Journal
SYMMETRY-BASEL
Volume 14, Issue 11, Pages -Publisher
MDPI
DOI: 10.3390/sym14112449
Keywords
dynamic load identification; extended Kalman filter; recursive least square method; unknown parameter
Categories
Funding
- Foundation of National Key Laboratory of Science and Technology on Rotorcraft Aeromechanics
- Qing Lan Project
- National Natural Science Foundation of China
- [61422202105]
- [51775270]
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This paper proposes a dynamic load identification algorithm based on the extended Kalman filter for structures with unknown mass and stiffness coefficients, which has higher accuracy and a wider application scope compared to the traditional methods.
The inverse problem and the direct problem are symmetrical to each other. As a mathematical method for inverse problems, dynamic load identification is applicable to the situation when the load acting on the structure is difficult to measure directly. In addition, in most practical fields, the exact value of the structural parameters cannot be obtained precisely, which makes the inverse problem beyond the capabilities of traditional dynamic load identification methods. Hence, in this work, we propose a dynamic load identification algorithm based on the extended Kalman filter (EKF) for a structure with unknown parameters. The algorithm is discussed under different conditions where the unknown parameters are either the stiffness or the mass of the structure. Such a case has not been considered in other literature yet. In order to verify the advantages of the proposed method, the recursive least square method was also used to compare the results. A 5-Dof symmetric system with unknown coefficients was selected for numerical simulation examples, and the influence of noise on the algorithm was also considered in the simulation. The results show that the proposed algorithm is effective for structures with unknown mass and stiffness coefficients. Compared with the recursive least square method, the method proposed in this paper has the higher accuracy and a wider application scope.
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