The study of structural system dynamic problems by recursive estimation method

Abstract

This paper presents the recursion-relation algorithm to determine the input forces of beam structures and the individual node displacement. The system state equations of the beam structures are based on the average acceleration method, and a dynamic beam matrix equation is constructed by using the finite element method. Implementation of this method involves handling various systems' parameters such as the measurement noise, the modeling error, and the external disturbance. The Kalman filter is used to predict the applied forces and adjusted at each time step according to the measured dynamic response data of structures. The estimator employs a recursive least-squares algorithm to compute the magnitudes of the impulsive loads. The accuracy of the present method is demonstrated by the numerical simulations for loads applied along the axis of a beam on different time frames.