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

Abstract EN

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.