One novel dynamical calibration method to identify two-dimensional distributed load

Abstract

For dynamic load identification, the identification of distributed load can be converted to that of the orthogonal polynomial coefficients by introducing the generalized orthogonal polynomial. Thus, the dynamic calibration technology is constructed to study the relationship between the system responses and the orthogonal polynomial coefficients to identify the load. The traditional dynamic calibration method, that is simulation dynamic calibration, is applied based on the finite element model, which has the model error that leads to the low identification accuracy of the dynamic load. Therefore, in this paper, we propose a novel dynamical calibration method based on the orthogonal polynomials and the Gauss-Legendre integral to reconstruct the distributed load in frequency-domain. This method is introduced in detail by determining the Gauss-points appropriately and establishing the dynamic calibration matrix of elastic thin plate structure. Thus, the influence of the model error on load identification accuracy can be eliminated to improve the identification accuracy. To verify the effectiveness and accuracy, two simulation examples are studied to demonstrate the advantage of the proposed method compared with the simulation dynamic calibration. Moreover, the experiment is also performed to further validate the feasibility, and the results show that this method is effective and can achieve high accuracy for distributed load identification.