000012242 001__ 12242
000012242 005__ 20141205160034.0
000012242 04107 $$aeng
000012242 046__ $$k2008-10-12
000012242 100__ $$aYu, Rui-Fang
000012242 24500 $$aComplex Mode Superposition Method Considering the Effect of Multiple Fold Eigenvalue in Seismic Design

000012242 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000012242 260__ $$b
000012242 506__ $$arestricted
000012242 520__ $$2eng$$aWhen structures possess multiple fold eigenvalues, the orthogonality among different modes no longer exists in most cases. Therefore, in this paper, transfer function method independent of orthogonal relation is adopted to analyze the dynamic response based on theory of linear algebra and complex variable function, the dynamic response analysis method in time domain is derived, which is suitable for both non-classically and classically damped linear system with multiple fold eigenvalues. In addition, the structural response spectrum is introduced successfully and the CCQC algorithm is deduced, which can consider the effect of multi-fold-eigenvalues. The applicability of the deduced formula is verified through Newmark integration computation of liner structure subjected to prescribed earthquake motion. Meanwhile, the results show that, for the structure with multiple fold eigenvalues, the calculation errors will be fairly large if simply neglecting the effect of multiple fold eigenvalues. Finally, it is pointed out that the method derived in this paper is suitable for computing seismic responses of MDOF classical or non-classical damping linear system with or without multiple eigenvalues.

000012242 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012242 653__ $$aComplex mode superposition, multiple fold eigenvalue, transfer function method

000012242 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000012242 720__ $$aYu, Rui-Fang$$iZhou, Xi-Yuan
000012242 8560_ $$ffischerc@itam.cas.cz
000012242 8564_ $$s278397$$uhttps://invenio.itam.cas.cz/record/12242/files/14-0042.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 14-0042.
000012242 962__ $$r9324
000012242 980__ $$aPAPER