Abstract This study is aimed to reconstruct displacements from measured accelerations based on a low-frequency attenuation (LFA) algorithm. The integration of acceleration is conducted directly in frequency domain and the integral accuracy is governed by an accuracy control factor (ACF). A finite element simulation is conducted to compare the integral accuracy of this algorithm with those of several other conventional integration algorithms and then the superiority of the LFA algorithm is verified. At the same time, a numerical study and a vibration test rig with limit positions of impact are designed to investigate the influence of the ACF on integration accuracy for the LFA algorithm. Besides, three error evaluation indices are proposed to evaluate the integration accuracy. The investigations indicate that the determination of the value of the ACF should fully consider the level of low frequency noise, and it is better to select a relatively large value to ensure a good effect of eliminating the trend error and/or drift error. According to this research, the value of the ACF is suggested to be selected in the range from 0.90 to 0.98 so that integral results with high accuracy can be obtained in engineering applications.

中文翻译：

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基于低频衰减算法的测量加速度位移重建和积分精度控制

摘要 本研究旨在基于低频衰减 (LFA) 算法从测量的加速度重建位移。加速度的积分直接在频域中进行，积分精度由精度控制因子 (ACF) 控制。通过有限元仿真，比较了该算法与其他几种常规积分算法的积分精度，验证了LFA算法的优越性。同时，设计了数值研究和具有冲击极限位置的振动试验台来研究ACF对LFA算法积分精度的影响。此外，提出了三个误差评估指标来评估集成精度。调查表明，ACF值的确定应充分考虑低频噪声水平，最好选择较大的值，以保证消除趋势误差和/或漂移误差的良好效果。根据这项研究，ACF 的值建议选择在 0.90 到 0.98 的范围内，以便在工程应用中获得高精度的积分结果。