Time Domain Estimation of Excitation Forces for Mechanical Structures by Kalman Filter

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Other Title
  • カルマンフィルタによる機械構造物の時間領域加振力推定に関する研究
  • (Optimization for Weighted Coefficients)
  • （重み係数の最適化）

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<p>This paper is concerned with improving the accuracy of estimation of non-stationary inputs by using Kalman filter. The estimation accuracy is improved by updating weighted coefficients of covariance matrix every time step. In this paper, an augment system is derived in which state quantities include input forces. The state quantities of the system consist of displacements, velocities, and inputs. The acceleration responses are used as measuring quantities. Then, the state quantities are estimated by the Kalman filter. Here, a procedure is proposed to update the covariance matrix components related to the input. The estimated displacements are used to decide the weighted coefficients. The feasibility of real-time estimation is considered by using Brute force selection and the golden section algorithm. In this paper, the excitation input is applied to the mechanical structure with 5 degrees of freedom, and the excitation input is estimated from the vibration response. In this study, the input estimation is experimentally performed under various conditions, and the effectiveness of the method by updating the weighted coefficients is verified.</p>

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