New Method To Obtain Ground Velocity and Displacement From Strong Motion Accelerogram Based on Zero Initial Condition

Abstract eng:
The displacement and velocity at certain points of a structure is very important in the field of earthquake engineering, structural vibration control and structural health monitoring. However, acceleration is much easily measured than displacement and velocity in experiments. It is, therefore, necessary to integrate acceleration to get velocity and displacement. However, the absence of initial conditions often renders the integration process affected by significant “drift” errors. To attack this problem, a novel integration method is proposed, by which the zero points of velocity and displacement during steady state vibration are sought for and determined by the rule of the conservation of energy. Furthermore, the “drift” caused by the error of sampling spacing and stochastic vibration is removed by detrending the integrated displacement. The proposed method is applied to two recent seismic motion records. The integrated velocity and displacement are compared with known ones, and it shows that the maximum relative error at extremes are less than 2%, which powerfully demonstrates that the proposed integration method is accurate and practical.

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