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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。
Aiming at the low precision defect of traditional trapezoidal integration method, a set of high precision integrated numerical integration method is proposed. First, the product data is segmented by Hermite interpolation for three times, and then integrated by the Newton-Cotes integral formula of the quadrant of the integration interval. Error analysis shows that the accuracy of this method is much higher than that of trapezoidal integration method. The proposed method was tested by real strong earthquake acceleration records of Ya’an Lushan Earthquake on April 20, 2013 and Wenchuan Earthquake on May 12, 2008. The test results show that this method is suitable for Strong vibration acceleration record integral displacement record.