文档介绍：Computers and Structures 77 (2000) 677±691
pstruc
Geometrically nonlinear ®nite element reliability analysis of
structural systems. I: theory
Kiyohiro Imai a, Dan M. Frangopol b,*
a Planning Division, Maintenance Department, Honshu Shikoku Bridge Authority, First Operation Bureau, 4-115 Higashi-Maiko-cho,
Tarumi-ku, Kobe, 655-0047, Japan
b Department of Civil, Environmental, and Architectural Engineering, University of Colorado, Boulder, CO 80309-0428, USA
Received 8 January 1999; accepted 1 December 1999
Abstract
This article reviews the theory of ®nite element reliability analysis of geometrically nonlinear elastic structures
(GNS) based on the total lagrangian formulation. It also puter implementation developments and es-
tablishes the basis of understanding of the applications presented in the second part of this investigation. Because of the
slenderness of GNS, the structural responses are nonlinear even if the strains are within the elastic range. For this
reason, the nonlinear relationships between strains and displacements should be considered. Since the failure surface is
nonlinear, this study reviews the evaluation of structural reliability of GNS by using both ®rst-order and second-order
reliability methods. To evaluate the structural reliability, the linkage of system reliability analysis program RELSYS
with the ®nite element analysis program (FEAP) is presented. puter code RELSYS±FEAP is readily applicable
to the evaluation of system reliability of GNS. Ó 2000 Elsevier Science Ltd. All rights reserved.
Keywords: Finite element; Geometrically nonlinear analysis; Structural reliability; First-order reliability method; Second-order
reliability method; System reliability
1. Introduction To determine the responses of this type of structures,
geometric nonlinearity has to be considered [1±3].
This article reviews the theory of ®nite element reli- The determination of the reliability index of struc-
ability analysis of geomet