An efficient conjugate gradient method and application to dynamic force reconstruction

In this paper, we propose and create an efficient conjugate gradient method (MCG) based on a new operator, prove its stability and convergence and apply it to the multi-source dynamic loads identification of practical engineering structure. Numerical simulations of two engineering examples demonstrate that the present method has high efficiency and very robust convergence performance, and reduces the number of iterations. In addition, the proposed method can provide more efficient and numerically stable approximation of the true loads, compared with the Landweber iteration method. The results validate the stability and the effectiveness of the present method and coincide with the results of the theoretical analysis.