000012326 001__ 12326
000012326 005__ 20141205160043.0
000012326 04107 $$aeng
000012326 046__ $$k2008-10-12
000012326 100__ $$aZhao, Mi
000012326 24500 $$aStability and Identification for Continuous-Time Rational Approximation of Foundation Frequency Response

000012326 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000012326 260__ $$b
000012326 506__ $$arestricted
000012326 520__ $$2eng$$aContinuous-time rational approximation (CRA) of foundation frequency response is the first step of a systematic procedure for constructing various high-order lumped-parameter models (LPMs) in foundation vibration analysis. The stability and accuracy of CRA determine those of its LPMs as realizations. In this paper, the stability and identification of CRA are studied. The necessary and sufficient stability conditions are presented based on the linear-system stability theory and the input-output case of LPMs. A parameter identification method is further proposed by directly solving a nonlinear least-squares fitting problem using the hybrid genetic-simplex optimization algorithm, where the proposed stability conditions are considered by the penalty function method. A stable and accurate CRA is obtained by this method and is then realized as Wu-Lee’s and Wolf’s LPMs. The proposed stability theory and identification method is verified by analyzing several typical foundation vibration problems and comparing with Wu-Lee’ and Wolf’s results.

000012326 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012326 653__ $$afoundation vibration, lumped-parameter model, continuous-time rational approximation, stability, identification

000012326 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000012326 720__ $$aZhao, Mi$$iDu, Xiuli$$iZhao, Jianfeng
000012326 8560_ $$ffischerc@itam.cas.cz
000012326 8564_ $$s384755$$uhttps://invenio.itam.cas.cz/record/12326/files/14-0291.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 14-0291.
000012326 962__ $$r9324
000012326 980__ $$aPAPER