| 用于强震记录仿真地动位移的高精度累积数值积分方法研究 |
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| 引用本文： | 曲保安,刘希强,蔡寅,范晓勇,于庆民,赵银刚,张明,李峰,孙豪.用于强震记录仿真地动位移的高精度累积数值积分方法研究[J].震灾防御技术,2013,8(4):408-415. |
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| 作者姓名： | 曲保安 刘希强 蔡寅 范晓勇 于庆民 赵银刚 张明 李峰 孙豪 |
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| 作者单位： | 山东省地震局泰安基准地震台,泰安 271000;山东省地震局,济南 250014;山东省地震局,济南 250014;中国地震局地球物理研究所,北京 100081;山东省地震局泰安基准地震台,泰安 271000;山东省地震局安丘地震台,潍坊 262100;山东省地震局泰安基准地震台,泰安 271000;山东省地震局泰安基准地震台,泰安 271000;山东省地震局烟台地震台,烟台 264000 |
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| 基金项目： | 国家科技支撑计划课题(2012BAK19B04)资助 |
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| 摘 要： | 针对传统梯形积分方法的低精度缺陷,提出了一套高精度累积数值积分方法.首先对被积数据进行分段三次Hermite插值,之后采用积分区间四等分的Newton-Cotes积分公式进行积分.误差分析表明,本方法精度远高于梯形积分方法精度.在对构建信号进行方法验证的前提下,采用2013年4月20日雅安芦山地震和2008年5月12日汶川地震的真实强震动加速度记录对本方法进行测试,测试结果表明,本方法适用于将强震动加速度记录积分为位移记录.
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| 关 键 词： | 数值积分 插值 Newton-Cotes公式 强震记录 |
| 收稿时间： | 2013/7/31 0:00:00 |
Study on High-Precision Accumulate Numerical Integration Method for Simulation of Ground Displacement from Strong Motion Records |
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| Qu Baoan,Liu Xiqiang,Cai Yin,Fan Xiaoyong,Yu Qingmin,Zhao Yingang,Zhang Ming,Li Feng and Sun Hao.Study on High-Precision Accumulate Numerical Integration Method for Simulation of Ground Displacement from Strong Motion Records[J].Technology for Earthquake Disaster Prevention,2013,8(4):408-415. |
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| Authors: | Qu Baoan Liu Xiqiang Cai Yin Fan Xiaoyong Yu Qingmin Zhao Yingang Zhang Ming Li Feng and Sun Hao |
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| Institution: | 1) Taian Fiducial Seismic Station, EarthquakeAdministrationofShandongProvince, Taian271000, China 2) Earthquake Administration of Shandong Province, Jinan250014, China 3) Institute of Geophysics, China Earthquake Administration, Beijing 100081, China 4)Anqiu Seismic Station, Earthquake Administration of Shandong Province, Weifang262100, China 5)Yantai Seismic Station, Earthquake AdministrationofShandongProvince, Yantai 264000, China) |
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| Abstract: | Aiming at the low precision defect of traditional trapezoidal integral method, a set of high precision accumulate numerical integration method is proposed in this paper. Firstly, piecewise cubic Hermite interpolation is processed to the target data. Then the data were integrated by Newton-Cotes integral formula with integrating range divided into four equal parts. Error analysis shows that the precision of this method is much higher than that of trapezoidal integral. Through the premise of structured signal verification, the method is verified by strong motion records of Yaan lushan earthquake on Apr. 20, 2013. The results demonstrate that this method is applicable to integrate the strong motion acceleration records into displacement records. |
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| Keywords: | Numerical integration Interpolation Newton-Cotes Formula Strong motion records |
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