000010774 001__ 10774
000010774 005__ 20141205155802.0
000010774 04107 $$aeng
000010774 046__ $$k2008-10-12
000010774 100__ $$aLiu, Z.J.
000010774 24500 $$aProbabilistic Response and Reliability Evaluation of Nonlinear Structures Under Earthquake

000010774 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000010774 260__ $$b
000010774 506__ $$arestricted
000010774 520__ $$2eng$$aThe first part of the paper introduces an orthogonal expansion method for earthquake ground motion. In the method, seismic acceleration process is represented as a linear combination of deterministic functions modulated by 10 uncorrelated random variables. In the second part of the paper, the recently developed probability density evolution method (PDEM) is employed to study nonlinear random response of structures which are subjected to the external excitations. In the PDEM, a completely uncoupled one-dimensional governing partial differential equation, the generalized density evolution equation, is derived first with regard to evolutionary probability density function of the stochastic response for nonlinear structures. The solution of this equation can put out the instantaneous probability density function. So it is natural to combine the PDEM and the orthogonal expansion of seismic ground motion to study the nonlinear random earthquake response. Furthermore, the aseismatic reliability of structures is assessed using the idea of equivalent extreme-value, which can be used accurately to evaluate structural systems under compound failure criterion. Finally, an example, which deals with a nonlinear frame structure subjected to ground motions, is illustrated to validate the proposed method.

000010774 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000010774 653__ $$aearthquake ground motion, nonlinear structures, random response, reliability, orthogonal expansion, probability density evolution method

000010774 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000010774 720__ $$aLiu, Z.J.$$iLi, Jie
000010774 8560_ $$ffischerc@itam.cas.cz
000010774 8564_ $$s190129$$uhttps://invenio.itam.cas.cz/record/10774/files/05-01-0029.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 05-01-0029.
000010774 962__ $$r9324
000010774 980__ $$aPAPER