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软件数值积分误差原因分析及改进办法
引用本文:张永强,宋建江,屠良尧,薛姗.软件数值积分误差原因分析及改进办法[J].机械强度,2006,28(3):419-423.
作者姓名:张永强  宋建江  屠良尧  薛姗
作者单位:1. 上海东昊测试技术有限公司,上海,11203;江苏东华测试技术有限公司,江苏,靖江,214500
2. 江苏东华测试技术有限公司,江苏,靖江,214500
3. 上海东昊测试技术有限公司,上海,11203;哈尔滨工业大学,力学系,哈尔滨,150001
基金项目:科技部科技型中小企业技术创新项目;江苏省软件和集成电路产业专项基金项目
摘    要:针对困扰工程使用的软件积分在加速度积分为速度和位移时的误差原因进行详细分析,并且汇总提出一些相应的改进方法。将高通滤波、分段多项式拟合以及经验模态分解(empirical mode decomposition)技术应用于消除数值积分的误差影响,并详细论述各种处理方法的优缺点。用巴东大桥实测的地脉动数据进行数值积分处理,取得满意的积分效果,说明文中消除趋势项的方法是有效可行的。

关 键 词:数值积分  趋势项  高通滤波  分段多项式拟合  经验模态分解技术
收稿时间:2006-01-14
修稿时间:2006-01-142006-03-02

ERROR ANALYSIS AND IMPROVEMENT METHOD WHEN NUMERICAL INTEGRATION WITH SOFTWARE
ZHANG YongQiang,SONG JianJiang,TU LiangYao,XUE Shan.ERROR ANALYSIS AND IMPROVEMENT METHOD WHEN NUMERICAL INTEGRATION WITH SOFTWARE[J].Journal of Mechanical Strength,2006,28(3):419-423.
Authors:ZHANG YongQiang  SONG JianJiang  TU LiangYao  XUE Shan
Affiliation:1. Shanghai Donghao Testing Technology Co. Ltd, Shanghai 211202, China ;2. Jiangsu Donghua Testing Technology Co. Ltd, Jingjiang 214500, China;3. Department of Mechanics, Harbin Institude of Technology, Harbin 150001, China
Abstract:The cause of the errors brought by the software integral that troubles the engineering application for measuring velocity and displacement is analyzed in detail. Some corresponding improved methods are summarized. High-pass filter, piecewise polynomial fitting and empirical mode decomposition(EMD) are applied to eliminate the error effect of numerical integral and their corresponding merits and demerits are detailedly reviewed. The satisfying integral effects for the numerical integral of Badong bridge earth pulsation data show that the proposed method to removal of trends is effective.
Keywords:Numerical integration  Trend  High pass filter  Piecewise polynomial fitting  Empirical mode decomposition
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