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Thu, 24 Sep 2020 15:38:27 GMT
20200924T15:38:27Z

Parametric inverse impulse response based on reduced order modeling and randomized excitations
http://hdl.handle.net/10985/18363
Parametric inverse impulse response based on reduced order modeling and randomized excitations
MONTAGUD, Santiago; AGUADO, JosÃ© Vicente; CHINESTA, Francisco; JOYOT, Pierre
This paper is concerned with the computation of the inverse impulse response of a parametrized structural dynamics problem using reducedorder modeling and randomized excitations. A twostages approach is proposed, involving the solution of both direct and inverse problems. In the first stage, the parametrized structural dynamics problem is formulated in the frequency domain, and solved using a reducedorder modeling approach. As a result, the parametric transfer function of the structure is obtained, and then readily transformed into a parametric direct impulse response (DIR). In the second stage, the parametric inverse impulse response (IIR) is computed. We use randomized excitations to generate synthetic samples inexpensively from the parametric DIR. Based on these, the parametric IIR is computed by minimizing the mean square error between the estimate and the samples. Most importantly, we show that the randomized excitations can be generated by sampling the frequency domain only. Hence, the parametric domain does not need to be sampled, which makes the computation of the parametric IIR very efficient.
Wed, 01 Jan 2020 00:00:00 GMT
http://hdl.handle.net/10985/18363
20200101T00:00:00Z
MONTAGUD, Santiago
AGUADO, JosÃ© Vicente
CHINESTA, Francisco
JOYOT, Pierre
This paper is concerned with the computation of the inverse impulse response of a parametrized structural dynamics problem using reducedorder modeling and randomized excitations. A twostages approach is proposed, involving the solution of both direct and inverse problems. In the first stage, the parametrized structural dynamics problem is formulated in the frequency domain, and solved using a reducedorder modeling approach. As a result, the parametric transfer function of the structure is obtained, and then readily transformed into a parametric direct impulse response (DIR). In the second stage, the parametric inverse impulse response (IIR) is computed. We use randomized excitations to generate synthetic samples inexpensively from the parametric DIR. Based on these, the parametric IIR is computed by minimizing the mean square error between the estimate and the samples. Most importantly, we show that the randomized excitations can be generated by sampling the frequency domain only. Hence, the parametric domain does not need to be sampled, which makes the computation of the parametric IIR very efficient.