Abstract
This paper is concerned with the estimation of transient inputs by using the Kalman filter. An augment system is derived in which state quantities include input forces. Then the theoretical equation of motion was given in previous studies. However, it may be difficult to derive the equation of motion of the existing structure. We need to obtain the state space equations only from the vibration responses. Here, the augmented Kalman filter can estimate the input force in the state quantities and the accelerations of the observed quantities. The covariance matrices were adjusted to improve estimation accuracy in the previous study. An evaluation function of adjustment used rms of the errors between the estimated accelerations and the measured ones. The state quantities of the system derived from the theoretical equation of motion are displacements and velocities, but it is difficult for the physical quantities to specify the state quantities derived by the subspace method. In this paper, the input forces are estimated by the acceleration responses of the five-degree-of-freedom system, and the state space equation is estimated by the subspace method. We consider future issues from the estimation results.
