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Shock and Vibration
Volume 2016 (2016), Article ID 6461427, 9 pages
Research Article

Identification of Dynamic Loads Based on Second-Order Taylor-Series Expansion Method

1School of Astronautics, Beihang University, 37 XueYuan Road, Haidian District, Beijing 100191, China
2School of Astronautics, Beihang University, Beijing 100191, China

Received 19 May 2015; Revised 2 August 2015; Accepted 31 August 2015

Academic Editor: Miguel Neves

Copyright © 2016 Xiaowang Li and Zhongmin Deng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new method based on the second-order Taylor-series expansion is presented to identify the structural dynamic loads in the time domain. This algorithm expresses the response vectors as Taylor-series approximation and then a series of formulas are deduced. As a result, an explicit discrete equation which associates system response, system characteristic, and input excitation together is set up. In a multi-input-multi-output (MIMO) numerical simulation study, sinusoidal excitation and white noise excitation are applied on a cantilever beam, respectively, to illustrate the effectiveness of this algorithm. One also makes a comparison between the new method and conventional state space method. The results show that the proposed method can obtain a more accurate identified force time history whether the responses are polluted by noise or not.