Abstract
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.
Highlights
With the continuous development of science and technology nowadays, the mechanical structure becomes more and more complex
In many cases of engineering, such as the missile subjected to the wind load and the tall building suffering the seismic load, direct measurement of dynamic loads exerted on the structure is difficult to achieve
Along with the increase of complex engineering problems, force identification technology has become a crucial issue in structural dynamics
Summary
With the continuous development of science and technology nowadays, the mechanical structure becomes more and more complex. In [13], the authors put forward an inverse method that combines the interval analysis with regularization This algorithm is able to stably identify the bounds of dynamic load acting on the uncertain structures. Polynomial interpolated Taylor series method was studied in [15] It advances the technique in parameter identification of structures with significant nonlinear response dynamics. Taylor formula [16, 17], as an indispensable math tool in mathematical analysis, plays a key role on approximate calculation It aims to transform a complex function into a concise polynomial function on the premise of maintaining a high approximation precision. One proposes a new approach for the identification of dynamic loads, utilizing the formula of Taylor-series expansion. The results indicate that the proposed method can obtain more satisfactory identified force time histories even in the case that noise is added into the responses
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