A novel time-domain dynamic load identification numerical algorithm for continuous systems

Abstract Structural design and optimization are inseparable from the load acting on the structure. However, a direct measurement of the input loads is very difficult, especially dynamic loads on the large coupled continuous systems. Hence, having an accurate algorithm for the dynamic load identification for continuous systems is critical for solving many vibration problems. In this paper, we propose a novel time-domain algorithm based on the Newmark-β method, which is first attempt to solve the problems of dynamic load identification for continuous systems. By means of modal coordinate transformation and modal truncation method, the algorithm transforms the continuous system with infinite degrees of freedom into a discrete system with multi-degrees of freedom. The conventional implicit Newmark-β method is transformed into an explicit form for the solution of the Y = H F equation, and then the load F can be obtained by inverse solution. The Tikhonov regularization is adopted to overcome the ill-posedness in the inverse problem. Simulated results demonstrate the better accuracy of the proposed algorithm against Green’s kernel function method (GKFM) in the identification of sinusoidal, impact and random loads. To further verify the performance of the proposed algorithm in practical application, experimental studies of dynamic load identification are conducted on a simply supported beam system, and the results show that the algorithm is effective and robust against noises as well.

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