000009907 001__ 9907
000009907 005__ 20141205153205.0
000009907 04107 $$aeng
000009907 046__ $$k2008-10-12
000009907 100__ $$aDu, Xiuli
000009907 24500 $$aStability and Identification for Continuous-Time Rational Approximation of Foundation Frequency Response

000009907 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000009907 260__ $$b
000009907 506__ $$arestricted
000009907 520__ $$2eng$$aDiscrete-time rational approximation (DRA) of foundation frequency response is the first step of a systematic procedure for constructing various time-domain recursive evaluations (TDREs) in foundation vibration analysis. The stability and accuracy of DRA determine those of its TDREs as realization. In this paper, the stability and identification of DRA are studied. The DRA can be obtained from a continuous-time rational approximation (CRA) of foundation frequency response. If letting the discrete-time frequency equal to the continuous-time one, the high-frequency loss and the aliasing may occur due to the periodic nature of DRA. To avoid these, the bilinear transform is used in this paper, so that the stability and accuracy of the resulting DRA is identical with those of CRA. The stability conditions of DRA are stated in z-plane. The resulting DRA is realized as the direct-form and parallel-form TDREs. The effectiveness of bilinear transform method is verified by analyzing several typical foundation vibration problems using the resulting TDREs and comparing with the results of lumped-parameter models (LPMs) resulting from the same CRA.

000009907 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000009907 653__ $$afoundation vibration, recursive evaluation, discrete-time rational approximation, bilinear transform

000009907 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000009907 720__ $$aDu, Xiuli$$iZhao, Mi$$iJiang, Liping
000009907 8560_ $$ffischerc@itam.cas.cz
000009907 8564_ $$s322779$$uhttps://invenio.itam.cas.cz/record/9907/files/14-0292.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 14-0292.
000009907 962__ $$r9324
000009907 980__ $$aPAPER