A Study of Inertia Force Identification by Inverse Method Between Cantilever Structure and Moving Mass

In this paper, an inverse method which formed by two different parts: Kalman filter part and recursive least-square algorithm part is applied to solve an identification problem of the inertia force between a cantilever beam and a moving mass. Based on the basic Euler-Bernoulli beam model, the discretized state space model of the cantilever beam and moving mass system, which transform from the differential equations about the inertia force and modal responses of the cantilever beam, is established. Both the recursive inverse method and the traditional least square method are adapted to the none-noise and noise simulation deflection data which is obtained by the finite element method. The results show that although both two algorithms can bring good results in dealing with the none-noise data, the inverse method has a strong ability to estimate the inertia force in the strong-noise environment, where the traditional least square method fails. Finally, a field experiment is conducted and the identification results show that the recursive inverse method can be adapted to estimate the inertia force between the cantilever and moving mass successfully.