Displacement reconstruction from measured accelerations and accuracy control of integration based on a low-frequency attenuation algorithm

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.