration algorithm for solving motion equation |
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| ZHOU Zheng-hua,WANG Yu-huan,LIU Quan,YIN Xiao-tao,YANG Cheng.A varying time-step explicit numerical inte-gration algorithm for solving motion equa-tion[J].Acta Seismologica Sinica(English Edition),2005,18(2):239-244. |
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| Authors: | ZHOU Zheng-hua WANG Yu-huan LIU Quan YIN Xiao-tao YANG Cheng |
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| Institution: | 1. Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China;Institute of Mechanics, Chinese Academy of sciences, Beijing 100080, China
2. Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China |
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| Abstract: | If a traditional explicit numerical integration algorithm is used to solve motion equation in the finite element simu- lation of wave motion, the time-step used by numerical integration is the smallest time-step restricted by the stabil- ity criterion in computational region. However, the excessively small time-step is usually unnecessary for a large portion of computational region. In this paper, a varying time-step explicit numerical integration algorithm is in- troduced, and its basic idea is to use different time-step restricted by the stability criterion in different computa- tional region. Finally, the feasibility of the algorithm and its effect on calculating precision are verified by numeri- cal test. |
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| Keywords: | finite element simulation of wave motion motion equation explicit numerical integration algo-rithm time-step numerical test |
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